抄録
We consider a nonlinear diffusion equation proposed by Shigesada and Okubo which describes phytoplankton growth dynamics with a selfs-hading effect. We show that the following alternative holds: Either (i) the trivial stationary solution which vanishes everywhere is a unique stationary solution and is globally stable, or (ii) the trivial solution is unstable and there exists a unique positive stationary solution which is globally stable. A criterion for the existence of positive stationary solutions is stated in terms of three parameters included in the equation.
| 本文言語 | English |
|---|---|
| ページ（範囲） | 1-24 |
| ページ数 | 24 |
| ジャーナル | Journal of Mathematical Biology |
| 巻 | 16 |
| 号 | 1 |
| DOI | |
| 出版ステータス | Published - 1982 12月 |
| 外部発表 | はい |
ASJC Scopus subject areas
- 数学（その他）
- 農業および生物科学（その他）