Assistant Professor, Department of Mathematics, BITS Pilani, Pilani Campus
I am an Assistant Professor in the Department of Mathematics, BITS Pilani, Pilani campus. My research focuses on the intersection of Mathematics, Epidemiology, and Ecology, with a particular emphasis on understanding infectious disease transmission within interacting populations through complex Dynamical Systems. I analyze mathematical models to explore concepts such as asymptotic stability of steady states, bifurcation, chaos, etc. I am also fascinated by the wide range of spatiotemporal patterns observed in ecosystems and the mathematical principles underlying their formation. In particular, I model the ecosystems using semilinear partial or integro-differential equations and study Turing instability, which examines the instability of spatially uniform steady states under small spatial perturbations. My work also involves optimal control problems aimed at optimizing disease control measures, treatment policies, vaccination strategies, etc.
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