摘要
研究一类食饵(害虫)具有阶段结构并带有流行病、捕食者(天敌)具脉冲放养和时滞的捕食-食饵模型,得到了害虫灭绝周期解全局吸引的充分条件,以及当脉冲周期在一定范围内,易感害虫种群的密度可以控制在经济危害水平E(EIL)之下.所得结论将为现实的害虫管理提供一定的理论依据,数值分析也进一步说明系统的动力学性质.
A pest epidemic model with stage structure predator-prey is considered and impulsive release on natural enemy. The sufficient conditions for the global attractivity of pestextinction periodic solution are obtained. Furthermore, it is obtained that the pest population can be controlled under the economic injury level E(Ell) if the impulsive period is within an appropriate range. Our results are helpful for the practical pest management. Numerical analysis is inserted to illuminate the dynamics of the system.
出处
《数学的实践与认识》
CSCD
北大核心
2009年第15期141-148,共8页
Mathematics in Practice and Theory
基金
国家自然科学基金(10861003)
广西自然科学基金项目(0832018Z
0899017
200808MS079)
广西高等教育教改工程"十一五"精品课程改革与建设项目(2006072)
钦州学院重点科研项目(2008XJKY-03A)
关键词
脉冲
时滞
阶段结构
害虫管理
全局吸引
impulsive
time delay
stage-structured
global attractivity
pest management