摘要
通过建立具有季节变化和综合脉冲控制效应的非自治捕食与被捕食模型,我们得到了保证害虫根除的临界条件,即得到了保证害虫根除周期解全局稳定的充分条件.进而我们讨论了季节性变化以及最优的害虫控制策略实施时间对临界条件的影响.结论显示当害虫种群数量具有季节波动时,系统存在使得临界值达到最小的最优控制策略实施时间.
The threshold value R0, which determines the dynamical behaviour of a model of a non-autonomous predator-prey system with impulsive effects, was obtained and we show that if R0 〈 1 the pest-free periodic solution is globally stable. The effects of seasonality and the optimum timing of integrated pest management interventions on tile threshold value R0 are also addressed. Our numerical results indicate that there are some optimum timings for applications of IPM strategies when the pest population exists with seasonal fluctuations.
出处
《生物数学学报》
CSCD
2012年第1期1-10,共10页
Journal of Biomathematics
关键词
季节性
捕食与被捕食
综合控制
临界条件
Seasonality
Prey-Predator system
Integrated contral tacticThreshold condition