摘要
采用确定性常微分方程和脉冲微分方程研究害虫控制策略的有效性,特别是控制策略的阈值问题得到了非常好的研究.但是种群的增长不可避免的受到各种随机因素的干扰,在具有随机扰动下如何研究害虫控制策略的阈值是一个非常有意义的问题.本文在给出固定控制成本的条件下,考虑害虫密度的随机Malthus增长,结合理论和数值分析方法,研究害虫控制的阈值存在性问题.进而分析害虫数量随机波动以及其它关键参数变化对害虫控制的影响,并解释相应的生物学结论.
The research of pest control problems based on ODE and IDE, especially the problem of pest threshold have had great development. But it is inevitable to be affected by various stochastic factors in the process of pest growth. It is significant to study the threshold problem of pest control under stochastic factors＇ influence.Given fixed control costs,this paper researches the existence of pest control threshold by employing theoretical and numerical methods when the density of a pest population varies randomly. A sensitivity analysis shows the influence to the pest control with the pest density and other critical parameters volatility. This result can explain the relevant biological conclusion.
出处
《生物数学学报》
2016年第1期83-92,共10页
Journal of Biomathematics
