The stability and bifurcation of homogeneous diffusive predator–prey systems with spatio–temporal delays | Zendy

Yiwen Tao | Zendy; Jingli Ren | Zendy

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The stability and bifurcation of homogeneous diffusive predator–prey systems with spatio–temporal delays

Author(s) -

Yiwen Tao,

Jingli Ren

Publication year - 2021

Publication title -

discrete and continuous dynamical systems - b

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.864

H-Index - 53

eISSN - 1553-524X

pISSN - 1531-3492

DOI - 10.3934/dcdsb.2021038

Subject(s) - uniqueness , mathematics , stability (learning theory) , hopf bifurcation , bifurcation , predation , constant (computer programming) , homogeneous , mathematical analysis , control theory (sociology) , nonlinear system , computer science , physics , combinatorics , ecology , biology , artificial intelligence , control (management) , quantum mechanics , machine learning , programming language

In this paper, we consider a generalized predator-prey system described by a reaction-diffusion system with spatio-temporal delays. We study the local stability for the constant equilibria of predator-prey system with the generalized delay kernels. Moreover, using the specific delay kernels, we perform a qualitative analysis of the solutions, including existence, uniqueness, and boundedness of the solutions; global stability, and Hopf bifurcation of the nontrivial equilibria.

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