Pattern formation in a variable diffusion predator–prey model with additive Allee effect | Zendy

Zhang Conghui | Zendy; Yuan Hailong | Zendy

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Pattern formation in a variable diffusion predator–prey model with additive Allee effect

Author(s) -

Zhang Conghui,

Yuan Hailong

Publication year - 2019

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.6171

Subject(s) - allee effect , mathematics , singular perturbation , predation , variable (mathematics) , perturbation (astronomy) , predator , diffusion , statistical physics , mathematical analysis , ecology , population , thermodynamics , physics , demography , sociology , biology , quantum mechanics

This paper deals with a variable diffusion predator–prey model with additive Allee effect. A good understanding of the existence of steady states is gained for the case σ = 0 . The result shows that the reduce problem has multiple solutions. Moreover, by applying the singular perturbation method, we give a proof of existence of large amplitude solutions when σ is sufficiently small.

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