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Li, S.B., Wu, J.H. and Dong, Y.Y. (2018) Effects of a Degeneracy in a Diffusive Predator-Prey Model with Holling Functional Response. Nonlinear Analysis, 43, 78-95.
https://doi.org/10.1016/j.nonrwa.2018.02.003

has been cited by the following article:

• TITLE: The Dynamical Behavior of a Certain Predator-Prey System with Holling Type II Functional Response

  AUTHORS: Shuangte Wang, Hengguo Yu, Chuanjun Dai, Min Zhao

  KEYWORDS: Predator-Prey System, Holling Type II Functional Response, Global Stability, Bifurcation Analysis

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.8 No.3, March 17, 2020

  ABSTRACT: In this paper we analytically and numerically consider the dynamical behavior of a certain predator-prey system with Holling type II functional response, including local and global stability analysis, existence of limit cycles, transcritical and Hopf bifurcations. Mathematical theory derivation mainly focuses on the existence and stability of equilibrium point as well as threshold conditions for transcritical and Hopf bifurcation, which can in turn provide a theoretical support for numerical simulation. Numerical analysis indicates that theoretical derivation results are correct and feasible. In addition, it is successful to show that the dynamical behavior of this predator-prey system mainly depends on some critical parameters and mathematical relationships. All these results are expected to be meaningful in the study of the dynamic complexity of predatory ecosystem.