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Positive steady state of a food chain system with diffusion

Pages: 667 - 676, Issue Special, September 2007

 Abstract        Full Text (196.7K)              

Jing Liu - Department of Mathematics, Dalian Maritime University, Dalian, Liaoning, China (email)
Xiaodong Liu - Department of Mathematics, Dalian Maritime University, Dalian, Liaoning, China (email)
Sining Zheng - Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China (email)
Yanping Lin - Department of Mathematics, University of Alberta, Edmonton, Alberta T6G 2G1, Canada (email)

Abstract: This paper deals positive steady state for predator-prey microorganisms in a flow reactor with diffusion and flow. The coexistence conditions for the predator-prey populations are established. The main method used here is the fixed point index theory.

Keywords:  Food chain; Predator-prey; Coexistence; Diffusion; Fixed point index; Steady state; Micro-organism; Nutrient.
Mathematics Subject Classification:  Primary: 92D25, 35J55; Secondary: 35K57.

Received: September 2006;      Revised: April 2007;      Published: September 2007.