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Abba Gumel
Professor
Faculty
TEMPE Campus
Mailcode
1804
Biography
Abba Gumel uses mathematical and statistical approaches to study the transmission dynamics and control of emerging and re-emerging diseases. His trans-disciplinary research work involves collaboration with biologists and public health practitioners to design novel models for gaining insight into the mechanism for disease transmission and to evaluate the utility of control strategies. Gumel addresses questions such how to optimally use limited intervention resources in times of disease outbreaks (such as a pandemic of influenza or Ebola outbreaks). The current focus of Gumel’s research group is understanding the effect of climate change on the transmission dynamics of vector-borne diseases, such as Chikungunya, Dengue fever, Malaria, Leishmaniasis, West Nile virus and Zika virus. The models typically take the form of systems of nonlinear differential equations. In addition to rigorously analyzing these models, Gumel and his research group use available realistic data to parameterize the models.
Education
Ph.D. Brunel University, England 1994
Research Interests
1. Mathematical Biology: Modeling the spread and control of emerging and re-emerging diseases. I am currently focussed on modeling the impact of climate change on the spread of vector-borne diseases. The overall objective is to contribute to the effort to formulate effective public health policy to curtail the spread of such diseases.
2. Applied Dynamical Systems: Qualitative theory of nonlinear dynamical systems (with emphasis on studying the existence and asymptotic stability of associated steady-state solutions, and characterizing various bifurcation types).
3. Computational Mathematics (Scientific Computing): The design of robust numerical methods that are dynamically-consistent with the associated continuous-time dynamical system being discretized. In particular, I am interested in designing numerical methods that capture the essential properties of the continuous-time system being solved (such as boundedness and positivity of solutions, capturing the correct asymptotic stability properties, characterizing the correct bifurcation types etc.) I am also interested in the design of numerical methods for solving partial differential equations on a parallel architecture.
Research Activity
- Castillo-Chavez,Carlos*, Castillo-Chavez,Carlos*, Castillo-Chavez,Carlos*, Gumel,Abba B, Gumel,Abba B, Mubayi,Anuj. Mathematical Theoretical Biology Institute Research Program For Undergraduates. NSA(2/19/2015 - 2/18/2016).
Teaching Website
Courses
| Summer 2018 | |
|---|---|
| Course Number | Course Title |
| MAT 421 | Applied Computational Methods |
| MAT 792 | Research |
| APM 792 | Research |
| Spring 2018 | |
|---|---|
| Course Number | Course Title |
| MAT 343 | Applied Linear Algebra |
| MAT 492 | Honors Directed Study |
| MAT 494 | Special Topics |
| MAT 590 | Reading and Conference |
| APM 598 | Special Topics |
| APM 792 | Research |
| APM 799 | Dissertation |
| Fall 2017 | |
|---|---|
| Course Number | Course Title |
| MAT 423 | Numerical Analysis I |
| MAT 495 | Undergraduate Research |
| APM 792 | Research |
| Summer 2017 | |
|---|---|
| Course Number | Course Title |
| APM 792 | Research |
| Spring 2017 | |
|---|---|
| Course Number | Course Title |
| MAT 275 | Modern Differential Equations |
| MAT 590 | Reading and Conference |
| APM 792 | Research |
| Fall 2016 | |
|---|---|
| Course Number | Course Title |
| MAT 423 | Numerical Analysis I |
| MAT 495 | Undergraduate Research |
| Summer 2016 | |
|---|---|
| Course Number | Course Title |
| APM 792 | Research |
| Spring 2016 | |
|---|---|
| Course Number | Course Title |
| MAT 590 | Reading and Conference |
| Fall 2015 | |
|---|---|
| Course Number | Course Title |
| AML 590 | Reading and Conference |
| AML 790 | Reading and Conference |
| APM 790 | Reading and Conference |
| AML 792 | Research |
| AML 799 | Dissertation |
| Spring 2015 | |
|---|---|
| Course Number | Course Title |
| MAT 452 | Intro Chaos/Nonlinear Dynamics |
| MAT 499 | Individualized Instruction |
| AML 590 | Reading and Conference |
| AML 790 | Reading and Conference |
| AML 799 | Dissertation |
| Fall 2014 | |
|---|---|
| Course Number | Course Title |
| AML 590 | Reading and Conference |
| AML 612 | Appl Math Life&Soc Sci Mod Sem |
| AML 790 | Reading and Conference |
| AML 792 | Research |
| AML 799 | Dissertation |
Presentations
- Abba Gumel. Mathematical analysis of the role of temperature variations on malaria transmission dynamics. Optimal Decision-Making in Economics, Healthcare and Sustainable Ecosystems, Khlaifa University, UAE (Dec 2014).
- Abba Gumel. Modeling Effect of Climate Change on Malaria Transmission Dynamics. MNS Seminar (Nov 2014).
- Abba Gumel. Dynamically-Consistent Nonstandard Finite-difference Discretization of Continuous-time Models. Applied and Computational Mathematics seminar (inaugural group seminar) (Nov 2014).
- Abba Gumel. Challenges and opportunities in disease modeling: The case for Dengue. First International and Interdisciplinary Workshop on the Ecology, Evolution and Dynamics of Dengue (Aug 2014).
- Abba Gumel and Tufail Malik. Modeling the Spread and Control of Infectious Diseases (special session). AIMS Conference on Dynamical Systems, Differential Equations and Applications, Madrid, Spain (Jul 2014).
Service
- MNS, Seminar Organizer (2014 - Present)
- Simon Levin Mathematical, Computational and Modeling Sciences Center, Deputy Director (2014 - Present)
- Journal of Biological Systems, Associate Editor (2010 - Present)
- Nigerian Mathematical Society, Associate Editor (2009 - Present)
- Mathematical Biosciences and Engineering, Associate Editor (2006 - Present)
- Member, Scientific Advisory Committee of Mathematical Biosciences Institute (MBI), Our committee reviews MBI programs and suggests and decides on annual programs and organizers. (2013 - 2015)