| 一类具有时滞的松材线虫非线性传播模型的稳定性分析和Hopf分支 |
| |
| 作者单位： | ;1.北京建筑大学理学院;2.信阳师范学院数学与统计学院 |
| |
| 摘 要： | 建立带有松褐天牛羽化时滞的微分方程模型,研究松褐天牛的羽化时间对松材线虫病在松树间传播的影响,得到了平衡状态稳定时滞的临界条件和Hopf分支.最后用Matlab对模型进行了数值模拟以验证数学结果.
|
| 关 键 词： | 松材线虫 松褐天牛 时滞 Hopf分支 |
Stability Analysis and Hopf Bifurcation of the Nonlinear Model for Pine Wilt Disease with Time Delay |
| |
| Affiliation: | ,School of Science,Beijing University of Civil Engineering and Architecture,College of Mathematics and Statistics,Xinyang Normal University |
| |
| Abstract: | An ordinary differential equation model with the influence of monochamus alternatus' hatch delay was established to study the effects of the hatch time on the transmission of pine wilt disease and the stability of the equilibriam,the threshold value of keeping the stability of equilibrium and Hopf bifurcation was found.Finally,the simulation result with Matlab program were given to verify the mathematical results. |
| |
| Keywords: | pine wilt monochamus alternatus time delay Hopf bifurcation |
| 本文献已被 CNKI 等数据库收录！ |
