一類具免疫控制的sir傳染病模型的穩(wěn)定-資料下載頁
2024-10-04 09:43本頁面
【正文】 utor:GongZhaogangAbstract: The dissertation study on mathematical model with immune control by using the theory of differential equations, consider the total population is the effect of a constant input, model existence the diseasefree equilibrium and the endemic equilibrium is discussed, by using the eigenvalue method and the Jacobi matrix to get the local stability of the diseasefree equilibrium and the endemic equilibrium point. The method of constructing Dulac function, sufficient conditions for global stability of the diseasefree equilibrium and the endemic equilibrium are obtained, and the matlab software is used to simulate. Key words: immune control。Jacabi。Dulac。equilibrium point。global stability內(nèi)容總結(jié)
（1）一類具免疫控制的SIR傳染病模型的穩(wěn)定性
信息與計(jì)算科學(xué)專業(yè) 學(xué)生：肖憲偉 指導(dǎo)教師：宮兆剛
摘 要：利用微分方程理論研究了具有免疫控制的數(shù)學(xué)模型，考慮總?cè)丝跀?shù)是常數(shù)輸入的影響，討論了模型無病平衡點(diǎn)和地方病平衡點(diǎn)的存在性，利用特征值方法和Jacobi矩陣得到了無病平衡點(diǎn)和地方病平衡點(diǎn)的局部穩(wěn)定性
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