| 具有饱和竞争项的捕食系统的二重分歧解及稳定性 |
| |
| 引用本文： | 冯孝周,聂华.具有饱和竞争项的捕食系统的二重分歧解及稳定性[J].山东大学学报(理学版),2012,47(5):103-107,114. |
| |
| 作者姓名： | 冯孝周 聂华 |
| |
| 作者单位： | 1. 西安工业大学理学院,陕西西安710032／陕西师范大学数科院,陕西西安710062
2. 陕西师范大学数科院,陕西西安,710062 |
| |
| 基金项目： | 国家自然科学基金资助项目(10726042);西安工业大学校长基金资助项目(XAGDXJJ1136);陕西省教育厅科学基础研究计划项目(09JK480) |
| |
| 摘 要： | 利用Lyapunov-Schmidt过程研究了一类具有饱和竞争项的捕食系统发自二重特征值处的分歧解的存在惟一性,并且判定了这些分歧解的渐近稳定性。
|
| 关 键 词： | 捕食系统 分歧解 渐近稳定性 |
Bifurcation solutions and stability of a predator-prey system with predator saturation and competition |
| |
| FENG Xiao-zhou,NIE Hua.Bifurcation solutions and stability of a predator-prey system with predator saturation and competition[J].Journal of Shandong University,2012,47(5):103-107,114. |
| |
| Authors: | FENG Xiao-zhou NIE Hua |
| |
| Institution: | 1.College of Science,Xi’an Technological University,Xi’an 710032,Shaanxi,China; 2.College of Mathematics and Information Science,Shaanxi Normal University,Xi’an 710062,Shaanxi,China) |
| |
| Abstract: | A predator-prey system with predator saturation and competition is investigated.The uniqueness,existence and stability of bifurcation solution which bifurcates from double multiplicity eigenvalue are obtained by using the Lyapunov-Schmidt procedure. |
| |
| Keywords: | predator-prey system bifurcation solutions asymptotical stability |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
