Diffusion effect on stability of Lotka-Volterra models
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.
two-prey, one- predator diffusion models
scientific article; zbMATH DE number 3993368