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《Journal of Southwest University(Natural Science Edition)》 2018-11
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Analysis of Spatiotemporal Patterns of a Single Population Model with Nonlocal Effect

YANG Gao-xiang;School of Mathematics and Statistics,Ankang University;Institute of Mathematics and Applied Mathematics,Ankang University;  
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.
【Fund】: 国家自然科学基金项目(11301451);; 陕西省教育厅项目(15JK1016));; 安康学院科研项目(2016AYQDZR10 2018AYPY01);; 大学生创新创业项目(2017sxjy017)
【CateGory Index】: O175
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