DIFFUSION OF BIOLOGICAL ORGANISMS: FICKIAN AND FOKKER-PLANCK TYPE DIFFUSIONS

Cited 0 time in webofscience Cited 0 time in scopus
  • Hit : 38
  • Download : 0
In this paper we derive diffusion equations in a heterogeneous environment. We consider a system of discrete kinetic equations that consists of two phenotypes of different turning frequencies. The two phenotypes change their states according to state transition frequencies which depend on the environment. We show that the density of the total population of the two phenotypes converges to the solution of a Fokker-Planck type diffusion equation if turning frequencies are of higher order than the state transition frequencies. If it is the other way around, i.e., if the state changes many times between each turning, the density converges to the solution of a Fickian diffusion equation.
Publisher
SIAM PUBLICATIONS
Issue Date
2019-09
Language
English
Article Type
Article
Citation

SIAM JOURNAL ON APPLIED MATHEMATICS, v.79, no.4, pp.1501 - 1527

ISSN
0036-1399
DOI
10.1137/18M1163944
URI
http://hdl.handle.net/10203/267658
Appears in Collection
MA-Journal Papers(저널논문)
Files in This Item
There are no files associated with this item.

qr_code

  • mendeley

    citeulike


rss_1.0 rss_2.0 atom_1.0