Front propagation for integro-differential KPP reaction–diffusion equations in periodic media
Front propagation for integro-differential KPP reaction–diffusion equations in periodic media
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DOI：
10.1007/s00030-019-0573-7
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发表时间：
2019-08
期刊：
影响因子：
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通讯作者：
P. Souganidis;Andrei Tarfulea
中科院分区：
文献类型：
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作者：
P. Souganidis;Andrei Tarfulea
我们研究了振荡环境中一大类 KPP 型积分微分反应扩散方程的前沿传播现象，该方程模拟了具有周期性依赖性的各种形式的种群增长。我们证明，在指数缩放下，解形成各向同性的前进前沿，并在前沿之外局部均匀地收敛到零，并收敛到前沿后面的周期性静止状态。结果是在这种一般设置中最普遍的结果。
We study front propagation phenomena for a large class of KPP-type integro-differential reaction–diffusion equations of orderin oscillatory environments, which model various forms of population growth with periodic dependence. We show that, under an exponential rescaling, the solution develops an isotropic advancing front and converges locally uniformly to zero beyond the front and to the periodic stationary state behind the front. The results are the most general available in this general setting.