Abstract
This paper analyses the diffusion effect on stability in Lotka-Volterra systems for a patch-type environment. Applying the extended stability theorem of LaSalle, some classes of patches for which the diffusion does not affect the system's stability are drawn. Further, complicated dynamical behaviours in two-prey, one-predator diffusion models are given when the patch does not belong to the above classes.
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This research was supported by the Ministry of Education, Science and Culture, Japan, under Grant AEYS 60740109.
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Takeuchi, Y. Diffusion effect on stability of Lotka-Volterra models. Bltn Mathcal Biology 48, 585–601 (1986). https://doi.org/10.1007/BF02462325
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DOI: https://doi.org/10.1007/BF02462325