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.
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.
出处
《信阳师范学院学报（自然科学版）》
CAS
北大核心
2017年第1期17-21,共5页
Journal of Xinyang Normal University(Natural Science Edition)
基金
国家自然科学基金项目(Z11371048)
北京市委组织部优秀人才培养项目(2012D005017000003)
北京建筑大学优秀主讲教师培育计划项目(2016-张蒙)
关键词
松材线虫
松褐天牛
时滞
HOPF分支
pine wilt
monochamus alternatus
time delay
Hopf bifurcation
