【摘要】：本文主要利用脈沖微分方程比較定理和Floquet引理對周期環(huán)境下害蟲綜合治理模型進(jìn)行定性分析,并對害蟲綜合治理策略在農(nóng)業(yè)生產(chǎn)中的應(yīng)用進(jìn)行深入研究。第一章介紹了基于害蟲綜合治理策略的害蟲-天敵系統(tǒng)的研究背景和研究現(xiàn)狀,提供論文中常用的基本概念以及重要引理等基礎(chǔ)知識,它們是后續(xù)章節(jié)討論的基礎(chǔ)。第二章研究了一類具有不同頻率脈沖控制的周期環(huán)境下的捕食系統(tǒng),利用Floquet引理和小擾動技巧,分別給出了不同策略下根除害蟲周期解的存在性與全局漸近穩(wěn)定的充分條件,通過數(shù)值模擬分析了系統(tǒng)參數(shù)對臨界值的影響。第三章研究了周期環(huán)境下具有抗性發(fā)展且噴灑農(nóng)藥和投放天敵具有不同頻率但周期相同的害蟲控制模型,利用脈沖微分方程相關(guān)理論對所建生物模型進(jìn)行定性分析,得到了系統(tǒng)害蟲根除周期解全局漸近穩(wěn)定的臨界值以及系統(tǒng)一致持續(xù)生存和永久持續(xù)生存的充分條件,數(shù)值模擬結(jié)果為實(shí)際生產(chǎn)提供理論依據(jù)。第四章在第三章的基礎(chǔ)上將更具有實(shí)際生產(chǎn)意義的Monod-Haldane型功能反應(yīng)函數(shù)引入到系統(tǒng)中,通過定性分析得到了系統(tǒng)害蟲根除周期解的穩(wěn)定性以及持久生存。最后,對本文的研究工作進(jìn)行總結(jié),展望了自己在害蟲綜合治理方面將進(jìn)一步研究的課題。
[Abstract]:In this paper, the comparison theorem of impulsive differential equation and Floquet Lemma are used to qualitatively analyze the integrated pest management model in periodic environment, and the application of integrated pest management strategy in agricultural production is deeply studied. The first chapter introduces the research background and present situation of the pest natural enemy system based on the integrated pest management strategy, and provides the basic concepts and important Lemma, which are the basis of the discussion in the following chapters. In chapter 2, we study a class of predator-prey systems with impulsive control at different frequencies. By using Floquet Lemma and small perturbation technique, we give sufficient conditions for the existence and global asymptotic stability of periodic solutions of pest eradication under different strategies. The influence of system parameters on critical value is analyzed by numerical simulation. In chapter 3, the pest control model with resistance development and different frequency of spraying pesticide and natural enemy is studied, and the biological model is analyzed qualitatively by using the theory of pulse differential equation. The critical value of the global asymptotic stability of the periodic solution of pest eradication and the sufficient conditions for the consistent and permanent survival of the system are obtained. The numerical simulation results provide a theoretical basis for practical production. In chapter 4, based on the third chapter, the Monod-Haldane type functional response function is introduced into the system, and the stability and persistence of the periodic solution of pest eradication are obtained by qualitative analysis. Finally, the research work of this paper is summarized, and the future research topics in integrated pest management are prospected.
【學(xué)位授予單位】：溫州大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2015
【分類號】：O175

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相關(guān)碩士學(xué)位論文 前1條

1 張方方;具有抗性發(fā)展的害蟲控制模型的研究[D];陜西師范大學(xué);2012年

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本文編號：2257055