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.
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 upper- lower 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.
出处
《生物数学学报》
CSCD
2012年第1期150-156,共7页
Journal of Biomathematics
基金
甘肃省自然科学基金(096RJZA051)资助项目
关键词
比较原理
波前解
渐近传播
Comparison principle
Traveling wavefronts
Asymptotic spreading
