Double-Jump migration and diffusive instability.

Yunxin Huang; Odo Diekmann; Frank van den Bosch

doi:10.1016/j.bulm.2003.09.004

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Double-Jump migration and diffusive instability.

Yunxin Huang·Odo Diekmann·Frank van den Bosch

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Abstract

In order to look into the stability consequences of a particular migration process in which individuals choose to settle, we formulated a continuous-time multi-species multi-patch model in which individuals migrate by one or two instantaneous jumps while making the second jump with a certain probability that possibly depends on the conditions at the end point of the first jump. It turned out that a second jump has some quantitative effects on diffusive instability even when it occurs in the absence of density-dependent mechanisms. When a second jump happens as a natural interspecific response of individuals, and such a response is sufficiently strong, it has crucial effects on diffusive instability: it leads to diffusive instability in the case of competitive interactions, whereas it annihilates diffusive instability in the case of prey-predator interactions. We demonstrated these results in the context of two specific examples.

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Animals Diffusion Emigration and Immigration Models, Biological Predatory Behavior Probability Species Specificity Journal Article

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Yunxin Huang, Odo Diekmann, Frank van den Bosch. 2004. Double-Jump migration and diffusive instability.. https://doi.org/10.1016/j.bulm.2003.09.004

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