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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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【Citations】
Chinese Journal Full-text Database 3 Hits
1 HUANG Ling-zhi;School of Mathematical Sciences,Chongqing Normal University;;Research on a Single Species Model with Impulsive Diffusion and Dispersal Delay[J];重庆工商大学学报(自然科学版);2015-09
2 ZHANG Wenguang;CHEN Jun;YAO Yuhui;SHEN Tianjing;School of Economics and Management,Guizhou Normal University;Library of Guizhou Normal University;School of Education Sciences,Guizhou Normal University;;MapReduce-based Word Count achieve in distributed network environment[J];贵州师范大学学报(自然科学版);2015-01
3 ZHANG Jianming PENG Yahong Department of Mathematics, Zhejiang Science and Technology University, Hangzhou 310018, China. Department of Mathematics, Donghua University, Shanghai 200051, China.;Travelling Waves of Diffusive Nicholson's Blowflies Equation with Delay and Non-local Effect[J];数学年刊A辑(中文版);2006-06
【Co-citations】
Chinese Journal Full-text Database 3 Hits
1 Cunhua Zhang Dept.of Math.,Lanzhou Jiaotong University,Lanzhou 730070;TRAVELLING FRONT SOLUTIONS IN A DIFFUSIVE VECTOR DISEASE MODEL WITH SPATIO-TEMPORAL DELAY[J];Annals of Differential Equations;2012-04
2 Cun-hua ZHANG,Xiang-ping YAN (Department of Mathematics,Lanzhou Jiaotong University,Lanzhou 730070,P.R.China);Wavefront solutions in diffusive Nicholson’s blowflies equation with nonlocal delay[J];Applied Mathematics and Mechanics(English Edition);2010-03
3 ZHANG Cun-hua,YAN Xiang-ping(Department of Mathematics,Lanzhou Jiaotong University,Lanzhou 730070,P.R.China);Wavefront Solutions in the Diffusive Nicholson's Blowflies Equation With Nonlocal Delay[J];应用数学和力学;2010-03
【Secondary Citations】
Chinese Journal Full-text Database 4 Hits
1 LI Jian-jiang1,CUI Jian1,WANG Dan1,YAN Lin1,HUANG Yi-shuang2(1.Department of Computer Science and Technology,School of Computer and Communication Engineering,University of Science and TechnologyBeijing,Beijing 100083,China;2.Research Institute of Exploration Southern Division Company,SINOPEC,Chengdu,Sichuan 610041,China);Survey of MapReduce Parallel Programming Model[J];电子学报;2011-11
2 LUO Jun-zhou,JIN Jia-hui,SONG Ai-bo,DONG Fang(School of Computer Science and Engineering,Southeast University,Nanjing 211189,China);Cloud computing:architecture and key technologies[J];通信学报;2011-07
3 CHEN Jun1,2,CHEN Xiao-wei1(1.College of Computer Science & Information,Guizhou University,Guiyang 550025 China;2.School of Education Science,Guizhou Normal University,Guiyang 550001 China);Building Cloud Computing System Based on Hadoop[J];贵州大学学报(自然科学版);2011-03
4 LI Cheng-hua,ZHANG Xin-fang,JIN Hai,XIANG Wen(School of Computer Science and Technology,Huazhong University of Science and Technology,Wuhan 430074,China);MapReduce:a New Programming Model for Distributed Parallel Computing[J];计算机工程与科学;2011-03
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