Traveling waves in a diffusive predator–prey system of Holling type: Point-to-point and point-to-periodic heteroclinic orbits

Chufen Wu, Yong Yang and Peixuan Weng

Chaos, Solitons & Fractals, 2013, vol. 48, issue C, 43-53

Abstract: We demonstrate the existence of small amplitude traveling wave train solutions and two kinds of traveling wave solutions of a diffusive predator–prey system with general Holling type functional response, i.e., the analysis shows the existence of periodic orbits, point-to-point connection and point-to-periodic orbit connection. Also, the minimal wave speed for biological invasion is obtained. The method or techniques used here can be extended to a diffusive predator–prey system with more general functional response, not only the Holling type.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:48:y:2013:i:c:p:43-53

DOI: 10.1016/j.chaos.2013.01.003

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