【摘要】：本文依據(jù)舌狀絳蟲疾病的傳播過程,構(gòu)建了兩個動力學(xué)模型,并對其性態(tài)加以分析.第一章,介紹了舌狀絳蟲病的生物背景和傳播機制,以及寄生蟲感染食餌——捕食者系統(tǒng)的動力學(xué)模型研究進(jìn)展.第二章,建立了具有雙線性功能反應(yīng)函數(shù)的動力學(xué)模型.首先,證明了模型解的正性和有界性,其次,計算出了模型基本再生數(shù)和討論了模型平衡點的存在性,接著,分析了平衡點的局部穩(wěn)定性.最后,分析了部分平衡點的全局穩(wěn)定性.第三章,建立了具有第Ⅱ類功能性反應(yīng)函數(shù)的動力學(xué)模型.首先,證明了模型解的正性和有界性.其次,給出基本再生數(shù)和討論了平衡點的存在性.最后,分析了模型平衡點的存在性及局部穩(wěn)定性.第四章,簡要回顧了本文的主要工作,介紹了模型的實際意義,并對本文工作的不足之處及進(jìn)一步研究方向進(jìn)行了討論.
[Abstract]:In this paper, according to the transmission process of tapeworm disease, two dynamic models were constructed and their behavior was analyzed. In the first chapter, the biological background and transmission mechanism of hyoid tapeworm and the dynamics model of prey-predator system infected by parasites are reviewed. In the second chapter, the dynamic model with bilinear functional response function is established. First, the positive and boundedness of the solution of the model is proved. Secondly, the basic regeneration number of the model is calculated and the existence of the equilibrium point is discussed. Secondly, the local stability of the equilibrium point is analyzed. Finally, the global stability of partial equilibrium point is analyzed. In the third chapter, the kinetic model with the type 鈪，

本文編號：2455872