Acta mathematica scientia,Series B ›› 2001, Vol. 21 ›› Issue (4): 453-459.

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STATIONARY STRUCTURES FOR A WEAKLY COUPLED ELLIPTIC SYSTEM ARISING IN TWO-PREDATOR, TWO-PREY MODELS

 YAN Ping, LIN Zhi-Gui   

  1. Department of Mathematics, Anhui Normal University, Wuhu 241000, China
    Department of Mathematics, University of Turku, FIN-20014 Turku, Finland Department of Mathematics, Yangzhou University, Yangzhou 225002, China
  • Online:2001-10-06 Published:2001-10-06

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.

Key words: Weakly-coupled elliptic system, non-constant solution, diffusion

CLC Number: 

  • 35K60
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