Analysis of predator-prey models with continuous threshold harvesting |
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| Authors: | Benjamin Leard |
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| Affiliation: | a The Charles H. Dyson School of Applied Economics and Management, Cornell University, Ithaca, NY, United States
b Department of Mathematics, Missouri State University, Springfield, MO, United States |
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| 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. |
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| Keywords: | Dynamical systems Predator-prey models Harvesting Threshold policy |
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