Limbu_Chandra_P.pdf (1.16 MB)
Download file

A Predator-Prey Model In Deterministic And Stochastic Environments

Download (1.16 MB)
thesis
posted on 23.05.2021, 16:36 by Chandra P. Limbu
We investigate the phase portraits, the uniqueness of limit cycles and the Hopf bifurcations in the Holling-Tanner models in deterministic and stochastic environments. We provide the conditions on the parameters to assure saddle, focus and node. We use numerical simulations to demonstrate our results in the deterministic cases. We also explore the Holling-Tanner model in a stochastic environment by using numerical simulations. We generalize and improve some new results on Holling-Tanner model from Lotka-Volterra model on real ecological systems.

History

Language

eng

Degree

Master of Science

Program

Applied Mathematics

Granting Institution

Ryerson University

LAC Thesis Type

Thesis

Usage metrics

Exports