Controlling forest diseases and insect pests is beneficial to increase forest carbon sink.It is of great significance to realize China's"double carbon"strategy.In order to study the impact of forest diseases and insect pests on the forest,the authors establish a delayed differential equation model of forest diseases and insect pests infection with saturation incidence,study the existence and stability of the equilibrium and the existence of Hopf bifurcation near the equilibrium.At the same time,the authors use the multiple time scales method to derive the normal form of the system near the critical point of Hopf bifurcation.Based on the data such as the forest inventory report of China,we analyze and predict the parameters of the model,obtain the range of the parameters,select reasonable parameters for numerical simulation,and study the influence of the changes of some parameters.Finally,according to the simulation results,we provide some relevant conclusions and suggestions based on the current situation of forest disease and insect pest prevention and control in forest areas of Heilongjiang Province.
关键词
森林病虫害/时滞微分方程/稳定性/Hopf分支/多尺度方法/规范型
Key words
forest diseases and insect pests/delayed differential equation/stability/Hopf bifurcation/multiple time scales method/normal form
维普
万方数据