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23 August 2023 Positive equilibrium global stability annotation for the Leslie-Gower predator prey model with self-feeding prey
Xinyu Huang, Qin Yue
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Proceedings Volume 12784, Second International Conference on Applied Statistics, Computational Mathematics, and Software Engineering (ASCMSE 2023); 127840A (2023) https://doi.org/10.1117/12.3000024
Event: 2023 2nd International Conference on Applied Statistics, Computational Mathematics and Software Engineering (ASCMSE 2023), 2023, Kaifeng, China
Abstract
Studying the global stability of the positive equilibrium point of the Leslie-Gower predator-prey model of the prey with Holling II self-feeding, we prove that the positive equilibrium point of the system is globally asymptotically stable by constructing a Lyapunov function, and we answer a conjecture proposed by Lin, Liu, Xie and other scholars. And we further explored the effects of self-feeding on the predator populations and the prey populations.
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Xinyu Huang and Qin Yue "Positive equilibrium global stability annotation for the Leslie-Gower predator prey model with self-feeding prey", Proc. SPIE 12784, Second International Conference on Applied Statistics, Computational Mathematics, and Software Engineering (ASCMSE 2023), 127840A (23 August 2023); https://doi.org/10.1117/12.3000024
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KEYWORDS
Mathematical modeling
Numerical simulations
Scientific research
Mathematics
Modeling
Protactinium
Social sciences
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