| 不育和灭杀控制下季节性繁殖害鼠的种群动态 |
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| 引用本文： | 刘汉武,靳祯,张凤琴,李秋英.不育和灭杀控制下季节性繁殖害鼠的种群动态[J].山西大学学报(自然科学版),2012(3):465-471. |
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| 作者姓名： | 刘汉武 靳祯 张凤琴 李秋英 |
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| 作者单位： | 中北大学机电工程学院;中北大学理学院;运城学院应用数学系 |
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| 基金项目： | 国家自然科学基金(11071283);山西省自然科学基金(2009011005-3);山西省高等学校科技研究开发项目(20091149);运城学院院级科研项目(YQ-2010004) |
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| 摘 要： | 害鼠给人们带来很大的危害,人们可以利用杀鼠剂和不育剂对其进行控制.文中建立了分别在这两种控制下害鼠种群的动态模型,在模型中每隔固定时间施行某种控制,且害鼠的繁殖具有季节性.分析了模型的性态以及不育率、灭杀率、控制间隔等参数对种群发展的影响.最后得到了如下结论:如果只进行一种控制,不育控制的效果更好;在决定种群是灭绝还是持续存在方面,不育和灭杀的作用是相同的;两种控制具有各自的特点,联合施用,发挥各自的优势会达到较好的控制效果.
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| 关 键 词： | 不育控制 灭杀控制 季节性繁殖 数学模型 害鼠 |
Population Dynamics of the Seasonal Breeding for Rodent Pests under Lethal Control and Contraception Control |
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| LIU Han-wu,JIN Zhen,ZHANG Feng-qin,LI Qiu-ying.Population Dynamics of the Seasonal Breeding for Rodent Pests under Lethal Control and Contraception Control[J].Journal of Shanxi University (Natural Science Edition),2012(3):465-471. |
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| Authors: | LIU Han-wu JIN Zhen ZHANG Feng-qin LI Qiu-ying |
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| Institution: | 1.College of Electromechanical Engineering,North University of China,Taiyuan 030051,China; 2.College of Science,North University of China,Taiyuan 030051,China; 3.Department of Applied Mathematics,Yuncheng University,Yuncheng 044000,China) |
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| Abstract: | Rodent pests bring great damage to human,the rodenticide and sterilant are used to control them.The dynamics models of rodent pests population are introduced in which the rodent pest population breeds seasonally and withstands lethal control or contraception control.The model behavior and effects of contraception rate,removal rate,control interval etc on population dynamics are analyzed.The results indicated that if only one control was implemented the contraception control has better effect.The contraception control and lethal control possess the same effect on whether population dies out.These two controls possess distinguishing feature,combined using of them bears better integrative result. |
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| Keywords: | contraception control lethal control seasonal breeding mathematical model rodent pests |
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