Optimal control study of a predator-prey model with nonlinear prey harvesting

Xiaotao Han; Hua Liu; Yumei Wei

doi:10.1117/12.2638834

17 May 2022 Optimal control study of a predator-prey model with nonlinear prey harvesting

Xiaotao Han, Hua Liu, Yumei Wei

Proceedings Volume 12259, 2nd International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2022); 1225937 (2022) https://doi.org/10.1117/12.2638834
Event: 2nd International Conference on Applied Mathematics, Modelling, and Intelligent Computing, 2022, Kunming, China

Abstract

In this paper, a predator-prey model with nonlinear harvesting of prey is studied, and the impact of harvesting rate on the ecosystem is evaluated. By selecting harvesting rate as a control parameter, the optimal control model of harvesting rate is established. Moreover, using the Pontryagin maximum principle to transform the optimal control problem into a Hamiltonian system, analytical expression of the optimal harvesting rate is obtained. Numerical simulation is performed by using the pseudo-spectral method, and results show that a reasonable harvesting rate can achieve a win-win scenario both economically and ecologically.

Citation Download Citation

Xiaotao Han, Hua Liu, and Yumei Wei "Optimal control study of a predator-prey model with nonlinear prey harvesting", Proc. SPIE 12259, 2nd International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2022), 1225937 (17 May 2022); https://doi.org/10.1117/12.2638834

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