具有更新的单种群McKendrick-von Foerster模型解的存在唯一性
Existence and uniqueness of solutions for single-population McKendrick-von Foerster models with renewal
摘要：
研究了一类带更新的McKendrick-vonFoerster型方程.这个模型用一个单一的方程来表示，它描述了一个产生年轻个体的物种。更新条件是线性的，但考虑了种群的一些历史。该模型解决了年龄结构的个体之间的非局部相互作用。绝大多数大小结构模型也是可治疗的。我们的模型推广了一些早期的模型与延迟和积分。通过对$L^{\infty}\cap L^1.$中的一个等价积分问题的不动点方法证明了其存在唯一性
英文摘要：
We study a McKendrick-von Foerster type equation with renewal. This model is represented by a single equation which describes one species which produces young individuals. The renewal condition is linear, but takes into account some history of the population. This model addresses nonlocal interactions between individuals structured by age. The vast majority of size-structured models are also treatable. Our model generalizes a number of earlier models with delays and integrals. The existence and uniqueness is proved through a fixed-point approach to an equivalent integral problem in $L^{\infty}\cap L^1.$
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