Coexistence of two species in a strongly coupled cooperative model☆

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Abstract

In this paper, the cooperative two-species Lotka–Volterra model is discussed. We study the existence of solutions to a elliptic system with homogeneous Dirichlet boundary conditions. Our results show that this problem possesses at least one coexistence state if the birth rates are big and self-diffusions and the intra-specific competitions are strong.

Keywords

Cooperative model
Coexistence
Coupled system

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This work was partially supported by PRC grant NSFC 10171088 and the Sino-Danish STC Project NNP53.

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