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| 一类带B-D反应项的食物链模型正解的稳定性和惟一性 | |
| 引用本文： | 李海侠,李艳玲.一类带B-D反应项的食物链模型正解的稳定性和惟一性[J].山东大学学报(理学版),2013,48(9):103-110. |
| 作者姓名： | 李海侠 李艳玲 |
| 作者单位： | 1. 陕西师范大学数学与信息科学学院, 陕西 西安 710062; 2. 宝鸡文理学院数学系, 陕西 宝鸡 721013 |
| 基金项目： | 国家自然科学基金资助项目(10971124);陕西省科技之星资助项目(2011kjxx12);陕西省教育厅科研计划资助项目(12JK0856);中央高校基本科研业务费专项资金资助(GK2013 02025) |
| 摘 要： | 研究了一类带Beddington-DeAngelis反应项的食物链模型正解的稳定性和惟一性。 给出了正解的先验估计以及正解存在的充分和必要条件, 并讨论了正解稳定性和惟一性的充分条件。最后运用数值模拟对理论分析进行了验证和补充。 |
| 关 键 词： | 食物链模型 Beddington-DeAngelis反应函数 稳定性 惟一性 数值模拟 |
| 收稿时间： | 2013-03-07 |
Stability and uniqueness of positive solutions for a food chain model with B-D functional response |
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| LI Hai-xia,LI Yan-ling.Stability and uniqueness of positive solutions for a food chain model with B-D functional response[J].Journal of Shandong University,2013,48(9):103-110. | |
| Authors: | LI Hai-xia LI Yan-ling |
| Institution: | 1. College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, Shaanxi, China; 2. Department of Mathematics, Baoji University of Arts and Sciences, Baoji 721013, Shaanxi, China |
| Abstract: | Stability and uniqueness of positive solutions for a food chain model with Beddington-DeAngelis functional response are discussed. The a prior estimates and the sufficient and necessary conditions for the existence of positive solutions are obtained. In addition, the sufficient conditions for the stability and uniqueness of positive solutions are investigated. Finally, we make some numerical simulations to verify and complement the theoretical analysis. |
| Keywords: | food chain model Beddington-DeAngelis functional response stability uniqueness numerical simulations |
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