Miao, L.Y., Yang, H. and Fu, S.M. (2021) Global Boundedness in a Two-Species Predator-Prey Chemotaxis Model. Applied Mathematics Letters, 111, Article ID: 106639.
https://doi.org/10.1016/j.aml.2020.106639

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.