Propagation dynamics of Fisher-KPP equation with time delay and free boundaries
Propagation dynamics of Fisher-KPP equation with time delay and free boundaries
复制标题
具有时滞和自由边界的 Fisher-KPP 方程的传播动力学
DOI：
10.1007/s00526-019-1599-8
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发表时间：
2019
影响因子：
2.1
通讯作者：
Fang Jian
中科院分区：
文献类型：
--
作者：
Sun Ningkui;Fang Jian
将自由边界转化为时滞反应扩散方程，得到了一个相容条件，保证了初值问题的适定性。在Fisher-KPP型非线性的情况下，我们建立了一个消失-扩散二分法的结果。此外，当扩展发生时，我们表明，扩展速度和扩展轮廓是由延迟引起的非局部半波问题的非线性。事实证明，时间延迟减缓了传播速度。
Incorporating free boundary into time-delayed reaction–diffusion equations yields a compatible condition that guarantees the well-posedness of the initial value problem. With the Fisher–KPP type nonlinearity we then establish a vanishing–spreading dichotomy result. Further, when the spreading happens, we show that the spreading speed and spreading profile are nonlinearly determined by a delay-induced nonlocal semi-wave problem. It turns out that time delay slows down the spreading speed.