Population evolution in mutualistic Lotka–Volterra system with spatial diffusion

Mao-Xiang Wang and Yu-Qiang Ma

Physica A: Statistical Mechanics and its Applications, 2014, vol. 395, issue C, 228-235

Abstract: We consider the population dynamics of two species described by the mutualistic Lotka–Volterra model with a +/+ interaction in the presence of spatial diffusions. The results demonstrate that diffusion does not affect the system’s stability but it brings two situations: one is a win–win situation where both species propagate with the same largest speed; in the other situation the aggressive species has two propagating wave fronts and the other species travels with a single slow wave front. Our model may help to understand the evolution of mutualism.

Keywords: Lotka–Volterra model; Wave propagation; Mutualistic population dynamics (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:395:y:2014:i:c:p:228-235

DOI: 10.1016/j.physa.2013.10.019

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