具有阶段结构及脉冲控制的害虫管理模型

A pest management model with stage structure and impulsive control

研究一类具有阶段结构、时滞及脉冲控制的害虫管理模型,利用时滞微分方程和脉冲微分方程中相关的理论与方法,得到系统害虫灭绝周期解全局吸引及系统一致持续的充分条件,并通过数值模拟验证了结论.

A pest management model with stage structure and time delay and impulsive control is investigated. Using the corresponding theories and methods of delayed differential equations and impulsive differential equations, sufficient conditions are obtained, which guarantee the global attractivity of the pest - eradication periodic solution and permanence of the system. Numerical simulations are carried out to illustrate the main results.