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School of Mathematical and Statistical Sciences

Professor

Faculty

TEMPE Campus

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1804

Horst Thieme works in the fields of differential, difference and integral equations and of dynamical systems. Main areas of application are population dynamics and the dynamics of infectious diseases, with an emphasis on conditions for population persistence and extinction. A recent specific interest is the persistence of structured populations with two sexes and its relation to eigenvalues of harmonic maps. Thieme has authored an undergraduate/graduate text on mathematics in population biology and coauthored an advanced graduate text on population persistence and dynamical systems.

Ph.D. University of Muenster, Germany 1976

- S.A. Gourley, G. R\"ost, H.R. Thieme,. Uniform persistence in a model for bluetongue dynamics,. SIAM J. Math. Analysis (2014).
- Wen Jin, Horst R. Thieme. Persistence and extinction of diffusing populations with two sexes and short reproductive season. Discrete and Continuous Dynamical System - B (2014).
- Don A. Jones, Hal L. Smith, and Horst R. Thieme. Spread of Viral Infection of Immobilized Bacteria. Networks and Heterogeneous Media (2013).
- H.L. Smith, H.R. Thieme,. Chemostats and epidemics: competition for nutrients or hosts,. Math. Biosciences and Engineering (2013).
- H.L. Smith, H.R. Thieme,. Persistence and global stability for a class of discrete time structured population models,. Discrete & Continuous Dynamical Systems - Series A (DCDS-A) (2013).
- D. A. Jones, G. R\"{o}st, H.L. Smith, H. R. Thieme,. Spread of phage infection of bacteria in a petri dish. SIAM J. Applied Math (2012).
- Hal L. Smith. Horst R. Thieme. Persistence of bacteria and phages in a chemostat. J. Math. Biol (2012).
- Hal. L. Smith, H.R. Thieme. A reaction-diffusion system with time-delay modeling virus plaque formation. Canadian Appl. Math. Quart (2011).
- Horst R. Thieme. Global stability of the endemic equilibrium in infinite dimension: Lyapunov functions and positive operators,. J. Differential Eqns (2011).
- Stephen Gourley, Horst R. Thieme, Pauline van den Driessche. Stability and persistence in a model for bluetongue dynamics,. SIAM J. Appl. Math (2011).
- Hal L. Smith, Horst R. Thieme. Dynamical Systems and Population Persistence. (2011).
- Thanate Dhirasakdanon, Horst R. Thieme. Stability of the endemic coexistence equilibrium for one host and two parasites. Mathematical Modelling of Natural Phenomena (2010).
- Horst Thieme, J Voigt. Relatively bounded extensions of generator perturbations. Rocky Mountain Journal of Mathematics (2009).
- Thieme, H. Spectral bound and reproduction number for infinite dimensional population structure and time-heterogeneity. SIAM J. Applied Mathematics (2009).
- Thieme, H., Z. Han, R. Trevino. Species decline and extinction: synergy of infectious disease and Allee effect?. Jounral of Biological Dynamics (2009).
- Thieme, Horst R. Distributed susceptibility: a challenge to persistence theory in infectious disease models. Disc. Cont. Dyn. Sys., B (2009).
- Horst Thieme. Differentiability of convolutions, integrated semigroups of bounded semi-variation, and the non-homogeneous Cauchy problem. J. Evolution Equations (2008).
- Horst Thieme, Abdessamad Tridane, Yang Kuang. An epidemic model with post-contact prophylaxis of distributed length. I. Thresholds for disease persistence and extinction. J. Biological Dynamics (2008).
- Horst Thieme, Karl Hadeler. Monotonicity of the spectral bound under rank 1 perturbations. Journal of Mathematical Biology (2008).
- Thieme, H., A. Tridane, Y. Kuang. An epidemic model with post-contact prophylaxis of distributed length. II. Stability and oscillations if treatment is fully effective,. Mathematical Modelling of Natural Phenomena (2008).
- Martcheva, M., H. Thieme. Infinite ODE systems modeling size-structured metapopulations, macroparasitic diseases, and prion proliferation. Structured Population Models in Biology and Epidemiology (2008).
- . Special Issue: On the Occasion of the 60th Birthday of Hal L. Smith. (2008).
- Horst Thieme, Stanley Faeth, Karl Hadeler. An apparent paradox of horizontal and vertical disease transmission. Journal of Bioogical Dynamics (2007).
- Horst Thieme, Thanate Dhirasakdanon, Pauline van den Driessche. A sharp threshold for disease persistence in host metapopulations. Journal of Biological Dynamics (2007).
- Horst Thieme, Timothy Lant. Markov transition functions and semigroups of measures. Semigroup Forum (2007).
- Horst Thieme, Timothy Lant. Perturbation of transition functions and a Feynman-Kac formula for the incorporation of mortality. Positivity (2007).
- . . Review of: Perturbations of Positive Semigroups with Applications (2007).
- Thieme, H. Pathogen competition and coexistence and the evolution of virulence. Mathematics for Life Science and Medicine (2007).
- Horst Thieme, JÃ„urgen Voigt, M Weber, J Voigt. Stochastic semigroups: their construction by perturbation and approximation. Positivity IV - Theory and Applications (2006).
- Maia Martcheva, Horst Thieme, Thanate Dhirasakdanon. Kolmogorov's differential equations and positive semigroups on first moment sequence spaces. Journal of Mathematical Biology (2006).
- Mats Gyllenberg, Timothy Lant, Horst Thieme. Perturbing evolutionary systems on dual spaces by cumulative outputs. Differential and Integral Equations (2006).
- S Baer, B Koii, Yu Kuznetsov, Horst Thieme. Multiparametric bifurcation analysis of a basic two-stage population model. SIAM Journal Applied Mathematics (2006).
- . . Review of: Spatial Deterministic Epidemics (2006).
- Azmy Ackleh, Ben Fitzpatrick, Horst Thieme. Rate distributions and survival of the fittest: a formulation on the space of measures. Disc. Cont. Dyn. Sys. B (2005).
- Jimmy Mopecha, Horst Thieme. Competitive dynamics in a model for river blindness with cross protection. Can. Appl. Math. Quart (2005).
- M Martcheva, Horst Thieme. A Metapopulation Model with Discrete Size Structure. Natural Resource Modeling (2005).
- . Dynamic Aspects of Competition, Adaptation, and Patchiness in Ecology. (2005).
- . Modeling and Control of Natural Resources. (2005).
- . Modeling and Control of Natural Resources, Natural Resource Modeling. (2005).
- Horst Thieme, P Magal. Eventual compactness for semiflows generated by nonlinear age-structured models. Commun. Pure Appl. Anal (2004).
- P Magal, Horst Thieme. Eventual compactness for semiflows generated by nonlinear age-structured models. Discrete and Continuous Dynamical Systems (2004).
- . Semilinear perturbations of Hille Yosida operators. (2004).
- Andre de Roos, Lennart Persson, Horst Thieme. Emergent Allee effects in top predators feeding on structured prey populations. Proc. R. Soc. Lond. B (2003).
- Horst Thieme, X-Q Zhao. Asymptotic speeds of spread and traveling waves for integral equations and delayed reaction-diffusion models. J. Differential Equations (2003).
- J Vrabie, Horst Thieme. Relatively compact orbits and compact attractors for a class of nonlinear evolution equations. J. Dynamics Differential Equations (2003).
- Maia Martcheva, Horst Thieme. Progression age enhanced backward bifurcation in an epidemic model with super-infection. J. Mathematical Biology (2003).
- Thieme, Horst Rudolf. Mathematics in Population Biology. (2003).
- Horst Thieme, C Castillo-Chavez, S Blower, P van den Driessche, D Kirschner, A Yakubu. The transition through stages with arbitrary length distributions, and applications in epidemics. Mathematical Approaches for Emerging and Reemerging Infectious Diseases : Models, Methods and Theory (2002).
- Horst Thieme, Hauke Vobeler. A Stieltjes type convolution for integrated semigroups of strong bounded variation and Lp solutions to the abstract Cauchy problem. Diff. Integral Eqn (2002).
- Horst Thieme, Jinling Yang. An endemic model with variable re-infection rate and application to influenza. Math. Biosci (2002).
- Horst Thieme. Disease extinction and disease persistence in age structured epidemic models. Non-linear Analysis (2001).
- Horst Thieme, Hal Smith. Stable coexistence and bi-stability for competitive systems on ordered Banach spaces. J. Diff. Eqn (2001).
- Horst Thieme, O Diekmann, M Gyllenberg, H Huang, M Kirkilionis, J Metz. On the formulation and analysis of general deterministic structured population models.II.Nonlinear theory. J. Math. Biol (2001).
- Horst Thieme, X Zhao. A nonlocal and delayed predator-prey reaction-diffusion model. Nonlinear Analysis RWA 2 (2001).
- Horst Thieme. Balanced exponential growth for perturbed operator semigroups. Advances in Mathematical Sciences and Applications (2000).
- Horst Thieme. Uniform persistence and permanence for non-autonomous semi flows in population biology. Math. Biosci (2000).
- Horst Thieme, O Diekmann, M Gyllenberg. Lack of uniqueness in transport equations with a nonlocal nonlinearity. Math. Models Methods Appl. Sci (2000).
- Horst Thieme, Zhilan Feng. Endemic models with arbitrarily distributed periods of infection I General theory. SIAM J. Appl. Math (2000).
- Horst Thieme, Zhilan Feng. Endemic models with arbitrarily distributed periods of infection.II Fast disease dynamics and permanent recovery. SIAM J. Appl. Math (2000).
- Thanate Dhirasakdanon, Horst R. Thieme. Persistence of vertically transmitted parasite strains which protect against more virulent horizontally transmitted strains,. Modeling and Dynamics of Infectious Diseases (0).
- . -. (0).

- Thieme,Horst Rudolf*. Dynamical Systems in Host-Parasite and Structured Population Models. NSF-MPS-DMS(8/15/2007 - 7/31/2011).
- Castillo-Chavez,Carlos*, Armbruster,Hans Dieter, Greenwood,Priscilla E, Kuang,Yang, Smith,Hal L, Thieme,Horst Rudolf. EMSW21-MCTP: Mentorship Through Research: A Model for an Emerging Urban American University. NSF-MPS(5/1/2005 - 7/31/2008).
- Thieme,Horst Rudolf*. DYNAMICAL SYSTEMS IN PARASITE-HOST AND STRUCTURED POPULATION MODELS. NSF-MPS(7/15/2003 - 6/30/2007).
- Thieme,Horst Rudolf*. DYNAMICAL SYSTEMS IN STRUCTURED POPULATIONS. NSF-MPS(7/1/1998 - 6/30/2002).
- Thieme,Horst Rudolf*. DYNAMICAL SYSTEMS IN STRUCTURED POPULATIONS. NSF-MPS(8/15/1994 - 7/31/1998).
- Thieme,Horst Rudolf*. STABILITY, OSCILATIONS, & PERSISTENCE IN DIFF. EQUAT. MODELS. NSF(8/1/1991 - 1/31/1995).

Fall 2019 | |
---|---|

Course Number | Course Title |

MAT 475 | Differential Equations |

APM 503 | Applied Analysis |

MAT 792 | Research |

APM 792 | Research |

MAT 795 | Continuing Registration |

APM 799 | Dissertation |

Spring 2019 | |
---|---|

Course Number | Course Title |

APM 502 | Differential Equations II |

APM 790 | Reading and Conference |

MAT 792 | Research |

APM 792 | Research |

MAT 799 | Dissertation |

APM 799 | Dissertation |

Fall 2018 | |
---|---|

Course Number | Course Title |

APM 503 | Applied Analysis |

MAT 792 | Research |

APM 792 | Research |

MAT 795 | Continuing Registration |

APM 799 | Dissertation |

Spring 2018 | |
---|---|

Course Number | Course Title |

APM 502 | Differential Equations II |

MAT 792 | Research |

APM 792 | Research |

MAT 799 | Dissertation |

APM 799 | Dissertation |

Fall 2017 | |
---|---|

Course Number | Course Title |

MAT 370 | Intermediate Calculus |

MAT 371 | Advanced Calculus I |

APM 503 | Applied Analysis |

APM 792 | Research |

MAT 792 | Research |

APM 799 | Dissertation |

Spring 2017 | |
---|---|

Course Number | Course Title |

MAT 371 | Advanced Calculus I |

MAT 591 | Seminar |

MAT 792 | Research |

APM 792 | Research |

MAT 799 | Dissertation |

APM 799 | Dissertation |

Fall 2016 | |
---|---|

Course Number | Course Title |

APM 503 | Applied Analysis |

MAT 792 | Research |

APM 792 | Research |

APM 799 | Dissertation |

Spring 2016 | |
---|---|

Course Number | Course Title |

MAT 591 | Seminar |

MAT 792 | Research |

APM 792 | Research |

MAT 799 | Dissertation |

APM 799 | Dissertation |

Spring 2015 | |
---|---|

Course Number | Course Title |

MAT 371 | Advanced Calculus I |

APM 502 | Differential Equations II |

MAT 591 | Seminar |

APM 792 | Research |

MAT 792 | Research |

MAT 799 | Dissertation |

- Wen Jin, Horst R. Thieme. Two-sex populations with short reproduction season that diffuse under Dirichlet boundary conditions". Mathematical Biology Seminar, ASU (Aug 2014).
- Wen Jin, Horst R. Thieme. Two-sex populations with short reproduction season that diffuse under Dirichlet boundary conditions". The 10th AIMS Conference on Dynamical Systems, SS Nonlinear elliptic and parabolic problems (Jul 2014).
- G. Fan, H.R. Thieme, H. Zhu. Delay differential systems for tick population dynamics. The 10th AIMS Conference on Dynamical Systems etc, SS Delay equations applied to population dynamics (Jul 2014).
- Wen Jin, H.R. Thieme. The spectral radius of homogeneous order-preserving maps and the persistence of dispersing two-sex populations. Applied Mathematics seminar, University of Muenster, Germany (Jul 2014).
- Wen Jin, H.R. Thieme. The spectral radius of homogeneous order-preserving maps and the persistence of dispersing two-sex populations. Analysis and Probability seminar, University of Leipzig, Germany (May 2014).
- Stephen A. Gourley, Gergely Roest, Horst R Thieme. Dynamics of a differential delay system modeling bluetongue. Math. Biology Seminar, ASU (Sep 2013).
- Horst R. Thieme. Eigenvectors of homogeneous of order preserving maps. Mathematics Seminar, University of Cologne (Jul 2013).
- Horst R. Thieme. Eigenvectors of homogeneous of order preserving maps. Positivity VII, Conference, Leiden, The Netherlands (Jul 2013).
- Stephen A. Gourley, Gergely Roest, Horst R Thieme. Dynamics of a differential delay system modeling bluetongue. Mathematics Seminar, University of Muenster (Jul 2013).
- Stephen A. Gourley, Gergely Roest, Horst R Thieme. Dynamics of a differential delay system modeling bluetongue. Mathematics Seminar, University of Heidelberg (Jul 2013).
- Stephen A. Gourley, Gergely Roest, Horst R Thieme. Dynamics of a differential delay system modeling bluetongue. Mathematics Seminar, University of Dresden (Jun 2013).
- Stephen A. Gourley, Gergely Roest, Horst R Thieme. Dynamics of a differential delay system modeling bluetongue. Meeting of the Society of Math. Biology, Tempe, Arizona (Jun 2013).
- Horst R. Thieme. The basic reproduction number for structured populations as spectral radius of a positive operator. Mathematics and Biology: a Roundtrip in the Light of Suns and Stars, Conference, Leiden, The Netherl (Apr 2013).
- Horst R Thieme. Apparent paradoxes in disease models with horizontal and vertical transmission. Mathematical Biology seminar, ASU (Sep 2012).
- Horst R Thieme. Apparent paradoxes in disease models with horizontal and vertical transmission. Mathematical Biology seminar, University of Szeged, Hungary (Jun 2012).
- Horst R Thieme. Global attractors, stability, and population persistence. Mathematics seminar at the University of Szeged, Hungary (Jun 2012).
- Horst R Thieme. Apparent paradoxes in disease models with horizontal and vertical transmission. Mathematical Biology seminar, University of Trento, Italy (Jun 2012).
- Horst R. Thieme. Global attractors, stability, and population persistence. 5th Butler Conference on Differential Equations and Population Biology, Univ. of Alberta, Edmonton (Jul 2011).
- Horst Thieme. Iterative approximation of the spectral radius of a positive operator. 8th European Conference on Mathematical and Theoretical Biology, SS on Semigroups of Operators in Ma (Jun 2011).
- Horst R Thieme. Apparent paradoxes in disease models with horizontal and vertical transmission". Mathematical Biology seminar, National Tsing-Hua University, Hsinchu, Taiwan (May 2011).
- Horst R. Thieme. Global attractors, stability, and population persistence. Mathematical Biology seminar, National Tsing-Hua University, Hsinchu, Taiwan (May 2011).
- Horst R. Thieme. An epidemic model with post-contact prophylaxis of distributed length. Mathematical Biology seminar, National Tsing-Hua University, Hsinchu, Taiwan (May 2011).
- Horst R. Thieme. Population persistence without a compact attractor. Mathematical Biology seminar, National Tsing-Hua University, Hsinchu, Taiwan (May 2011).
- H.R. Thieme. Global attractors and stability, persistence, and the Laplace transform. 10th Annual Red Raider Mini-Symposium (Oct 2010).
- H.R. Thieme. Spectral bound and reproduction number for infinite population structure and time-heterogeneity. Infection Dynamics Days, Utrecht Centre for Infection Dynamics, The Netherlands (Jun 2010).
- Hal L. Smith, H.R. Thieme. Population persistence without a compact attractor. Mathematical Biology seminar, Univ. of Heidelberg, Germany (Jun 2010).
- H.R. Thieme. Differentiability of convolutions, integrated semigroups of bounded semi-variation, and the inhomogeneous Cauchy problem. 8th AIMS Conference on Dynamical Systems, special session on Operator Semigroups and Applications, (May 2010).
- H.R. Thieme. Spectral bound and reproduction number for infinite population structure and time-heterogeneity. 8th AIMS Conference on Dynamical Systems,Special session on Evolution Equations and Mathematical Bio (May 2010).
- Thanate Dhirasakdanon, H.R. Thieme. Infectious diseases in amphibians:adults as reservoir for epidemics in larvae. Joint Mathematics Meetings, AMS Special Session on Biomathematics, San Francisco (Jan 2010).
- H.L.Smith, H.R. Thieme. Population Persistence without a compact attractor. Sec. Internat. Conf. on Mathematical Modeling and Analysis of Populations in Biology (Oct 2009).
- Hal L. Smith, H.R. Thieme. Population persistence without a compact attractor. Mathematical Biology Seminar, ASU (Sep 2009).
- H.L. Smith, H.R,Thieme. Global compact attractors and their three-way partition under persistence. Graduate School of Math. Sciences, Univ. of Tokyo, Japan (Sep 2009).
- H.L. Smith, H.R. Thieme. Population persistence without a compact attractor. Annual meewting of the Japanese Society of Mathematical Biology (Sep 2009).
- Thanate Dhirasakdanon, H. R. Thieme. Infectious diseases in amphibians: adults as reservoir for epidemics in larvae. Joint Mathematics Meetings, SIAM Minisymposium Math. Modeling of Natural Resources (Jan 2009).
- Thieme, H. Spectral bound and reproduction number for infinite dimensional population structure and time-heterogeneity. AMS regional meeting in Huntsville, Special session on Mathematical Biology (Oct 2008).
- Thieme, H. Differentiability of convolutions, integrated semigroups of bounded semi-variation, and the inhomogeneous Cauchy problem. International Conference on Infinite Dimensional Dynamical Systems (Sep 2008).
- Thieme, H. Distributed susceptibility: a challenge to persistence theory in infectious disease models. Mathematical Tools for Multi-Scale Biological Processes, Montana State University, Bozeman (Jun 2008).
- Thieme, H. Spectral bound and reproduction number for infinite dimensional population structure and time-heterogeneity. Differential Equations and Applications to Mathematical Biology, Le Havre, France (Jun 2008).
- Thieme, H., A. Tridane, Y. Kuang. An epidemic model with post-contact prohylaxis of distributed length. Workshop on Population Dynamics and Mathematical Biology, Luminy, France (Jun 2008).
- Thieme, Horst. Pathogen competition and coexistence, and the evolution of virulence. AMS regional meeting, Special session on Dynamical Systems and Diffential Equations (May 2008).
- Thieme, Horst , A. Tridane, Y. Kuang. An epidemic model with post-contact prohylaxis of distributed length. 7th AIMS Int. Conf. on Dynamical Systems etc., Special session on Delay Differential Equations (May 2008).
- Thieme, H., T. Dhirasakdanon, Z. Han, R. Trevino. Species decline and extinction: synergy of infectious disease and Allee effect. 7th AIMS Int. Conf. on Dynamical Systems etc., Special session on Dynamical Systems in Biology and (May 2008).
- Thieme, H. Species disappearance: a combination of infectious disease and Allee effect?. Joint Mathematics Meetings, AMS Special Session on Recent Advances in Mathematical Biology, etc (Jan 2008).
- Thieme, Horst. An apparent paradox of horizontal and vertical disease transmission. Dynamical Systems Theory and Its Applications to Biology and Environmental Sciences (Mar 2007).
- Martcheva, Maia, Thieme, Horst, Dhirasakdanon, Thanate. Kolmogorov's differential equations and Markov population chains. Joint Mathematics Meeting, special session on Recent Advances in Mathematical Biology & Epidemiology (Jan 2006).
- Martcheva, Maia, Thieme, Horst. Infinite ODE systems modeling size-structured metapopulations and macroparasitic diseases. International Workshop on Differential Equations in Mathematical Biology (Jul 2005).
- Martcheva, Maia, Thieme, Horst, Dhirasakdanon, Thanate. Positive semigroups and dynamical systems on sequence spaces, with applications to metapopulations and Markov chains. Positivity IV - Theory and Applications (Jul 2005).
- Faeth, S, Hadeler, K, Thieme, Horst. A paradox of horizontal and vertical disease transmission. Regional AMS meeting, special session on "Extinction, Periodicity, and Chaos in Population and Epi" (Apr 2005).
- Thieme, Horst. Spatially implicit metapopulations with discrete patch size structure. Canada-France Meeting of Mathematics, special session on Mathematical Biology (Jul 2004).
- Thieme, Horst. Asymptotic speeds of spread and traveling waves for integral equations and delayed reaction diffusion models. Dynamical Systems and Differential Equations, special session on Mathematical Biology (Jun 2004).
- Thieme, Horst. Asymptotic speeds of spread and traveling waves for integral equations and delayed reaction diffusion models. Third International Conference on the Numerical Solution of Volterra and Delay Equations (May 2004).
- Thieme, Horst. The most basic stage-structured population model with density-dependent per capita transition rate. International Symposium "Dynamical Systems Theory and Its Applications to Biology and Environmental" (Mar 2004).
- Thieme, Horst. Competitive dynamics in a model for onchocerciasis with cross-immunity. Arizona Days
- Martcheva, Maia, Thieme, Horst. Infinite ODE Systems Modeling Size-structured Metapopulations and Macroparasitic Diseases. Workshop on Spatial Ecology: The Interplay of Theory and Data
- Thieme, Horst. An apparent paradox of horizontal and vertical disease transmission. Colloquium, University of Louisiana
- Thieme, Horst. An apparent paradox of horizontal and vertical disease transmission. First Workshop on the Mathematics of Global Public Health
- Thieme, Horst. An apparent paradox of horizontal and vertical disease transmission. Mathematical Biology Seminar, Ohio State Univ
- Thieme, Horst. An apparent paradox of horizontal and vertical disease transmission. Mathematical Biology seminar, University of Heidelberg, Germany
- Thieme, Horst. An epidemic model with post-contact prophylaxis of distributed length. Mathematical Modeling and Analysis of Populations in Biological Systems
- Thieme, Horst. An epidemic model with post-contact prophylaxis of distributed length. Colloquium, University of Bremen, Germany
- Thieme, Horst. Disease extinction and persistence in spatially heterogeneous host-parasite models. Annual meeting of AMS, Special Session on Recent Advances

- Turkish J of Mathematics, referee (2014 - Present)
- American Institute of Mathematical Sciences, special session co-organizer (2010 - Present)
- University of Texas at Arlington, reviewer (2009 - Present)
- Governance Grievance Committee, member (2007 - Present)
- Governance Grievance Committee, member (2007 - Present)
- Review Committee (CLAS), member (2007 - Present)
- Review Committee (CLAS), member (2007 - Present)
- Graduate Committee, (2007 - Present)
- Personnel and Budget Committee, member (2014 - 2014)
- journal Discrete and Continuous Dynamical System - B, associate editor (2014 - 2014)
- personnel and budget committee, member (2013 - 2014)
- SIAM J. Applied Mathematics, referee (2013 - 2014)
- Communications on Pure and Applied Analysis, referee (2013 - 2013)
- International Journal of Nonlinear Sciences and Numerical Simulation, referee (2013 - 2013)
- JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, Referee (2013 - 2013)
- Journal of Differential Equations, referee (2013 - 2013)
- Mathematical Biosciences, referee (2013 - 2013)
- Nonlinear Analysis A, Referee (2013 - 2013)
- journal Discrete and Continuous Dynamical System - B, associate editor (2013 - 2013)
- journal Discrete and Continuous Dynamical System - B, associate editor (2012 - 2012)
- J. of the European Math. Soc., referee (2012 - 2012)
- Journal of Differential Equations, referee (2012 - 2012)
- Journal of Mathematical Biology, referee (2012 - 2012)
- Journal of Mathematical Sciences of the University of Tokyo, referee (2012 - 2012)
- Mathematical Reviews (American Math. Soc.), reviewer (2012 - 2012)
- SIAM journal of Applied Dynamical Systems, referee (2012 - 2012)
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- Journal of Nonlinear Analysis - B: Real World Applications, Referee (2005 - 2005)
- Mathematical Biosciences and Engineering, Referee (2005 - 2005)
- Proceedings of the Royal Society: Biological Sciences, Referee (2005 - 2005)
- University of Alabama, External Evaluator (2005 - 2005)
- Zeitschrift fuer Angewandte Analysis, Referee (2005 - 2005)
- Award Committee, member (2004 - 2005)
- Course Buyout ad hoc committee, chair (2005 - 2005)
- European Conference for Mathematical and Theoretical Biology, Organizer of a Minisymposium (2005 - 2005)
- Hiring subcommittee, member (2004 - 2005)
- Graduate student mentoring committee, member (2003 - 2005)
- J. Theoretical Biology, Referee (2004 - 2004)
- NSF, Grant Proposal Reviewer (2004 - 2004)
- AMS, Lead Special Session Organisor (2003 - 2004)
- Amer. Math. Socieity, Reviewer (2004)
- Bull. Math. Biol, Referee (2004)
- Conf. Proceedings, Referee (2004)
- Disc. Cont. Dyn. Sys, Referee (2004)
- J. Dyn. Sys. Diff. Eqn, Referee (2004)
- J. Math. Biol, Referee (2004)
- J. appl. Math, Referee (2004)
- Math. Biosci, Referee (2004)
- Math. Medicine and Biol, Referee (2004)
- NSF of Chile, Grant Proposal Reviewer (2004)
- Natural Resource Modeling, Guest Editor (2004)
- Nonlinear Analysis B "Real world applications", Editoral Board (2004)
- Nonlinear Analysis, Real World Appl, Referee (2004)
- Purdue Univ. Indiana, Reviewer (2004)
- SIAM J. Appl. Dyn. Sys, Referee (2004)
- SIAM J. Appl. Math, Referee (2004)
- Springer Verlag, Reviewer (2004)
- Theor. Pop. Biol, Referee (2004)
- Univ. of Miami, External Evaluator (2004)
- Nonlinear Analysis, Real World Applications, Editoral Board (2003)
- Nonlinear Analysis -- Real world applications, Editoral Board (2002 - 2002)
- Nonlinear Analysis RWA, Editoral Board (2002 - 2002)
- J. Mathematical Analysis Applications, Editoral Board (1995 - 1995)
- Journal of Mathematical Analysis and Applications, Editoral Board (1995 - 1995)