| 脉冲控制的害虫综合防治模型及仿真 |
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| 引用本文： | 岳宗敏,刘海峰,蔺小林.脉冲控制的害虫综合防治模型及仿真[J].吉林大学学报(理学版),2012,50(2):183-190. |
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| 作者姓名： | 岳宗敏 刘海峰 蔺小林 |
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| 作者单位： | 陕西科技大学 理学院, 西安 710021 |
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| 基金项目： | 国家自然科学基金天元基金(批准号:A0524602);陕西省教育厅专项科研基金(批准号:2010JK423);陕西科技大学校内自选项目基金(批准号:ZX10-37) |
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| 摘 要： | 利用Floquet乘子理论、 小振幅扰动技巧和比较定理研究一类定期脉冲释放病毒颗粒和自然天敌的害虫综合治理模型在脉冲控制策略下系统解的稳定性, 给出了在脉冲控制下这类系统解的全局渐近稳定性及系统持续生存的充分条件. 数值仿真验证了推理结果.
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| 关 键 词： | 脉冲 全局渐近稳定 一致持久 |
| 收稿时间： | 2011-05-25 |
Impulse Control in Pest Management and Computer Simulation |
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| YUE Zong-min,LIU Hai-feng,LIN Xiao-lin.Impulse Control in Pest Management and Computer Simulation[J].Journal of Jilin University: Sci Ed,2012,50(2):183-190. |
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| Authors: | YUE Zong-min LIU Hai-feng LIN Xiao-lin |
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| Institution: | Faculty of Science, Shaanxi University of Science and Technology, Xi’an 710021, China |
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| Abstract: | The stability of a pest management viral infection syst em with impulsive releases of viral particles and natural enemies was researched by means of Floquet’s theorem,small-amplitude perturbation skills and compar ison theorem.The sufficient conditions of globally asymptotic stability of pest-eradication periodic solution and the permanence of the system controlled by t hat controller were obtained.Finally the mathematical findings were illustrated by numerical simulations. |
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| Keywords: | impulsive global stability uniform permanence |
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