标题： 流行病模型中具有分布接触的无限多个饱和行波 显示英文标题

标题： Infinitely many saturated travelling waves for epidemic models with distributed-contacts

摘要： 我们考虑一个具有分布接触的流行病模型。 当接触核集中时，形式上可以得到一个非常退化的Fisher-KPP方程，其扩散项不是散度形式。 我们对该方程的行波进行了详尽的研究。 对于每个允许的速度，不仅存在非饱和（平滑）波，还存在无限多个饱和（尖锐）波。 此外，它们的尾部可能与通常预期的不同。 因此，这些结果与其相关模型的结果形成鲜明对比。 显示英文摘要

摘要： We consider an epidemic model with distributed-contacts. When the contact kernel concentrates, one formally reaches a very degenerate Fisher-KPP equation with a diffusion term that is not in divergence form. We make an exhaustive study of its travelling waves. For every admissible speed, there exists not only a non-saturated (smooth) wave but also infinitely many saturated (sharp) ones. Furthermore their tails may differ from what is usually expected. These results are thus in sharp contrast with their counterparts on related models.