论文标题
人口动态模型的全球稳定性具有静止阶段和延迟的稳定性
Global Stability of Traveling Wave Fronts for a Population Dynamics Model with Quiescent Stage and Delay
论文作者
论文摘要
本文关注的是,对于具有静止阶段和延迟的一类人口动态模型,波动波阵线的全球指数稳定性。首先,我们为人口动力学模型建立了解决方案的比较原理。然后,通过结合比较原理的加权能法,建立了在准单调条件下种群动力学模型的行驶波阵线的全球指数稳定性。
This paper is concerned with the globally exponential stability of traveling wave fronts for a class of population dynamics model with quiescent stage and delay. First, we establish the comparison principle of solutions for the population dynamics model. Then, by the weighted energy method combining comparison principle, the globally exponential stability of traveling wave fronts of the population dynamics model under the quasi-monotonicity conditions is established.