Art

J-GLOBAL ID：200902296011760927   Reference number：09A0530680

Stationary Patterns for a Lotka-Volterra Cooperative Model with a Density-Dependent Diffusion Term

密度依存拡散項を含むLotka-Volterra共同モデルの定常パターン

Author (1)： OEDA Kazuhiro (Waseda Univ.)
Material： Funkcialaj Ekvacioj. International Series  (Funkcialaj Ekvacioj)
Volume： 52  Issue： 1  Page： 93-112 (J-STAGE)  Publication year： 2009 
JST Material Number： L4931A  ISSN： 0532-8721  Document type： Article
Article type： 原著論文  Country of issue： Japan (JPN)  Language： ENGLISH (EN)

Thesaurus term： *diffusion ,  *density dependence ,  *rational expression ,  *solution(mathematics) ,  modeling ,  *pattern formation
Semi thesaurus term： 定常解 ,  rational expression

JST classification (1)： Mathematical physics  (BA03000W)

Reference (19)：

• [1] Chen, B. and Peng, R., Coexistence states of a strongly coupled prey-predator model, J. Partial Differential Equations, 18 (2005), 154-166.
• [2] Chen, X. F., Qi, Y. W. and Wang, M. X., A strongly coupled predator-prey system with non-monotonic functional response, Nonlinear Anal., 67 (2007), 1966-1979.
• [3] Crandall, M. G. and Rabinowitz, P. H., Bifurcation from simple eigenvalues, J. Functional Analysis, 8 (1971), 321-340.
• [4] Gilbarg, D. and Trudinger, N. S., Elliptic Partial Differential Equations of Second Order, 2nd Edition, Springer-Verlag, Berlin, 1983.
• [5] Kadota, T. and Kuto, K., Positive steady states for a prey-predator model with some nonlinear diffusion terms, J. Math. Anal. Appl., 323 (2006), 1387-1401.

Terms in the title (4)： 密度 ,  拡散 ,  共同 ,  モデル