资源充足条件下的害虫防控策略的数学研究  

Mathematics Research on the Pests Control Strategies under Sufficient Resources

作　　者：黄军华[1] 梁志清[1] 张叶[1] 

机构地区：[1]玉林师范学院数学与统计学院,广西玉林537000

出　　处：《玉林师范学院学报》2016年第5期21-28,共8页Journal of Yulin Normal University

基　　金：广西红树林害虫综合防控数学模型研究(No.61364020)

摘　　要：构建一类资源充足条件下具有脉冲反馈控制的害虫防控数学模型.首先,通过数学分析及类Poincare准则对模型进行研究,获得脉冲系统阶1周期解存在唯一性及轨道渐近稳定性的充分条件.其次,数值模拟验证主要结论.最后,给出在资源充足条件下的水枪脉冲喷杀和生物防治组合的害虫防控策略.A kind of mathematics model with impulsive state control is constructed. Firstly, the model is studied by mathematical analysis and Poincare criterion, and some sufficient conditions of the existence and orbital asymptotically stability of order 1 periodic solution are obtained. Secondly, the mathematical results are verified by the numerical simulations. Finally, the strategies of the pest prevention and control are proposed, which combine light trapping and biological control.

关 键 词：数学模型 阶1周期解 害虫防控 水枪喷杀 脉冲反馈控制 

分 类 号：O175[理学—数学]