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Amann, H. (1990) Dynamic Theory of Quasilinear Parabolic Equations II. Differential Integral Equations, 3, 13-75.

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.