STATIONARY SOLUTIONS TO FOREST KINEMATIC MODEL

被引：16

作者：

Chuan, Le Huy ^{[2
]}

Tsujikawa, Tohru ^{[3
]}

Yagi, Atsushi ^{[1
]}

机构：

[1] Osaka Univ, Dept Appl Phys, Suita, Osaka 5650871, Japan

[2] Osaka Univ, Dept Environm Technol, Suita, Osaka 5650871, Japan

[3] Miyazaki Univ, Fac Engn, Miyazaki 8892192, Japan

来源：

GLASGOW MATHEMATICAL JOURNAL | 2009年 / 51卷

基金：

日本学术振兴会;

关键词：

D O I：

10.1017/S0017089508004485

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We continue the study of a mathematical model for a forest ecosystem which has been presented by Y A. Kuznetsov, M. Y Antonovsky, V. N. Biktashev and A. Aponina (A cross-diffusion model of forest boundary dynamics, J Math. Biol. 32 (1994), 219-232). In the preceding two papers (L. H. Chuan and A. Yagi, Dynamical systemfor forest kinematic model, Adv Math. Sci. Appl. 16 (2006), 393409; L. H. Chuan, T. Tsujikawa and A. Yagi, Aysmptotic behavior of solutions for forest kinematic model, Funkcial. Ek vac. 49 (2006), 427-449), the present authors already constructed a dynamical system and investigated asymptotic behaviour of trajectories of the dynamical system. This paper is then devoted to studying not only the structure (including stability and instability) of homogeneous stationary solutions but also the existence of inhomogeneous stationary solutions. Especially it shall be shown that in some cases, one can Construct an infinite number of discontinuous stationary solutions.

引用

页码：1 / 17

页数：17

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