Traveling Wave Solutions of a Competition Diffusion System with Nonlocal Delays
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Traveling Wave Solutions of a Competition Diffusion System with Nonlocal Delays
Acta Scientiarum Naturalium Universitatis SunYatseniVol. 54, Issue 3, Pages: 68-73(2015)
作者机构:
浙江水利水电学院基础部,浙江,杭州,310018
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Published:2015,
Published Online:25 June 2015,
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WU Fuzhen. Traveling Wave Solutions of a Competition Diffusion System with Nonlocal Delays. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 54(3):68-73(2015)
DOI:
WU Fuzhen. Traveling Wave Solutions of a Competition Diffusion System with Nonlocal Delays. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 54(3):68-73(2015)DOI:
Traveling Wave Solutions of a Competition Diffusion System with Nonlocal Delays
The traveling wave solutions of a competitive system with nonlocal delay are concerned. By combining fixed point theorem with generalized upper and lower solutions
the existence of traveling wave solutions is established. Then the asymptotic behavior of traveling wave solutions is obtained by the idea of contracting rectangles. Finally
the nonexistence of traveling wave solutions is proved by the theory of asymptotic spreading.
关键词
压缩矩形渐近传播入侵与共存
Keywords
contracting rectangleasymptotic spreadinginvasion and coexistence