论文标题
不连续内核的异性差异方程的渐近方案
Asymptotic regimes of an integro-difference equation with discontinuous kernel
论文作者
论文摘要
本文关注的是一个积分方程，该方程模拟了斑点景观中人群的离散时间动态。域中的斑块通过整个域中有限数量的积分算子内核的不连续性反映。我们在某些假设上证明了固定状态的存在和独特性，这些假设对线性整体操作员的主要特征值和增长项也是如此。我们还得出了人口灭绝的标准（在这种情况下，固定解决方案到处都是0）。
This paper is concerned with an integral equation that models discrete time dynamics of a population in a patchy landscape. The patches in the domain are reflected through the discontinuity of the kernel of the integral operator at a finite number of points in the whole domain. We prove the existence and uniqueness of a stationary state under certain assumptions on the principal eigenvalue of the linearized integral operator and the growth term as well. We also derive criteria under which the population undergoes extinction (in which case the stationary solution is 0 everywhere).
