A Pest Management Model with Stage Structure and Impulsive State Feedback Control

الملخص EN

A pest management model with stage structureand impulsive state feedback control is investigated.

We get thesufficient condition for the existence of the order-1 periodicsolution by differential equation geometry theory and successorfunction.

Further, we obtain a new judgement method for thestability of the order-1 periodic solution of the semicontinuoussystems by referencing the stability analysis for limit cycles ofcontinuous systems, which is different from the previous method ofanalog of Poincarè criterion.

Finally, we analyze numericallythe theoretical results obtained.