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Abba Gumel

Professor
Faculty, TEMPE Campus, Mailcode 1804
Professor
Faculty, TEMPE Campus, Mailcode 1804
Professor
Faculty, TEMPE Campus, Mailcode 1804
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

PhD, 1994, Brunel University, England

Abba Gumel's faculty webpage

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
Fall 2017
Course NumberCourse Title
MAT 423Numerical Analysis I
MAT 495Undergraduate Research
APM 792Research
Summer 2017
Course NumberCourse Title
APM 792Research
Spring 2017
Course NumberCourse Title
MAT 275Modern Differential Equations
MAT 590Reading and Conference
APM 792Research
Fall 2016
Course NumberCourse Title
MAT 423Numerical Analysis I
MAT 495Undergraduate Research
Summer 2016
Course NumberCourse Title
APM 792Research
Spring 2016
Course NumberCourse Title
MAT 590Reading and Conference
Fall 2015
Course NumberCourse Title
AML 590Reading and Conference
AML 790Reading and Conference
APM 790Reading and Conference
AML 792Research
AML 799Dissertation
Spring 2015
Course NumberCourse Title
MAT 452Intro Chaos/Nonlinear Dynamics
MAT 499Individualized Instruction
AML 590Reading and Conference
AML 790Reading and Conference
AML 799Dissertation
Fall 2014
Course NumberCourse Title
AML 590Reading and Conference
AML 612Appl Math Life&Soc Sci Mod Sem
AML 790Reading and Conference
AML 792Research
AML 799Dissertation
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)