Dynamic analysis of a Drosicha corpulenta integrated management model
Drosicha corpulenta is distributed in most areas of our country.It causes tree weakness,even branches dying,and affects yield by sucking tree SAP.In this paper,a predator-prey model with shelter effect and additional food source is established based on the relationship analysis between the Drosicha corpulenta and the Rodolia rufopilosaMuls.The existence and stability of equilibria and the limit cycle are analyzed.Secondly,from the point of view of controlling the spread of the Drosicha corpulenta,an integrated man-agement model based on state-feedback is established.The existence of the order-1 periodic solution of the system is proved by the method of successor function,and the asymptotic stability condition of the order-1 periodic solution is given by means of Analogue Poincar? criterion.Finally,the main results are verified by MATLAB simulations.The research in this paper provides a new idea and method for integrated management of Drosicha corpulenta.
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