TY - JOUR
T1 - Global asymptotic stability and the ideal free distribution in a starvation driven diffusion
AU - Kim, Yong Jung
AU - Kwon, Ohsang
AU - Li, Fang
PY - 2014/5
Y1 - 2014/5
N2 - We study a logistic model with a nonlinear random diffusion in a Fokker-Planck type law, but not in Fick's law. In the model individuals are assumed to increase their motility if they starve. Any directional information to resource is not assumed in this starvation driven diffusion and individuals disperse in a random walk style strategy. However, the non-uniformity in the motility produces an advection toward surplus resource. Several basic properties of the model are obtained including the global asymptotic stability and the acquisition of the ideal free distribution.
AB - We study a logistic model with a nonlinear random diffusion in a Fokker-Planck type law, but not in Fick's law. In the model individuals are assumed to increase their motility if they starve. Any directional information to resource is not assumed in this starvation driven diffusion and individuals disperse in a random walk style strategy. However, the non-uniformity in the motility produces an advection toward surplus resource. Several basic properties of the model are obtained including the global asymptotic stability and the acquisition of the ideal free distribution.
KW - Ecological diffusion
KW - Global asymptotic stability
KW - Ideal free distribution
KW - Starvation induced motility
UR - https://www.scopus.com/pages/publications/84897990330
U2 - 10.1007/s00285-013-0674-6
DO - 10.1007/s00285-013-0674-6
M3 - 文章
C2 - 23553461
AN - SCOPUS:84897990330
SN - 0303-6812
VL - 68
SP - 1341
EP - 1370
JO - Journal of Mathematical Biology
JF - Journal of Mathematical Biology
IS - 6
ER -