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Positive Steady States of a Prey-predator Model with Diffusion and Non-monotone Conversion Rate 被引量:10

Positive Steady States of a Prey-predator Model with Diffusion and Non-monotone Conversion Rate
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摘要 In this paper, we study the positive steady states of a prey-predator model with diffusion throughout and a non-monotone conversion rate under the homogeneous Dirichlet boundary condition. We obtain some results of the existence and non-existence of positive steady states. The stability and uniqueness of positive steady states are also discussed. In this paper, we study the positive steady states of a prey-predator model with diffusion throughout and a non-monotone conversion rate under the homogeneous Dirichlet boundary condition. We obtain some results of the existence and non-existence of positive steady states. The stability and uniqueness of positive steady states are also discussed.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2007年第4期749-760,共12页 数学学报(英文版)
基金 the National Natural Science Foundation of China 10471022 the Ministry of Education of China Science and Technology Major Projects Grant 104090 the Foundation of Excellent Doctoral Disscrtation of Southeast University YBJJ0405
关键词 prey-predator model Steady states EXISTENCE UNIQUENESS STABILITY prey-predator model, Steady states, Existence, Uniqueness, Stability
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