My approach is characterised by developing models that balance realism and tractability, drawing upon insights from mathematics, statistics, and computational techniques. I use ordinary differential equations, partial differential equations, optimal control theory, fractional derivatives, and environmental factors to gain insights into the qualitative behaviour of nonlinear dynamical systems arising from the mathematical modelling of phenomena in the natural sciences, with an emphasis on the transmission dynamics and control of human and animal diseases of public health and socio-economic interest. At larger scales, I am interested in constructing differential equations to describe population dynamics or devising algorithms to optimise resource allocation. I am committed to producing robust and actionable solutions that transcend disciplinary boundaries.

Project

Mathematical Models and Optimisation Strategies for Infectious Diseases and Biological Processes

Goal: This project seeks to develop and analyse compartmental models for diseases and biological processes in humans and animals. We will also predict control measures to reduce the spread of diseases in the selected population while assessing the socio-economic evaluations of the implemented control interventions.

Keywords: Mathematical biology; Mathematical models; Diseases; Stability analysis; Seasonal dynamics; Sensitivity analysis; Optimal control theory; Cost-effectiveness analysis; Riemann-Liouville-Caputo derivative; Atangana-Baleanu-Caputo (ABC) derivative; Caputo-Fabrizio (CF) derivatives; Fractal-fractional derivatives

Methods: Differential Equations, Fractional Calculus, and Optimal Control Theory

RESEARCH AREAS/EXPERIENCES

• Mathematical Epidemiology

• Mathematical Biology

• Computational Biology

• Optimal Control Theory

• Differential Equations

• Applied Fractional Calculus

RESEARCH PROFILE LINKS

• Publications

• Scopus

• Web of Science

• Google Scholar Webpage