标题： 哈里斯的非保守周期半流方法及其在某些非局部PDE中的应用 显示英文标题

标题： Harris's method for non-conservative periodic semiflows and application to some non-local PDEs

摘要： 在本文中，我们提出了一些类似Harris的准则，以研究一般正的和周期半流的长时间行为。 这些准则使我们能够获得主特征元的新存在结果及其指数吸引性。 我们展示了在时空变化环境中两个生物模型的应用：一个非局部选择-突变方程和一个生长-分裂方程。 本文的特殊之处在于研究一些在时间上是周期性的非均匀问题，例如当环境变化时出现的情况，例如由于季节周期或昼夜节律。 显示英文摘要

摘要： In this paper we propose some Harris-like criteria in order to study the long time behavior of general positive and periodic semiflows. These criteria allow us to obtain new existence results of principal eigenelements, and their exponential attractiveness. We present applications to two biological models in a space-time varying environment: a non local selection-mutation equation and a growth-fragmentation equation. The particularity of this article is to study some inhomogeneous problems that are periodic in time, as it appears for instance when the environment changes, due for instance to the seasonal cycle or circadian rhythms.