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STATIONARY STRUCTURES FOR A WEAKLY COUPLED ELLIPTIC SYSTEM ARISING IN TWO-PREDATOR, TWO-PREY MODELS
Authors:Yun Ping
Institution:Yun Ping Department of Mathematics,Anhui Normal University,Wuhu 241060. China Department of Mathematics,University of Turku,Finland FIN-2004 Tur-ku,Finland Lin Zhigui Department of Mathematics,Yangzhou University. Yangzhou 225002,China
Abstract:Weakly-coupled elliptic system arising in the two-predator, two-prey model is discussed. It is proved that there is no non-constant solution if diffusions or inter-specific competitions are strong, or if the intrinsic growths of the prey are slow and the intrinsic drop rates of predator are fast.
Keywords:Weakly-coupled elliptic system  on-constant solution  diffusion
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