| 离散捕食系统的持久性和全局稳定性 |
| |
| 引用本文： | 王烈,陈斯养. 离散捕食系统的持久性和全局稳定性[J]. 计算机工程与应用, 2013, 0(21): 11-14,23 |
| |
| 作者姓名： | 王烈 陈斯养 |
| |
| 作者单位： | 陕西师范大学 数学与信息科学学院,西安,710062 |
| |
| 基金项目： | 国家自然科学基金(No.11171199，No.61273311)；中央高校基本科研业务费专项资金(No.GK201302006)。 |
| |
| 摘 要： | 研究一类带有Beddington．DeAngelis功能性反应和时滞的多维离散食饵．捕食系统的持久性和全局稳定性。利用差分方程的比较原理，给出了系统持久性的充分条件；应用估值方法推导得到系统全局稳定性的充分条件；使用不动点理论，证明了系统周期解的存在性和全局稳定性。
|
| 关 键 词： | 离散捕食系统 Beddington—DeAngelis功能反应 时滞 持久性 全局稳定性 |
Permanence and global stability of predator-prey discrete system with Beddington-DeAngelis functional response and time delays |
| |
| WANG Lie , CHEN Siyang. Permanence and global stability of predator-prey discrete system with Beddington-DeAngelis functional response and time delays[J]. Computer Engineering and Applications, 2013, 0(21): 11-14,23 |
| |
| Authors: | WANG Lie CHEN Siyang |
| |
| Affiliation: | ( College of Mathematic and Information Science, Shaanxi Normal University, Xi＇an 710062, China) |
| |
| Abstract: | The permanence and global stability of a non-autonomous predator-prey discrete model, which is consisted by n preys and rn predators, with Beddington-DeAngelis fimctional response and time delays are investigated. Using the comparison principle of the difference equations, the sufficient condition that the discrete system is permanent is acquired directly. The sufficient conditions which ensure the global stability of the discrete system are obtained through the valuation methods. For periodic case, the sufficient conditions are established for the existence and the global stability of positive periodic solutions by the fixed point principle. |
| |
| Keywords: | predator-prey discrete system Beddington-DeAngelis functional response time delay permanence global stability |
| 本文献已被 维普 万方数据 等数据库收录！ |
