Zhang Pei, Feng Zhilan, Milner Fabio
Mathematics Department, Purdue University, West Lafayette, IN 47907, USA.
Math Biosci. 2007 Jan;205(1):83-107. doi: 10.1016/j.mbs.2006.06.006. Epub 2006 Aug 4.
We study a system of partial differential equations which models the disease transmission dynamics of schistosomiasis. The model incorporates both the definitive human hosts and the intermediate snail hosts. The human hosts have an age-dependent infection rate and the snail hosts have an infection-age-dependent cercaria releasing rate. The parasite reproduction number R is computed and is shown to determine the disease dynamics. Stability results are obtained via both analytic and numerical studies. Results of the model are used to discuss age-targeted drug treatment strategies for humans. Sensitivity and uncertainty analysis is conducted to determine the role of various parameters on the variation of R. The effects of various drug treatment programs on disease control are compared in terms of both R and the mean parasite load within the human hosts.
我们研究了一个偏微分方程组，该方程组对血吸虫病的疾病传播动力学进行了建模。该模型纳入了人类终宿主和中间宿主钉螺。人类宿主具有年龄依赖性感染率，而钉螺宿主具有感染龄依赖性尾蚴释放率。计算了寄生虫繁殖数(R)，并表明它决定了疾病动态。通过解析和数值研究获得了稳定性结果。该模型的结果用于讨论针对人类的年龄靶向药物治疗策略。进行了敏感性和不确定性分析，以确定各种参数对(R)变化的作用。从(R)和人类宿主体内的平均寄生虫负荷两方面比较了各种药物治疗方案对疾病控制的影响。
