| Volume 2, Number 2, 2012, Pages 173-192 DOI：10.11948/2012013 |
| Stability and traveling waves of diffusive predator-prey model with age-structure and nonlocal effect |
| Kai Hong,Peixuan Weng |
| Keywords:Diffusive predator-prey model |
| Abstract: |
| The paper is concerned with the dynamical behaviors of a stage-structured 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. |
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