Stability of non-monotone critical waves in a population dynamics model with spatio-temporal delay

Volume 2, Issue 1, pp 8--23
Publication Date: April 26, 2018 Submission Date: November 21, 2017 Revision Date: December 19, 2017 Accteptance Date: April 07, 2018


Yong-Hui Zhou - School of Mathematics and Statistics, Hexi University, Zhangye, Gansu 734000, P. R. China Yun-Rui Yang - School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou, Gansu 730070, P. R. China Hong-Juan Zhang - School of Agricultural and Biological Technology, Hexi University, Zhangye, Gansu 734000, P. R. China


This paper, we show the stability of non-monotone critical waves by a anti-weighted method for a kind of non-monotone time-delayed reaction-diffusion equations including Nicholson's blowflies equation which describes the population dynamics of a single species with age structure.