Analysis of predator-prey models with continuous threshold harvesting

Abstract

We formulate an alternative form of threshold harvesting and investigate its properties within the framework of a predator-prey model. Our formulation accounts for economic constraints and is defined as a continuous harvesting function of the predator species. Theoretical and numerical analysis indicate that our formulation, which we call continuous threshold policy (CTP), can help improve undesirable behavior of the predator-prey ecosystem. Our study includes uniform boundedness of solutions, stability of equilibria and periodic orbits, bifurcations, and heteroclinic orbits.

Department(s)

Mathematics

Document Type

Article

DOI

https://doi.org/10.1016/j.amc.2010.11.050

Keywords

dynamical systems, predator–prey models, harvesting, threshold policy

Publication Date

2011

Journal Title

Applied mathematics and computation

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