【摘要】：查加斯病是由克氏錐蟲寄生引起的,其傳播媒介為錐蝽.帶有病原體的錐蝽叮咬健康人是其主要的傳播途徑,本病也可以通過輸血、母嬰進(jìn)行傳播.建立了宿主具有垂直傳染、不同的傳染源采用不同傳染率的查加斯病模型并進(jìn)行了動力學(xué)性態(tài)分析.通過分析,給出了基本再生數(shù)R_0;當(dāng)垂直傳染率p=0時(shí),若R_01,系統(tǒng)僅存在無病平衡點(diǎn)且局部漸近穩(wěn)定,意味著疾病消亡;當(dāng)R_01時(shí),系統(tǒng)存在一個(gè)正平衡點(diǎn)且局部漸近穩(wěn)定;當(dāng)0p≤1時(shí),系統(tǒng)不存在無病平衡點(diǎn),始終存在一個(gè)正平衡點(diǎn),并證明了其是局部漸近穩(wěn)定的.通過構(gòu)造Lyapunov函數(shù)證明了模型的無病平衡點(diǎn)和正平衡點(diǎn)的全局穩(wěn)定性,即疾病流行.最后通過數(shù)值模擬,驗(yàn)證了所得結(jié)論的正確性.
[Abstract]:Chagas disease is caused by Trypanosoma krjabini parasitism, and its transmission vector is Triptera pyramidis. The main way of transmission is to bite healthy people with the pathogen. The disease can also be transmitted through blood transfusion and mother-to-child transmission. The model of Chagas disease with different infection rate and different infection source was established and the dynamic behavior was analyzed. Through analysis, the basic regenerative number R _ (0) is given. When the vertical transmission rate is 0, if R _ s _ (01), the system has only disease-free equilibrium point and local asymptotic stability, which means that the disease will die out. The system has a positive equilibrium point and locally asymptotically stable, and when 0 p 鈮，

本文編號：2382931