Article citationsMore>>

Tu, X.Y., Mu, C.L. and Qiu, S.Y. (2022) Global Asymptotic Stability in a Parabolic-Elliptic Chemotaxis System with Competitive Kinetics and Loop. Applicable Analysis, 101, 1532-1551.
https://doi.org/10.1080/00036811.2020.1783536

has been cited by the following article:

• TITLE: Global Stability of a Three-Species System with Attractive Prey-Taxis

  AUTHORS: Mengxin Chen, Qianqian Zheng

  KEYWORDS: Predator-Prey Model, Global Asymptotic Stability, Prey-Taxis, Lyapunov Function

  JOURNAL NAME: Applied Mathematics, Vol.13 No.8, August 19, 2022

  ABSTRACT: This paper reports the global asymptotic stability of a three-species predator-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 χ, ξ; 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.