EDUCATION

Pursuing

Doctor of Philosophy (PhD) in Mathematical Finance, Texas Tech University, USA

Expected graduation date:  Summer 2026 

Supervisors : Dr. Svetlozar Todorov Rachev ,  Dr. W. Brent Lindquist

Masters of Science (MS) in Statistics, Texas Tech University, USA

Expected graduation date: Spring 2025

Completed

Masters of Science (MS) in Mathematics, Texas Tech University, USA (Spring 2024)

Concentrations: Applied Mathematics

Masters of Philosophy (M. Phil.) in Mathematics, Kathmandu University, Nepal (2016)

Dissertation: Lyapunov function for the dynamical analysis of Lotka-Volterra Predator Prey Model

Abstract : Most of the nonlinear differential equations have no analytic solution. Poincare contributed that one can study the qualitative behavior at equilibrium points of the system rather than seeking an analytic solution. Determination of Lyapunov function is one of the important tools to analyze the qualitative behavior of the system. The study of qualitative behavior at nonhyperbolic critical points is not easy as compared to at hyperbolic critical points. Lotka-Volterra predator prey model is a system of nonlinear differential equations whose nonzero critical point is nonhyperbolic. The work in this dissertation focuses on the determination of Lyapunov function corresponding to nonhyperbolic critical point of the Lotka-Volterra predator prey model to study its dynamical behavior. In fact the study is carried out for the qualitative behavior in two dimension because in the model there is a  prey and a predator. 

Dissertation Advisors: Dr. Dil Bahadur Gurung ,    Dr. Dhurba Adhikari

Masters in Mathematics, Tribhuvan University, Nepal (2007)