期刊
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
卷 71, 期 12, 页码 E2223-E2232出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2009.05.014
关键词
Nonlinear diffusion of fractional type; Cross-diffusion; Coexistence steady-states; Bifurcation; A priori estimate
资金
- The Ministry of Education, Culture, Sports, Science and Technology, Japan [18740093]
- Japan Society for the Promotion of Science [18540223]
- Grants-in-Aid for Scientific Research [18740093, 18540223] Funding Source: KAKEN
We study a prey-predator model with nonlinear diffusions. In a case when the spatial dimension is less than 5, a universal bound for coexistence steady-states is found. By using the bound and the bifurcation theory, we obtain the bounded continuum of coexistence steady-states. (C) 2009 Elsevier Ltd. All rights reserved.
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