Periodic solution of a periodic prey-predator model with variable carrying capacity

Liya Yang; Guirong Guo

doi:10.1117/12.2678958

14 June 2023 Periodic solution of a periodic prey-predator model with variable carrying capacity

Liya Yang, Guirong Guo

Proceedings Volume 12725, International Conference on Pure, Applied, and Computational Mathematics (PACM 2023); 1272515 (2023) https://doi.org/10.1117/12.2678958
Event: International Conference on Pure, Applied, and Computational Mathematics (PACM 2023), 2023, Suzhou, China

Abstract

Commonly, it is assumed that the carrying capacity is constant in the conventional predator-prey model. In contrast, we investigate a predator-prey scenario which have a common prey in this work, the carrying capacity of the predator and the prey are variables changing with the amount of common prey which consumed by both predator and prey. We were able to establish the necessary requirements in favor of asymptotic stability globally and uniqueness of periodic solutions.

Citation Download Citation

Liya Yang and Guirong Guo "Periodic solution of a periodic prey-predator model with variable carrying capacity", Proc. SPIE 12725, International Conference on Pure, Applied, and Computational Mathematics (PACM 2023), 1272515 (14 June 2023); https://doi.org/10.1117/12.2678958

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