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An explicit solution of Burgers equation with stationary point source
2014
Journal of Differential Equations
The purpose of this article is to introduce a diffusion model for biological organisms that increase their motility if food or resource is not enough. It is shown in this paper that Fick's diffusion law does not give such a starvation (or need) driven diffusion correctly. The diffusion model for non-uniform Brownian motion or non-uniform random walk in [1,2] is employed and a Fokker-Planck type diffusion law is obtained as the result. Lotka-Volterra competition systems for two species are
doi:10.1016/j.jde.2014.05.046
fatcat:jb4ki3inp5e4hoqxjrmntsne3i