不同感染度血吸虫病模型的稳定性分析

发布时间：2018-02-13 12:39

  本文关键词： 感染度 血吸虫病 无病平衡点 地方病平衡点 稳定性　出处：《南京理工大学学报》2017年03期 　论文类型：期刊论文

【摘要】：考虑轻度感染者在一定条件下可以转化为重度感染者的情况,建立了血吸虫病模型。计算平衡点及疾病爆发的阈值。根据特征根的符号及La Salle不变性原理判断无病平衡点不仅局部渐近稳定且全局渐近稳定。根据Hurwitz判别定理判断地方病平衡点局部渐近稳定,通过模拟仿真进行了证明。就不同感染度对病人数量和基本再生数的影响进行了讨论,发现轻度感染者转化为重度感染者会对疾病产生更加复杂的影响。
[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.
【作者单位】： 安徽大学数学科学学院;
【分类号】：O175;R532.21
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本文编号：1508181