Analysis of predator-prey models with continuous threshold harvesting

作者：Leard Benjamin; Rebaza Jorge^*

来源：Applied Mathematics and Computation, 2011, 217(12): 5265-5278.

DOI：10.1016/j.amc.2010.11.050

• Dynamical systems
• Predator-prey models
• Harvesting
• Threshold policy

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.

• 出版日期2011-2-15