Abstract
We consider the problem of coexistence of two competing species mediated by the presence of a predator. We employ a reaction-diffusion model equation with Lotka-Volterra interaction, and speculate that the possibility of coexistence is,enhanced by differences in the diffusion rates of the prey and their predator. In the limit where the diffusion rate of the prey tends to zero, a new equation is derived and the dynamics of spatial segregation is discussed by means of the interfacial dynamics approach. Also, we show that spatial segregation permits periodic and chaotic dynamics for certain parameter ranges.
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Ikeda, T., Mimura, M. An interfacial approach to regional segregation of two competing species mediated by a predator. J. Math. Biol. 31, 215–240 (1993). https://doi.org/10.1007/BF00166143
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DOI: https://doi.org/10.1007/BF00166143