耦合时空时滞的单种群模型行波解的存在性

摘要 主要借助几何奇异摄动法分析了一类带时空时滞的单种群模型中行波解的存在性，分析结果表明当时滞量比较小时该单种群模型存在波前解.另外，借助数值模拟的方法验证了该理论结果，模拟结果发现当时滞比较小时数值模拟结果与理论分析结果相吻合，该单种群模型存在波前解.
Abstract：In this paper, the existence of a travelling wave solution for a single population model with spatio-temporal delay is investigated by employing singular perturbation. The theoretical results are validated by using a numerical method. When the time delay is very small, a wave front solution exists; however, as the time delay increases, the shape of this travelling wave solution can vary and an oscillation wake can occur.