Global Stability of a Three-Species System with Attractive Prey-Taxis
Global Stability of a Three-Species System with Attractive Prey-Taxis
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DOI：
10.4236/am.2022.138041
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发表时间：
2022
期刊：
影响因子：
--
通讯作者：
Mengxin Chen;Qianqian Zheng
中科院分区：
文献类型：
--
作者：
Mengxin Chen;Qianqian Zheng
本文研究了一类具有食饵趋性的三种群捕食者-被捕食者-被捕食系统的全局渐近稳定性。在这些假设下，我们分别建立了其平衡点的全局渐近稳定性结果。结果表明：（1）半平凡平衡点的全局渐近稳定性不涉及食饵趋向系数χ <$;（2）两个边界平衡点的全局渐近稳定性分别依赖于一个食饵趋向系数χ和<$;（3）唯一正平衡点的全局渐近稳定性依赖于两个食饵趋向系数χ和<$.
This paper reports the global asymptotic stability of a three-species preda-tor-prey system involving the prey-taxis. With the assumptions, we establish the global asymptotic stability results of its equilibria, respectively. Our results illustrate that 1) the global asymptotic stability of the semi-trivial equilibrium does not involve the prey-taxis coefficients , χξ ; 2) the global asymptotic stability of two boundary equilibria relies on a single prey-taxis coefficient χ and ξ , respectively; 3) the global asymptotic stability of the unique positive equilibrium depends on two prey-taxis coefficients χ and ξ .