Dynamical behaviour of periodic impulsive chemical control model with periodically switching pesticides
Pest resistance to pesticides, as one of the side effects associated with the use of chemicals, has received great attention in recent years. To address the effects of pesticide resistance on the dynamical behaviour of pest population in the chemical control, in this paper, we propose a periodic impulsive chemical control model with pesticide resistance and periodically switching the pesticide used, analyze the dynamical behaviour of the model by using the theory of impulsive differential equations, and then the threshold value 0 R which determines the dynamic behaviour of the model is provided. Furthermore, the effects of parameters on 0 R are studied by analytical and numerical methods and some useful criterions are obtained for the chemical control.
Pesticide resistance Impulsive differential equation Switching pesticides Threshold condition
Fangfang Zhang Sanyi Tang
College of Mathematics and Information Science,Shaanxi Normal University,Shannxi, 710062 China.
国际会议
The 5th International Congress on Mathematical Biology(第五届国际生物数学大会 ICMB 2011)
南京
英文
1103-1109
2011-06-01（万方平台首次上网日期，不代表论文的发表时间）