Dynamics of a Diffusive Predator-Prey Model with Allee Effect on Predator | Zendy

Xiaoqin Wang | Zendy; Yongli Cai | Zendy; MA Hui-hai | Zendy

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Dynamics of a Diffusive Predator-Prey Model with Allee Effect on Predator

Author(s) -

Xiaoqin Wang,

Yongli Cai,

MA Hui-hai

Publication year - 2013

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2013/984960

Subject(s) - allee effect , predator , turing , predation , statistical physics , mathematics , stability (learning theory) , persistence (discontinuity) , instability , diffusion , physics , ecology , computer science , mechanics , biology , population , demography , geotechnical engineering , machine learning , sociology , engineering , programming language , thermodynamics

The reaction-diffusion Holling-Tanner prey-predator model considering the Allee effect on predator, under zero-flux boundary conditions, is discussed. Some properties of the solutions, such as dissipation and persistence, are obtained. Local and global stability of the positive equilibrium and Turing instability are studied. With the help of the numerical simulations, the rich Turing patterns, including holes, stripes, and spots patterns, are obtained

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