| 周期脉冲投放病毒的随机害虫治理模型 |
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| 引用本文： | 刘俊楠,魏春金,张树文.周期脉冲投放病毒的随机害虫治理模型[J].集美大学学报(自然科学版),2016,0(5):388-393. |
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| 作者姓名： | 刘俊楠 魏春金 张树文 |
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| 作者单位： | (集美大学理学院,福建 厦门 361021) |
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| 摘 要： | 研究了一类周期脉冲投放病毒的随机害虫治理模型，证明了系统的均值有界性，给出了害虫灭绝周期解以及害虫非平均持续生存的充分条件。由理论结果和数值模拟表明，当噪声强度较大时,会导致害虫迅速灭绝;而当噪声强度微弱时,害虫减少的速度减缓,并会持续生存。
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| 关 键 词： | 害虫治理 脉冲 随机扰动 全局吸引 均值有界 |
A Pest Management Model with Recurrent Pulse-Virus Input and Random Perturbations |
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| LIU Jun-nan,WEI Chun-jin,ZHANG Shu-wen.A Pest Management Model with Recurrent Pulse-Virus Input and Random Perturbations[J].the Editorial Board of Jimei University(Natural Science),2016,0(5):388-393. |
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| Authors: | LIU Jun-nan WEI Chun-jin ZHANG Shu-wen |
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| Institution: | (School of Science,Jimei University,Xiamen 361021,China) |
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| Abstract: | A pest management model with recurrent pulse virus input and random perturbation was studied.Firstly,the mean boundedness of the system was proved.Then,the suffcient conditions for the periodic solution of insects extinction and non persistence in the mean were obtained.Finally,the theoretical results and numerical simulations showed that the noise intensity was large enough,would lead to rapid extenction of pests,while the intensity of the noise was weak,the pests would slow down,and would continue to live. |
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| Keywords: | pest management pulse random perturbation global appeal mean boundedness |
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