STABILITY AND TRAVELING WAVES OF DIFFUSIVE PREDATOR-PREY MODEL WITH AGE-STRUCTURE AND NONLOCAL EFFECT

Kai Hong; Peixuan Weng

doi:10.11948/2012013

2012 Volume 2 Issue 2

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Kai Hong, Peixuan Weng. STABILITY AND TRAVELING WAVES OF DIFFUSIVE PREDATOR-PREY MODEL WITH AGE-STRUCTURE AND NONLOCAL EFFECT[J]. Journal of Applied Analysis & Computation, 2012, 2(2): 173-192. doi: 10.11948/2012013

Citation:

Kai Hong, Peixuan Weng. STABILITY AND TRAVELING WAVES OF DIFFUSIVE PREDATOR-PREY MODEL WITH AGE-STRUCTURE AND NONLOCAL EFFECT[J]. Journal of Applied Analysis & Computation, 2012, 2(2): 173-192. doi: 10.11948/2012013

STABILITY AND TRAVELING WAVES OF DIFFUSIVE PREDATOR-PREY MODEL WITH AGE-STRUCTURE AND NONLOCAL EFFECT

School of Mathematics, South China Normal University, Guangzhou, 510631 China

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Abstract

Abstract

The paper is concerned with the dynamical behaviors of a stagestructured diffusive predator-prey model with nonlocal effect and harvesting. The linear stability of the equilibria is investigated by using the characteristic equation technique. By constructing a closed convex set bounded by a pair of upper-lower solutions and using Schauder fixed point theorem, the existence of traveling wave solution connecting two steady states is also derived. Finally, a pair of upper-lower solutions is constructed by using inequality technique and characteristic equations.
- Diffusive predator-prey model /
- stage-structure /
- traveling wave /
- stability /
- Schauder fixed point theorem /
- upper-lower solutions
MSC: 35K57;34K10;92D25

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