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张蒙, 师向云. 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[J]. 信阳师范学院学报(自然科学版), 2017, 30(1): 17-21. DOI: 10.3969/j.issn.1003-0972.2017.01.005
引用本文: 张蒙, 师向云. 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[J]. 信阳师范学院学报(自然科学版), 2017, 30(1): 17-21. DOI: 10.3969/j.issn.1003-0972.2017.01.005
shu
ZHANG Meng, SHI Xiangyun. Stability Analysis and Hopf Bifurcation of the Nonlinear Model for Pine Wilt Disease with Time Delay[J]. Journal of Xinyang Normal University (Natural Science Edition), 2017, 30(1): 17-21. DOI: 10.3969/j.issn.1003-0972.2017.01.005
Citation: ZHANG Meng, SHI Xiangyun. Stability Analysis and Hopf Bifurcation of the Nonlinear Model for Pine Wilt Disease with Time Delay[J]. Journal of Xinyang Normal University (Natural Science Edition), 2017, 30(1): 17-21. DOI: 10.3969/j.issn.1003-0972.2017.01.005
shu

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

Stability Analysis and Hopf Bifurcation of the Nonlinear Model for Pine Wilt Disease with Time Delay

    摘要
  • 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.

     

    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.

     

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