Photo of Mr Wajid Ali

Mr Wajid Ali

Early Stage Researcher and PhD Fellow Mathematical Sciences

Research

Models of evolution in network-structured populations

We will develop eco-evolutionary dynamics models in network-structured populations. These models will be underpinned by real ecological processes by building on competition dynamics models in ecology and epidemiology. The development of this framework is expected to provide insights into evolution in structured populations. It also permits us to represent scenarios in which evolutionary and ecological timescales overlap, particularly in pathogen evolution. We will use the models to explain pathogen evolution data in structured populations obtained under laboratory conditions, using antimicrobial resistance as a model.

Qualitative study of differential equations

I have worked on the qualitative theory of differential equations with focus on stability analysis. Particularly, I have worked asymptotic and Hyers-Ulam stability of certain classes of differential equations.