期刊
JOURNAL OF MATHEMATICAL BIOLOGY
卷 68, 期 6, 页码 1341-1370出版社
SPRINGER HEIDELBERG
DOI: 10.1007/s00285-013-0674-6
关键词
Ecological diffusion; Global asymptotic stability; Ideal free distribution; Starvation induced motility
资金
- National Research Foundation of Korea [2009-0077987]
- Chinese NSF [11201148]
- China Postdoctoral Science Foundation [2012M510108]
- ECNU Foundation [78210164]
- National Research Foundation of Korea [2009-0077987] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
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.
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