Aggregative movement and front propagation for bi-stable population models
Aggregative movement and front propagation for bi-stable population models
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DOI：
10.1142/s0218202507002303
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发表时间：
2007-09-01
影响因子：
3.5
通讯作者：
Matucci, Serena
中科院分区：
文献类型：
--
作者：
Maini, Philip K.;Malaguti, Luisa;Matucci, Serena
研究了聚集-扩散-反应方程v（tau）= [D（v）v（x）]（x）+ f（v）的波前传播问题，其中f是双稳态反应项，D（v）是变号扩散系数，模拟了聚集-扩散过程.我们提供了行波解存在的充分必要条件，并根据它们如何或是否在有限时间内达到平衡来对它们进行分类。我们还表明，动力学可以表现出有限的传播速度和/或有限的饱和速度的现象。
Front propagation for the aggregation-diffusion-reaction equationv(tau) = [D( v) v(x)](x) + f(v)is investigated, where f is a bi-stable reaction-term and D(v) is a diffusion coefficient with changing sign, modeling aggregating-diffusing processes. We provide necessary and sufficient conditions for the existence of traveling wave solutions and classify them according to how or if they attain their equilibria at finite times. We also show that the dynamics can exhibit the phenomena of finite speed of propagation and/or finite speed of saturation.