中文摘要：

为构建一类具有脉冲状态反馈控制的森林害虫防控模型,首先,对无脉冲系统进行数学分析,得到害虫种群灭绝及爆发的条件;其次,利用微分方程有关理论及类Poincare准则获得脉冲系统阶一周期解的存在性及轨道渐近稳定性,并数值模拟验证主要结论;最后,给出在资源充足条件下的灯光诱杀和水枪喷杀组合的害虫防控策略.

英文摘要：

In this paper,a kind of pest model with impulsive state control is constructed.Firstly,the conditions of extinction and outbreak of pests are obtained by a mathematical analysis of the impulse free systems.Next,by using the theory of differential equations and Poincare criterion,the existence and orbital asymptotically stability of order1 periodic for the pulse.system are obtained.The mathematical results are verified by the numerical simulations.Finally,pest prevention and control strategies under the condition of sufficient resources by a combination of light trapping and water spraying are proposed.