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- Title
Starvation Driven Diffusion as a Survival Strategy of Biological Organisms.
- Authors
Cho, Eunjoo; Kim, Yong-Jung
- Abstract
The purpose of this article is to introduce a diffusion model for biological organisms that increase their motility when food or other resource is insufficient. It is shown in this paper that Fick's diffusion law does not explain such a starvation driven diffusion correctly. The diffusion model for nonuniform Brownian motion in Kim (Einstein's random walk and thermal diffusion, preprint , ) is employed in this paper and a Fokker-Planck type diffusion law is obtained. Lotka-Volterra type competition systems with spatial heterogeneity are tested, where one species follows the starvation driven diffusion and the other follows the linear diffusion. In heterogeneous environments, the starvation driven diffusion turns out to be a better survival strategy than the linear one. Various issues such as the global asymptotic stability, convergence to an ideal free distribution, the extinction and coexistence of competing species are discussed.
- Subjects
MATHEMATICAL models of diffusion; BROWNIAN motion; STARVATION; LOTKA-Volterra equations; NON-uniform motion; BIOLOGICAL fitness; RANDOM walks
- Publication
Bulletin of Mathematical Biology, 2013, Vol 75, Issue 5, p845
- ISSN
0092-8240
- Publication type
Article
- DOI
10.1007/s11538-013-9838-1