| 一类禽流感模型的全局稳定性 |
| |
| 引用本文： | 陈永雪.一类禽流感模型的全局稳定性[J].数学的实践与认识,2012,42(3):119-125. |
| |
| 作者姓名： | 陈永雪 |
| |
| 作者单位： | 福建农林大学计算机与信息学院,福建福州,350002 |
| |
| 摘 要： | 在饲养业中不可避免着人类行为的干涉,基于饲养业实际研究了一类染病者即刻被隔离的SEQS模型,其中常数输入是必须的且输入者中必含潜伏期者.利用三维空间的Bendixson-Dulac定理证明系统不存在周期解,从而唯一的正平衡点一旦存在即是全局稳定的.
|
| 关 键 词： | 平衡点 Jacobian矩阵 广义Bendixson判据 稳定性 |
Global Stability of an Avian Influenza Model |
| |
| CHEN Yong-xue.Global Stability of an Avian Influenza Model[J].Mathematics in Practice and Theory,2012,42(3):119-125. |
| |
| Authors: | CHEN Yong-xue |
| |
| Institution: | CHEN Yong-xue (College of Computer and Information,Fujian Agriculture and Forestry University,Fuzhou 350002,China) |
| |
| Abstract: | In poultry feedlot,we must keep in mind that there exists intervention of human. Basing on the reality of husbandry,a SEQS epidemic model was constructed and studied. Where the infected patients are isolated immediately.It is necessary to consider the constant immigration,and there exists latent period individuals in immigrant.By the general Bendixson-Dulac theorem,we proved that periodic solutions of the system do not exist,then the unique positive equilibrium point is globally stable. |
| |
| Keywords: | equilibrium Jacobian matrix general Bendixson criterion stability |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
