| 具有经济阈值的植物疾病模型 |
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| 引用本文： | 赵婷婷,唐三一.具有经济阈值的植物疾病模型[J].生物数学学报,2009(3):385-396. |
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| 作者姓名： | 赵婷婷 唐三一 |
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| 作者单位： | 陕西师范大学数学与信息科学学院; |
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| 基金项目： | supported by the National Natural Science Foundation of China (NSFC,10871122); the Project-sponsored by SRF for ROCS,SEM |
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| 摘 要： | 研究了具有经济阈值和人文控制策略的植物疾病模型．根据某一参数的三种情况分析了唯一的正的周期解的存在性，并利用定性理论给出了在该参数某种范围下周期解全局稳定的充分条件，同时得到在其它两种情况下周期解的不稳定性．文章所得结论推广了综合疾病管理中植物疾病模型的经典结论．
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| 关 键 词： | 植物疾病 人文控制 经济闽值 IDM |
Plant Disease Control with Economic Threshold |
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| ZHAO Ting-ting TANG San-yi.Plant Disease Control with Economic Threshold[J].Journal of Biomathematics,2009(3):385-396. |
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| Authors: | ZHAO Ting-ting TANG San-yi |
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| Institution: | ZHAO Ting-ting TANG San-yi~* (College of Mathematics and Information Science,Shaanxi Normal University,Xi'an Shanxi 710062 China) |
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| Abstract: | In this paper,the plant disease model including impulsive cultural control strategy(such as roguing and replanting interventions) and Economic Threshold (ET) on the infected plants is analyzed.We examine the existence of the unique positive periodic solution in terms of three cases of a certain parameter space.Then the stability of the periodic solution in three situations is investigated.By using qualitative methods,we prove that the periodic solution in one situation is globally asymptotically stable unde... |
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| Keywords: | Plant disease Cultural control Economic Threshold IDM |
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