Electron. J. Diff. Equ., Vol. 2011 (2011), No. 126, pp. 1-6.

Uniqueness of positive solutions for an elliptic system

Wenshu Zhou, Xiaodan Wei

Abstract:
We prove the uniqueness of positive solutions for an elliptic system that appears in the study of solutions for a degenerate predator-prey model in the strong-predator case.

Submitted April 19, 2011. Published September 29, 2011.
Math Subject Classifications: 35J57, 92D25.
Key Words: Predator-prey model; strong-predator; positive solution; uniqueness.

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Wenshu Zhou
Department of Mathematics
Dalian Nationalities University
Dalian 116600, China
email: pdezhou@126.com, wolfzws@163.com
  Xiaodan Wei
School of Computer Science
Dalian Nationalities University
Dalian 116600, China
email: weixiaodancat@126.com

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