Parameter dependence of propagation speed of travelling waves for competition-diffusion equations

Parameter dependence of propagation speed of travelling waves for competition-diffusion equations
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DOI:
10.1137/s0036141093244556
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发表时间:
1995-03
影响因子:
2
通讯作者:
Y. Kan-on
Y. Kan-on
中科院分区:
数学2区
文献类型:
--
作者:
Y. Kan-on

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在本文中,考虑了某些竞争 - 扩散方程的行波解,并确定了它们的传播速度对方程中出现的参数的单调依赖性。为此,运用了最大值原理和异宿轨道的分岔理论。
In this paper, travelling wave solutions for certain competition-diffusion equations are considered, and the monotone dependence of their propagation speed on parameters which appear in the equation are established. To do this, the maximum principle and the bifurcation theory for heteroclinic orbits are employed.