Nonconstant predator harvesting on ratio-dependent predator-prey models

Abstract

The dynamics of a ratio-dependent predator-prey model with two different non-constant harvesting functions depending on the predator population is studied. Equilibria and periodic orbits are computed and their stability properties are analyzed. Several bifurcations are detected as well as connecting orbits. Smooth numerical continuation is performed that allows computation of branches of solutions. Conditions for the boundedness of solutions and for the existence of a bionomic equilibrium are analyzed.

Department(s)

Mathematics

Document Type

Article

Keywords

Dynamical systems, Harvesting, Predator-Prey models

Publication Date

6-16-2010

Journal Title

Applied Mathematical Sciences

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