Title

Continuous threshold prey harvesting in predator-prey models

Abstract

The dynamics of a predator-prey model with continuous threshold policy harvesting functions on the prey is studied. Theoretical and numerical methods are used to investigate boundedness of solutions, existence of bionomic equilibria, and the stability properties of coexistence equilibrium points and periodic orbits. Several bifurcations as well as some heteroclinic orbits are computed.

Department(s)

Mathematics

Document Type

Article

Keywords

Dynamical systems, Predator-prey models, Threshold harvesting

Publication Date

3-1-2011

Journal Title

International Journal of Computational and Mathematical Sciences

Citation-only

Share

COinS