害虫种群突变模型的bang-bang控制

Bang-Bang Control of the Mutation Model of Insect Pest Populations

本文基于害虫种群的尖点突变模型,结合经济学原理,建立相应的最优捕获模型.根据bang-bang控制理论,设计控制器使害虫种群密度保持在不危害作物种群正常生长的水平,且捕获成本最小.最后利用Matlab软件进行数值仿真,以验证结论的正确性.

In this paper,based on the cusp catastrophe model of pest population,the optimal acquisition model is established by combining the economic theory.According to the bang-bang control theory,the designed controller keeps the pest population density at the level that does not harm the normal growth of the plant population,and the cost is the lowest.At last,the numerical simulation is carried out by using Matlab software to verify the correctness of the conclusion.