Asymmetrical Impact of Allee Effect on a Discrete-Time Predator-Prey System | Zendy

Wenting Wang | Zendy; Yujuan Jiao | Zendy; Xiuping Chen | Zendy

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Asymmetrical Impact of Allee Effect on a Discrete-Time Predator-Prey System

Author(s) -

Wenting Wang,

Yujuan Jiao,

Xiuping Chen

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/973805

Subject(s) - allee effect , mathematics , predation , population , predator , control theory (sociology) , statistical physics , ecology , computer science , biology , physics , demography , control (management) , artificial intelligence , sociology

A discrete-time predator-prey model is proposed with Leslie-type numerical response, andthe asymmetrical influence of Allee effect on the proposed system is investigated. By mathematical analysis, locally stable conditions for the equilibrium points of the considered systems with or without Allee effect are obtained firstly. Furthermore, numerical simulation is used to verify the results and detect some new outcomes. The results show that Allee effect on predator leads the system to its stable state in much longer time. Conversely, the prey population with Allee effect makes it much faster. In particular, a large value of Allee effect on prey results in periodic dynamics of the system

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