Dynamics of prey threshold harvesting and refuge

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:236

Article

Rebaza, Jorge

关键词: Predator prey models;    Threshold harvesting;    Dynamical systems;   

DOI  :  10.1016/j.cam.2011.10.005

来源: Elsevier

【 摘 要 】

The dynamics of a predator prey model with continuous threshold prey harvesting and prey refuge is studied. One central question is how harvesting and refuge could directly affect the dynamics of the ecosystem, such as the stability properties of some coexistence equilibria and periodic solutions. Theoretical and numerical methods are used to investigate boundedness of solutions, existence of bionomic equilibria, as well as the existence and stability properties of equilibrium points and periodic solutions. Several bifurcations are also studied. (C) 2011 Elsevier B.V. All rights reserved.

【 授权许可】

Free