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- 2018
带非局部效应的单种群模型时空分布模式分析
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Abstract:
主要利用反应扩散方程的空间均匀的Hopf分支条件和其行波方程的分支条件，得到了该单种群模型的时空分布模式，主要包括空间均匀时间上周期振荡的分布模式和空间非均匀的周期行波模式.此外，还借助数值计算的方法，验证了所得的理论结果.数值计算结果发现该空间非均匀的行波解还受到时滞的影响，当时滞量增大时，该空间非均匀的行波解由波前解转化为带振荡尾巴的周期行波解.
In this paper, the spatiotemporal distribution patterns of a single population model with nonlocal effect are investigated by employing the Hopf bifurcation theory, including the spatially homogeneous and temporally oscillated distribution pattern and spatially nonhomogeneous periodic traveling wave solution. Besides, the theoretical results are validated by using the numerical method. It is found that as the time delay increases the shape of this traveling wave solution will vary from the traveling wave front to the periodic traveling wave with an oscillation wake
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