In this paper, we consider a predator-prey model with prey impulsive diffusion and dispersal delay. By utilizing the dynamical properties of a single-species model with diffusion and dispersal delay between two patches and the comparison principle of impulsive differential equations, we establish the sufficient conditions on the global attractivity of predator-extinction periodic solution and the permanence of species for the model.
机构:
Shanxi Normal Univ, Sch Math & Comp Sci, Linfen 041004, Shanxi, Peoples R ChinaShanxi Normal Univ, Sch Math & Comp Sci, Linfen 041004, Shanxi, Peoples R China
Jia, Jianwen
Li, Chunhua
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机构:
Shanxi Normal Univ, Sch Math & Comp Sci, Linfen 041004, Shanxi, Peoples R ChinaShanxi Normal Univ, Sch Math & Comp Sci, Linfen 041004, Shanxi, Peoples R China
机构:
Qiannan Normal Coll Nationalities, Dept Math, Duyun 558000, Guizhou, Peoples R ChinaQiannan Normal Coll Nationalities, Dept Math, Duyun 558000, Guizhou, Peoples R China