本文關(guān)鍵詞： 感染度 血吸蟲病 無病平衡點 地方病平衡點 穩(wěn)定性　出處：《南京理工大學(xué)學(xué)報》2017年03期 　論文類型：期刊論文

【摘要】：考慮輕度感染者在一定條件下可以轉(zhuǎn)化為重度感染者的情況,建立了血吸蟲病模型。計算平衡點及疾病爆發(fā)的閾值。根據(jù)特征根的符號及La Salle不變性原理判斷無病平衡點不僅局部漸近穩(wěn)定且全局漸近穩(wěn)定。根據(jù)Hurwitz判別定理判斷地方病平衡點局部漸近穩(wěn)定,通過模擬仿真進(jìn)行了證明。就不同感染度對病人數(shù)量和基本再生數(shù)的影響進(jìn)行了討論,發(fā)現(xiàn)輕度感染者轉(zhuǎn)化為重度感染者會對疾病產(chǎn)生更加復(fù)雜的影響。
[Abstract]:Considering that a mild infection can be transformed into a severe infection under certain conditions, The model of schistosomiasis was established. The equilibrium point and the threshold of disease outbreak were calculated. According to the sign of characteristic root and the principle of La Salle invariance, the disease-free equilibrium point was judged not only locally asymptotically stable but also globally asymptotically stable. According to Hurwitz's discriminant theorem, Judging the local asymptotic stability of endemic equilibrium, The effects of different infection degrees on the number of patients and the number of basic regeneration were discussed. It was found that the transformation of mild to severe infection would have more complex effects on the disease.
【作者單位】： 安徽大學(xué)數(shù)學(xué)科學(xué)學(xué)院;
【分類號】：O175;R532.21
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本文編號：1508181