This paper deals with the propagation dynamics for lattice differential equations in a time-periodic shifting habitat. We prove the existence, uniqueness and global exponential stability of the periodic forced waves. We also establish the spreading properties of the solutions. Our results indicate that the long-time behaviors of solutions depend on the speed of the shifting habitat and a number that is determined by the average of the maximum linearized growth rate and the diffusion coefficient.

中文翻译：

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时移移位栖息地晶格微分方程的传播动力学

本文研究了时滞移动栖息地中晶格微分方程的传播动力学。我们证明了周期强迫波的存在，唯一性和全局指数稳定性。我们还建立了解决方案的扩展特性。我们的结果表明，溶液的长期行为取决于不断变化的生境的速度以及由最大线性化增长率和扩散系数的平均值确定的数字。