Pattern Dynamics in a Spatial Predator-Prey System with Allee Effect | Zendy

GuiQuan Sun | Zendy; Li Li | Zendy; Zhen Jin | Zendy; Zi-Ke Zhang | Zendy; Tao Zhou | Zendy

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Pattern Dynamics in a Spatial Predator-Prey System with Allee Effect

Author(s) -

GuiQuan Sun,

Li Li,

Zhen Jin,

Zi-Ke Zhang,

Tao Zhou

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/921879

Subject(s) - allee effect , mathematics , predator , predation , turing , stability (learning theory) , statistical physics , dynamics (music) , spatial ecology , ecology , biology , population , physics , computer science , demography , machine learning , sociology , acoustics , programming language

We investigate the spatial dynamics of a predator-prey system with Allee effect. By using bifurcation analysis, the exact Turing domain is found in the parameters space. Furthermore, we obtain the amplitude equations and determine the stability of different patterns. In Turingspace, it is found that predator-prey systems with Allee effect have rich dynamics. Our results indicate that predator mortality plays an important role in the pattern formation of populations. More specifically, as predator mortality rate increases, coexistence of spotted and stripe patterns, stripe patterns, spotted patterns, and spiral wave emerge successively. The results enrich the finding in the spatial predator-prey systems well

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