Article ID Journal Published Year Pages File Type
4618274 Journal of Mathematical Analysis and Applications 2011 4 Pages PDF
Abstract

We present the asymptotic behavior of the coexistence states near the point of bifurcation from infinity of the formequation(0.1){−Δu=u(a−u)−buvu+einΩ,−Δv=cv+duvu+einΩ subject to homogeneous Dirichlet boundary condition. Here Ω⊂RNΩ⊂RN (N⩾1N⩾1) is a smooth and bounded domain, a, b, d and e   are positive real numbers, while c∈Rc∈R. Our results complement and eventually sharpen the findings of our previous results [J. Zhou, C.L. Mu, Coexistence states of a Holling type-II predator–prey system, J. Math. Anal. Appl. 369 (2) (2010) 555–563].

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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