一类具有时滞的云杉蚜虫种群模型的Hopf分岔分析
摘要
The dynamic behavior of a population model with stage structure for spruce budworms with time delay was investigated. Firstly, existence of a unique positive equilibrium of the model was discussed and sufficient conditions for local stability of the positive equilibrium and Hopf bifurcation occurrence were obtained. Next, the direction of the Hopf bifurcation and the stability of the periodic bifurcation solutions were analyzed with the normal form method combined with the center manifold theorem. Finally, some numerical simulations to verify the theoretical results were also conducted. The work provides an applicable reference for control of spruce budworms.
引用本文（GB/T 7714）
曹建智，谭军，王培光, CAO Jianzhi, TAN Jun, 等. 一类具有时滞的云杉蚜虫种群模型的Hopf分岔分析[J]. 应用数学和力学, 2019.
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