基于广义Logistic模型的美国白蛾优化控制策略

Optimal control strategy of Hyphantria cunea based on generalized Logistic model

以细菌增长模型为基础,提出描述美国白蛾种群密度的广义Logistic模型,分析其平衡点的稳定性,讨论了对美国白蛾进行捕杀防治的优化控制问题和种群的动力学性质,并以可持续发展的最大捕获量为分析目标,提出线性捕获下的优化控制策略.

This paper is based on the bacterial growth model.A generalized Logistic model describing the population density of the Hyphantria cunea is proposed.The stability of the equilibria is analyzed,and the optimal control of precautions for Hyphantria cunea is discussed.The dynamic properties of the population of Hyphantria cunea are analyzed.The objective of analysis is the maximum catch for sustainable development.Finally,the optimal control strategy under linear capture is formulated.