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一类植物病虫害模型及数值模拟
A Class of Plant Diseases and Insect Pests Model and Its Numerical Simulation
【摘要】 通过考虑某一区域内的植物在喷洒杀虫剂之后分成的三种类别,建立了一个植物病虫害模型.然后给出它的正平衡点,又利用稳定性第一近似方法讨论正平衡点的稳定性.最后,结合千岛湖发生的松毛虫害使用MATLAB进行数据模拟,多角度比较不同的移除系数和树木间的有效接触率分析其对虫害发展的影响,对病虫害的治理具有较好的指导作用.
【Abstract】 In this paper, a model of plant diseases and insect pests was established by taking into account the three types of plants in a certain area. Then, the positive equilibrium point is given, and the stability of the positive equilibrium point is discussed by the first approximate method. Finally, we use MATLAB to make a data simulation combining with the Dendrolimus punctatus damage in Qiandao Lake. We get the impact of the development of pest by comparing different removal factor and different effective contact rate. Then the pest control has better guidance.
【Key words】 insect pests; positive equilibrium points; stability; numerical simulation;
- 【文献出处】 数学的实践与认识 ,Mathematics in Practice and Theory , 编辑部邮箱 ,2017年17期
- 【分类号】O175
- 【下载频次】88