The illness-death model for chronic conditions is combined with a renewal equation for the number of newborns taking into account possibly different fertility rates in the healthy and diseased parts of the population. The resulting boundary value problem consists of a system of partial differential equations with an integral boundary condition. As an application, the boundary value problem is applied to an example about type 2 diabetes.

翻译：针对慢性疾病的疾病-死亡模型与新生儿数量更新方程相结合，其中考虑了健康群体与患病群体中可能存在的不同生育率。由此产生的边值问题包含一组带有积分边界条件的偏微分方程组。作为应用，该边值问题被应用于关于2型糖尿病的实例分析。