Starvation Driven Diffusion as a Survival Strategy of Biological Organisms

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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 http://amath.kaist.ac.kr/papers/Kim/31.pdf, 2013) 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.
Publisher
SPRINGER
Issue Date
2013-05
Language
English
Article Type
Article
Keywords

ESCHERICHIA-COLI; SPATIAL SEGREGATION; FLAGELLAR ROTATION; BURGERS-EQUATION; DESERT LOCUST; DISPERSAL; CHEMOTAXIS; MODEL; EVOLUTION; METASTABILITY

Citation

BULLETIN OF MATHEMATICAL BIOLOGY, v.75, no.5, pp.845 - 870

ISSN
0092-8240
DOI
10.1007/s11538-013-9838-1
URI
http://hdl.handle.net/10203/182929
Appears in Collection
MA-Journal Papers(저널논문)
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