Existence and uniqueness of traveling waves for a reaction–diffusion model with general response functions

Existence and uniqueness of traveling waves for a reaction–diffusion model with general response functions
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DOI:
10.1016/j.jmaa.2017.01.017
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发表时间:
2017-06
影响因子:
1.3
通讯作者:
Zhiguo Wang;Hua Nie;Jianhua Wu
Zhiguo Wang;Hua Nie;Jianhua Wu
中科院分区:
数学3区
文献类型:
--
作者:
Zhiguo Wang;Hua Nie;Jianhua Wu

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本文考虑了一类具有一般功能反应的反应扩散模型的行波解。建立了行波解存在的充要条件。此外,还得到了与相互作用参数有关的行波解的最小速度、渐近性和唯一性。
The traveling wave solutions of a reaction–diffusion model with general functional responses are considered in this paper. A necessary and sufficient condition is established for the existence of traveling wave solutions. Moreover, the minimum speed, asymptotic behavior and uniqueness of traveling wave solutions are also obtained in relation to the interaction parameters.