In this paper, we study a temporally distributed memory-based diffusion model with a weak kernel and nonlocal delay effect. Without diffusion, we present results on the stability and Hopf bifurcation of the positive constant steady state. With the inclusion of diffusion, further results on the stability and steady state bifurcation are derived. Finally, these findings are applied to a population model.

中文翻译：

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具有非局部延迟效应的弱核分布式基于内存的扩散模型的动力学


在本文中，我们研究了一种具有弱核和非局部延迟效应的时间分布的基于记忆的扩散模型。在没有扩散的情况下，我们展示了正常态的稳定性和 Hopf 分叉的结果。通过包含扩散，得出了稳定性和稳态分岔的进一步结果。最后，将这些发现应用于种群模型。