| 具有脉冲生育和脉冲收获的时滞SEI害虫治理模型的动力学分析 |
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| 引用本文： | 晏梅,龙丹,向中义. 具有脉冲生育和脉冲收获的时滞SEI害虫治理模型的动力学分析[J]. 生物数学学报, 2012, 0(1): 99-108 |
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| 作者姓名： | 晏梅 龙丹 向中义 |
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| 作者单位： | 湖北民族学院数学系;生物资源保护与利用湖北省重点实验室 |
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| 基金项目： | 生物资源保护与利用湖北省重点实验室项目(PKLHB1107);湖北省中青年人才项目(Q20101903) |
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| 摘 要： | 根据控制害虫的生物策略,考虑了一个不同时刻害虫具有脉冲生育和对害虫进行脉冲收获的时滞的SEI害虫治理模型.我们证明了系统所有的解都是一致有界的,同时获得了无病周期解是全局吸引的充分条件.进一步,得到了具有时滞的系统持续生存的充分条件.基于研究所得到的结果,作者提出了害虫治理的一些合理建议.
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| 关 键 词： | SEI模型 时滞 脉冲生育 脉冲收获 绝灭和持续生存 |
Dynamical Analysis of A Delayed Pest Management SEI System with Birth Pulse and Impulsive Harvesting at Different Moments |
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| YAN Mei,LONG Dan,XIANG Zhong-yi. Dynamical Analysis of A Delayed Pest Management SEI System with Birth Pulse and Impulsive Harvesting at Different Moments[J]. Journal of Biomathematics, 2012, 0(1): 99-108 |
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| Authors: | YAN Mei LONG Dan XIANG Zhong-yi |
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| Affiliation: | 1,2) (1 Key Laboratory of Biologic Resources Protection and Utilization of Hubei Province;Enshi Hubei 445000 China) (2 Department of Mathematics,Hubei University for Nationalities,Enshi Hubei 445000 China) |
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| Abstract: | According to biological strategy for pest control,a delayed pest management SEI model with birth pulse and impulsive harvesting at different moments has been taken into consideration. It has been proved that all solutions of the system are uniformly ultimately bounded and get the conditions of the globally attractive infection-free boundary periodic solution of the system.Further,sufficient condition with time delay for the permanence of the system has been obtained.Based on the results of the study,the authors put forward some reasonable suggestions for pest management. |
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| Keywords: | SEI model Time delay Birth pulse Impulsive harvesting Extinction and permanence |
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