中文摘要：

考虑到自然界害虫种群的出生率、死亡率以及人类对害虫的控制都是呈周期性变化的情况,建立了一类化学控制和生物控制相结合的非自治害虫治理模型.将杀虫剂作用函数看成是分段连续的指数函数,并将杀虫剂残留效应引入到害虫控制模型,给出了害虫灭绝周期解全局渐近稳定的充分条件.

英文摘要：

Considering that the birth rate and mortality rate of the pest population and the human control for the pest keep aperiodic variation,a non-autonomous pest control model combined with chemical control and biological control was established.Further,regarding the pesticide function as a piecewise-continuous exponential functions,the residual effects of pesticides have been introduced to the pest control model,and the sufficient condition of the global asymptotic stability for the pest-eradication periodic solution was given.