| 摘要: |
| 【目的】利用蝴蝶突变模型的性质分析害虫种群数量发生突变的条件和机理。【方法】在已有的害虫种群动态模型基础上添加农药影响因素，建立受天敌、气象环境因素、农药及植被状况影响的害虫种群动态蝴蝶突变模型,并对蝴蝶突变分歧点集所分各个控制区域的系统势函数和平衡点情况进行分析。【结果】建立了害虫种群动态的蝴蝶突变模型，并利用蝴蝶突变的性质描述了害虫种群数量变化中的突跳和滞后等现象，解释了害虫种群动态的蝴蝶突变特征。【结论】害虫种群动态蝴蝶突变模型可用于解释昆虫种群动态的蝴蝶突变特征。 |
| 关键词: 突变理论 害虫 种群动态 蝴蝶突变模型 分歧点集 |
| DOI： |
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| 基金项目:国家自然科学基金项目(39970112，30470268)；中德农业合作项目（2006/2007(04)） |
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| Population dynamics of insect pests of butterfly catastrophe model and analysis |
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LI Zhen,ZHAO Huiyan,LIU Guangzu
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Northwest A&F University
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| Abstract: |
| 【Objective】The study was to analyze the conditions and mechanisms of quantity catastrophe in the pest population by using butterfly catastrophe model.【Method】The pest population dynamic butterfly mutation model affected by the predators,environment,weather,pesticides and vegetation was constructed by adding the factor of pesticide on the basis of the pest population dynamic model,then the equilibrium points and system potential functions of each control space generated by the bifurcation set of the swallowtail catastrophe were studied.【Result】The population dynamics of insect of butterfly catastrophe model was established,phenomena such as size eruption and dynamic lag was described by using butterfly catastrophe theory,and the pest population dynamics of butterfly mutation characteristics was explained.Ideas and methods of pest control were provided.【Conclusion】The established pest populations dynamic model can explain the insects of the population dynamics of butterfly catastrophe characteristics. |
| Key words: catastrophe theory insect pests population dynamic butterfly catastrophe model bifurcation set |
