Global Stability of Traveling Wave Fronts for a Population Dynamics Model with Quiescent Stage and Delay
Dynamical Systems
2020-11-26 v1 Analysis of PDEs
Abstract
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.
Keywords
Cite
@article{arxiv.2011.12705,
title = {Global Stability of Traveling Wave Fronts for a Population Dynamics Model with Quiescent Stage and Delay},
author = {Yonghui Zhou and Shuguan Ji},
journal= {arXiv preprint arXiv:2011.12705},
year = {2020}
}