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.
Further details available at my website: https://math.la.asu.edu/~gumel/
Ph.D. Brunel University London, United Kingdom 1994
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.
Summer 2022 | |
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Course Number | Course Title |
MAT 495 | Undergraduate Research |
APM 792 | Research |
MAT 792 | Research |
APM 795 | Continuing Registration |
APM 799 | Dissertation |
Spring 2022 | |
---|---|
Course Number | Course Title |
MAT 492 | Honors Directed Study |
MAT 494 | Special Topics |
MAT 499 | Individualized Instruction |
MAT 590 | Reading and Conference |
MAT 591 | Seminar |
APM 598 | Special Topics |
APM 790 | Reading and Conference |
MAT 792 | Research |
APM 792 | Research |
APM 795 | Continuing Registration |
MAT 799 | Dissertation |
APM 799 | Dissertation |
Fall 2021 | |
---|---|
Course Number | Course Title |
MAT 275 | Modern Differential Equations |
MAT 493 | Honors Thesis |
MAT 495 | Undergraduate Research |
APM 533 | Mathematical Population Biolog |
MAT 591 | Seminar |
MAT 792 | Research |
APM 792 | Research |
APM 795 | Continuing Registration |
MAT 799 | Dissertation |
APM 799 | Dissertation |
Summer 2021 | |
---|---|
Course Number | Course Title |
MAT 421 | Applied Computational Methods |
APM 792 | Research |
MAT 792 | Research |
APM 795 | Continuing Registration |
Spring 2021 | |
---|---|
Course Number | Course Title |
MAT 492 | Honors Directed Study |
MAT 494 | Special Topics |
MAT 590 | Reading and Conference |
APM 598 | Special Topics |
MAT 792 | Research |
APM 792 | Research |
APM 795 | Continuing Registration |
MAT 799 | Dissertation |
APM 799 | Dissertation |
Fall 2020 | |
---|---|
Course Number | Course Title |
MAT 275 | Modern Differential Equations |
MAT 493 | Honors Thesis |
MAT 495 | Undergraduate Research |
APM 533 | Mathematical Population Biolog |
MAT 792 | Research |
APM 792 | Research |
APM 795 | Continuing Registration |
MAT 799 | Dissertation |
APM 799 | Dissertation |
Summer 2020 | |
---|---|
Course Number | Course Title |
APM 792 | Research |
MAT 792 | Research |
APM 795 | Continuing Registration |
Spring 2020 | |
---|---|
Course Number | Course Title |
MAT 492 | Honors Directed Study |
MAT 494 | Special Topics |
MAT 590 | Reading and Conference |
APM 598 | Special Topics |
MAT 792 | Research |
APM 792 | Research |
APM 795 | Continuing Registration |
MAT 799 | Dissertation |
APM 799 | Dissertation |
Fall 2019 | |
---|---|
Course Number | Course Title |
MAT 353 | Mathematics and Cancer |
MAT 493 | Honors Thesis |
MAT 495 | Undergraduate Research |
APM 533 | Mathematical Population Biolog |
MAT 792 | Research |
APM 792 | Research |
APM 795 | Continuing Registration |
MAT 799 | Dissertation |
APM 799 | Dissertation |
Spring 2019 | |
---|---|
Course Number | Course Title |
MAT 492 | Honors Directed Study |
MAT 494 | Special Topics |
MAT 590 | Reading and Conference |
APM 598 | Special Topics |
MAT 792 | Research |
APM 792 | Research |
MAT 799 | Dissertation |
APM 799 | Dissertation |
Fall 2018 | |
---|---|
Course Number | Course Title |
MAT 275 | Modern Differential Equations |
MAT 493 | Honors Thesis |
MAT 495 | Undergraduate Research |
APM 533 | Mathematical Population Biolog |
MAT 792 | Research |
APM 792 | Research |
MAT 799 | Dissertation |
APM 799 | Dissertation |
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 |