Coexistence of two species in a strongly coupled cooperative model |
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Affiliation: | 1. School of Mathematical Science, Yangzhou University, Yangzhou 225002, PR China;2. Department of Mathematics, Technical University of Denmark, DK 2800, Lyngby, Denmark |
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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. |
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