American Institute of Mathematical Sciences

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2007, 2007(Special): 667-676. doi: 10.3934/proc.2007.2007.667

Positive steady state of a food chain system with diffusion

Jing Liu 1, , Xiaodong Liu 1, , Sining Zheng 2, and  Yanping Lin 3,

1. 

Department of Mathematics, Dalian Maritime University, Dalian, Liaoning, China, China
2. 

Department of Applied Mathematics, Dalian University of Technology, Dalian 116024
3. 

Department of Mathematics, University of Alberta, Edmonton, Alberta T6G 2G1

Received  September 2006 Revised  April 2007 Published  September 2007

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: 35K5.
Citation: Jing Liu, Xiaodong Liu, Sining Zheng, Yanping Lin. Positive steady state of a food chain system with diffusion. Conference Publications, 2007, 2007 (Special) : 667-676. doi: 10.3934/proc.2007.2007.667
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