具有非线性感染率和生物化学控制的害虫管理模型  

Nonlinear incidence rate of a pest management model with biological and chemical control concern

作　　者：岳宗敏[1] 白云宵[1] 郭改慧[1] 

机构地区：[1]陕西科技大学理学院,陕西西安710021

出　　处：《陕西科技大学学报（自然科学版）》2013年第1期155-159,共5页Journal of Shaanxi University of Science & Technology

基　　金：陕西省科技厅自然科学基金项目(2011JQ1015);陕西科技大学校级自选科研项目(ZX10-37);榆林产学研科技合作项目(2011)

摘　　要：讨论了具有非线性传染率并在两个不同时刻分别脉冲释放病虫和喷洒农药的害虫管理模型,证明了害虫灭绝解的全局渐近稳定性,并进一步得到了解持续生存的条件,最后给出了结论.其中所使用的控制方法为实际的害虫管理提供了可靠的理论依据.A model with impulsive releases of infective pests and spraying pesticides at differ- ent moments for pest management is described and investigated in this paper. The globally asymptotic stability periodic solution of pest-extinction for this model is proved. Further- more, the sufficient condition for permanence of the system is obtained. Finally, some con- clusions are showed. The approach of combining impulsive releasing infective pests with im- pulsive spraying pesticides provides reliable tactical basis for the practical pest management.

关 键 词：脉冲 害虫灭绝解 全局渐进稳定 一致持久 

分 类 号：O175.1[理学—数学]