source: Journal of Physics Conference Series
Abstract
Abstract In this paper we study a two dimensional dynamical system depending on four parameters. This is a subsystem of a three dimensional system of two-preys one-predator system. Our focus is in the dynamics of the system and bifurcations with respect to the variation on the mortality rate of the predator. Interesting co-dimension one bifurcation such as transcritical and Hopf bifurcation have been observed. Furthermore, the system exhibit the existence of infinitely many equilibria as the bifurcation parameter become zero.
Concepts :
Mathematical and Theoretical Epidemiology and Ecology Models
Evolution and Genetic Dynamics
Advanced Differential Equations and Dynamical Systems
article
cite 3
Year 2019
source Journal of Physics Conference Series