一类森林害虫物理防控的数学模型  

A Mathematical Model for Physical Control of Forest Pests

作　　者：梁志清[1,2] LIANG Zhiqing(College of Mathematics and Statistics Key Lab of Complex System Optimization and Large Data Processing, Yulin Normal University, Yulin 537000, China)

机构地区：[1]玉林师范学院数学与统计学院,广西玉林537000 [2]玉林师范学院复杂系统优化与大数据处理重点实验室,广西玉林537000

出　　处：《新乡学院学报》2017年第3期1-5,共5页Journal of Xinxiang University

基　　金：国家自然科学基金项目(61364020)

摘　　要：构建了一类具有状态脉冲控制的单种群系统,利用分析方法得到该系统在有限时间内存在的周期解和脉冲控制的次数,并说明了该系统周期解的周期与参数之间的关系。提出了灯光诱杀与水枪喷杀手段结合的森林害虫防控策略。In this paper, a kind of single species system with state impulsive control was constructed. The existence of period solution and frequency of pulse control within the finite time were obtained by analysis method. The relationship between periodic solution and the parameters of the system was showed by numerical simulation. The strategy of forest pest prevention and control was proposed,which combined light trapping and water-gun spraying.

关 键 词：LOGISTIC模型 状态脉冲控制 周期解 灯光诱杀 水枪喷杀 

分 类 号：O175[理学—数学]