| 格上时滞Lotka-Volterra合作系统的波前解 |
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| 引用本文： | 朱福国.格上时滞Lotka-Volterra合作系统的波前解[J].生物数学学报,2012(1):150-156. |
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| 作者姓名： | 朱福国 |
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| 作者单位： | 河西学院数学与统计学院 |
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| 基金项目： | 甘肃省自然科学基金(096RJZA051)资助项目 |
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| 摘 要： | 研究了定义在格上并具有时滞的Lotka-Volterra合作系统的波前解.通过构造上下解得到了波前解的存在性,借助于比较原理和渐近传播理论得到了波前解的不存在性,进而在得到了波前解最小波速的充分条件.
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| 关 键 词： | 比较原理 波前解 渐近传播 |
Traveling Wave Fronts of Delayed Lotka-Volterra System on Lattice |
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| ZHU Fu-guo.Traveling Wave Fronts of Delayed Lotka-Volterra System on Lattice[J].Journal of Biomathematics,2012(1):150-156. |
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| Authors: | ZHU Fu-guo |
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| Institution: | ZHU Fu-guo (School of Mathematics and Statistics,Hexi University,Zhangye,Gansu 734000 China) |
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| Abstract: | This paper is concerned with the traveling wave fronts of delayed Lotka-Volterra system on lattice.The existence of traveling wave fronts is established by constructing upperlower solutions and the nonexistence of traveling wave fronts is proved by the theory of asymptotic spreading with comparison principle,which imply some sufficient conditions on the minimal wave speed. |
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| Keywords: | Comparison principle Traveling wavefronts Asymptotic spreading |
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