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has been cited by the following article:

• TITLE: Stability Analysis and Hopf Bifurcation for ODE System of Predator-Prey Model with Mutual Interference

  AUTHORS: Khalid Ahmed Abbakar, Yafei Yang, Alhussein Mohamed, Songchen Xia, Mogahid Mamoon Abkar, Omer Bushra Elfadil Hassan

  KEYWORDS: Predator-Prey Model, Mutual Interference, Hopf Bifurcation, Functional Response

  JOURNAL NAME: Applied Mathematics, Vol.12 No.9, September 14, 2021

  ABSTRACT: In this paper, the temporal and spatial patterns of a diffusive predator-prey model with mutual interference under homogeneous Neumann boundary conditions were studied. Specifically, first, taking the intrinsic growth rate of the predator as the parameter, we give a computational and theoretical analysis of Hopf bifurcation on the positive equilibrium for the ODE system. As well, we have discussed the conditions for determining the bifurcation direction and the stability of the bifurcating periodic solutions.