This paper is concerned with the Fisher-KPP equation with diffusion and nonlocal delay. Firstly, we establish the global existence and uniform boundedness of solutions to the Cauchy problem. Then, we establish the spreading speed for the solutions with compactly supported initial data. Finally, we investigate the long time behavior of solutions by numerical simulations.

中文翻译：

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具有非局部时滞的Fisher-KPP方程的扩展速度

本文涉及具有扩散和非局部时滞的Fisher-KPP方程。首先，我们确定了柯西问题的整体存在性和解的有界界。然后，我们使用紧密支持的初始数据来确定解决方案的扩展速度。最后，我们通过数值模拟研究了溶液的长时间行为。