Numerical and graphical analysis of competitive hunter model from Lotka-Volterra model

Mizi Sun; Yutong Li; Zerui Xu; Tao Liu; Ruofeng Qiu; Yunfei Qi; Wu Xie

doi:10.1117/12.2685998

28 July 2023 Numerical and graphical analysis of competitive hunter model from Lotka-Volterra model

Mizi Sun, Yutong Li, Zerui Xu, Tao Liu, Ruofeng Qiu, Yunfei Qi, Wu Xie

Proceedings Volume 12756, 3rd International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2023); 127560I (2023) https://doi.org/10.1117/12.2685998
Event: 2023 3rd International Conference on Applied Mathematics, Modelling and Intelligent Computing (CAMMIC 2023), 2023, Tangshan, China

Abstract

The study of species population change is one of the most classic topics in biology. In this paper, we consider not only intra-race competition but also competition between two species. It is assumed that the resources in the environment are finite in this paper. Improved on the Logistic Population Growth Model from Malthusian model, we built the Competitive Hunter Model for trout and bass referring to the Lotka-Volterra Model. In this paper, we presented the assumptions of the model and analyzed the equilibrium points of the model in numerical analysis and the typical trajectories in phase planes in graphical analysis.

Citation Download Citation

Mizi Sun, Yutong Li, Zerui Xu, Tao Liu, Ruofeng Qiu, Yunfei Qi, and Wu Xie "Numerical and graphical analysis of competitive hunter model from Lotka-Volterra model", Proc. SPIE 12756, 3rd International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2023), 127560I (28 July 2023); https://doi.org/10.1117/12.2685998

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