My research work spans three main areas, as briefly described below.

1. Mathematical Biology: This entails designing, and rigorously analyzing, robust mathematical models for gaining insight into the transmission and control mechanisms of some emerging and re-emerging diseases of humans and other animals. The models, which typically take the form of systems of deterministic non-linear autonomous (or non-autonomous) differential equations, are used to design effective strategies (leading to the formulation of realistic public health policy) for controlling the spread of diseases in a given population. We have addressed research questions pertaining to the ecology, epidemiology and immunology of some diseases of public health importance, such as childhood diseases, chlamydia, Ebola, herpes simplex virus, hepatitis C virus, HIV/AIDS, influenza (seasonal and pandemic), malaria and tuberculosis (human and bovine). Our current research focus is on assessing the role of climatic variables on the biology, ecology and epidemiology of vector-borne diseases.

2. Non-linear Dynamical Systems: This involves using dynamical systems theories and methodologies to analyze the qualitative behaviour of non-linear dynamical systems (discrete-time and continuous-time) associated with the mathematical modelling of real-life phenomena arising in the natural and engineering sciences, with emphasis on disease transmission dynamics and control. We are particularly interested in studying the asymptotic dynamics of the resulting systems, particularly determining conditions for the existence and asymptotic stability (local or global) of the associated steady-state solutions (equilibria, fixed points or periodic).
   

3. Computational Mathematics: I am primarily interested in the design of dynamically-consistent finite-difference methods for solving non-linear dynamical systems associated with the mathematical modelling of physical phenomena arising in the natural and engineering sciences. The objective is that the resulting numerical methods are free of scheme-dependent instabilities (such as contrived oscillations, bifurcations and chaos) and convergence to spurious solutions. I am also interested in designing effective L0-stable finite-difference methods for solving PDEs (on a parallel architecture).
   

Awards & Honors

1. Selected to give the 2021 Einstein Public Lecture by the American Mathematical Society (AMS). This prestigious lecture series was started by the AMS in 2005, in celebration of the centennial anniversary of Einstein's annus mirabilis (Miracle Year), 1905. Each year, an outstanding mathematician, from around the world, is selected to give this lecture during one of the meetings of the AMS. I delivered the lecture on March 20, 2021. Further details about the lecture series available at: http://www.ams.org/meetings/lectures/meet-einstein-lect.
   Click here for the link to the video of the lecture
2. Appointed Fellow of African Scientific Institute (www.asi-org.net) (May 2020).
3. Appointed Founding Fellow, ASU-Santa Fe Institute for Biosocial Complex Systems (January 2015);
4. Merit Award for research excellence in 2011, given by the University of Manitoba and the University of Manitoba Faculty Association. Eight awards are given each year, under the research category, throughout the campus;
5. Merit Award for research excellence in 2010, University of Manitoba;
6. Elected Fellow of the Nigerian Academy of Science (FAS): 2010;
7. Elected Fellow of the African Academy of Sciences (FAAS): 2009;
8. Received the 2009 Lindsay E. Nicolle Award for the best paper published in the Canadian Journal of Infectious Diseases and Medical Microbiology. June 2009, Toronto, Canada. (The award, given annually, is for an author who has made a significant contribution to infectious diseases and medical microbiology, as demonstrated by the impact of their original research published in the journal);
9. Merit Award for research excellence in 2008, University of Manitoba;
10. University of Manitoba award for Outstanding Outreach, December 2008 (one award is given each year);
11. Merit Award for research excellence in 2007, University of Manitoba;
12. Rh. Award for outstanding contributions to interdisciplinary scholarship and research, 2004 (this is the highest research award given to junior faculty at the University of Manitoba);
13. Young African Mathematician Medal (Applied Mathematics), given by the African Mathematical Union (International Conference of Mathematical Sciences, University of Agriculture, Abeokuta, Nigeria, November 2003). This award is given to an African mathematician, under the age of 40, for research contribution and potential;
14. Manitoba Science and Technology Certificate of Achievement, 2003;
15. Listed among the greatest mathematicians of the 1990s on the database of the Mathematicians of the African Diaspora
16. 2021 Bellman Prize (with Kamaldeen Okuneye) link