| Stabilization to a positive equilibrium for some reaction-diffusion systems | |
|---|---|
| 學年 | 110 |
| 學期 | 1 |
| 出版（發表）日期 | 2021-12-01 |
| 作品名稱 | Stabilization to a positive equilibrium for some reaction-diffusion systems |
| 作品名稱（其他語言） | |
| 著者 | Jong-Shenq Guo; Masahiko Shimojo |
| 單位 | |
| 出版者 | |
| 著錄名稱、卷期、頁數 | Nonlinear Analysis: Real World Applications 62, 103378 |
| 摘要 | The aim of this paper is to study the asymptotic behavior of solutions for some reaction–diffusion systems in biology. First, we establish a Liouville type theorem for entire solutions of these reaction–diffusion systems. Based on this theorem, we derive the stabilization of the solutions of the reaction–diffusion system to the unique positive constant state, under the condition that this positive constant state is globally stable in the corresponding kinetic systems. Two specific examples about spreading phenomena from ecology and epidemiology are given to illustrate the application of this theory. |
| 關鍵字 | Stabilization;Equilibrium;Reaction–diffusion system;Entire solution;Lyapunov functional |
| 語言 | en_US |
| ISSN | 1878-5719 |
| 期刊性質 | 國外 |
| 收錄於 | SCI Scopus |
| 產學合作 | |
| 通訊作者 | |
| 審稿制度 | 是 |
| 國別 | GBR |
| 公開徵稿 | |
| 出版型式 | ,電子版,紙本 |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/122351 ) |
| SDGS | 陸域生命 |
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