Heterogeneity in behaviour and movement can influence the stability of predator-prey periodic travelling waves. (English) Zbl 1506.92068
In order to understand the effects of heterogeneity on predator-prey, authors study periodic traveling wave solutions of a one-dimensional infinite landscape Rosenzweig-MacArthur reaction-diffusion model with alternating patch types. Applying the method of homogenisation, they show how heterogeneity can affect the stability of periodic traveling waves solutions. Their results illustrate how the effects of heterogeneity can be understood and interpreted using Turchin’s concept of residence index.
Reviewer: Wan-Tong Li (Lanzhou)
MSC:
| 92D25 | Population dynamics (general) |
| 35C07 | Traveling wave solutions |
| 35K57 | Reaction-diffusion equations |
Keywords:
periodic travelling waves; predator-prey; reaction-diffusion; homogenisation; heterogeneityReferences:
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