Continuous Threshold Prey Harvesting in Predator-Prey Models

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.

Authors:

• Jonathan Bohn
• Jorge Rebaza
• Kaitlin Speer

Keywords:

• Predator-prey models
• threshold harvesting
• dynamicalsystems

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