Past Research Activities

Master 2 Internship Title: Game theoretic mathematical modelling approach for the study of honest signalling

Description: This short documents was focused on the evolution of honest signalling from prey to predator. First two levels of quality and signalling strength were considered to study the evolution of honest signalling and role of handicapped principle was elucidated. Then continuous type signalling and quality was consider and adoptive dynamics were studied. 

Master's Thesis Title: Stability and bifurcation analysis of modified Lotka-Volterra models

Description: In my master's thesis  I explored Lotka-Volterra type models for competition and predator-prey dynamics. I looked at the impact small immigrations and migration these interactions. Stability (asymptotic and Ulam's type)  and bifurcation analysis were performed for these models. 

Bachelor's Thesis Title:  Ulam's type stability of impulsive and delay differential equations

Description: In this thesis I worked on the qualitative theory of differential equations with focus on stability analysis. Particularly, I have proved some theorems of existence, uniqueness and Hyers-Ulam stability of  higher order impulsive and delay differential equations. I mainly used Banach's contraction principle and integral inequalities of Gronwall type to prove these results.

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