Coexistence states for a prey-predator model with cross-diffusion
Coexistence states for a prey-predator model with cross-diffusion
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DOI：
10.1016/j.jmaa.2024.128106
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发表时间：
2024
影响因子：
1.3
通讯作者：
Yaying Dong;Ge Gao;Shanbing Li
中科院分区：
文献类型：
--
作者：
Yaying Dong;Ge Gao;Shanbing Li
本文研究了一类具有交叉扩散的食饵-捕食者模型的共存状态，它不同于Nakashima和Yamada[18]所考虑的系统。利用单边全局分支的结果，我们建立了共存状态存在的一些充分条件。此外，还给出了共存状态不存在的一些充分条件。
This paper is concerned with coexistence states for a prey-predator model with cross-diffusion, which differs from the system considered by Nakashima and Yamada [18]. Making use of the unilateral global bifurcation result, we establish some sufficient conditions for the existence of coexistence states. Moreover, some sufficient conditions for the nonexistence of coexistence states are also given.