DYNAMICAL BEHAVIOR ANALYSIS OF A TWO-DIMENSIONAL DISCRETE PREDATOR-PREY MODEL WITH PREY REFUGE AND FEAR FACTOR | Zendy

Rui Ma | Zendy; Yuzhen Bai | Zendy; Fei Wang | Zendy

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DYNAMICAL BEHAVIOR ANALYSIS OF A TWO-DIMENSIONAL DISCRETE PREDATOR-PREY MODEL WITH PREY REFUGE AND FEAR FACTOR

Author(s) -

Rui Ma,

Yuzhen Bai,

Fei Wang

Publication year - 2020

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/20190426

Subject(s) - predation , bifurcation , predator , mathematics , control theory (sociology) , stability (learning theory) , discrete time and continuous time , mathematical economics , statistics , ecology , computer science , biology , physics , artificial intelligence , nonlinear system , control (management) , quantum mechanics , machine learning

This paper investigates the dynamics of an improved discrete LeslieGower predator-prey model with prey refuge and fear factor. First, a discrete Leslie-Gower predator-prey model with prey refuge and fear factor has been introduced. Then, the existence and stability of fixed points of the model are analyzed. Next, the bifurcation behaviors are discussed, both flip bifurcation and Neimark-Sacker bifurcation have been studied. Finally, some simulations are given to show the effectiveness of the theoretical results.

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