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

Volume 2, Issue 1, pp 8--23 http://dx.doi.org/10.22436/mns.02.01.02
Publication Date: April 26, 2018 Submission Date: November 21, 2017 Revision Date: December 19, 2017 Accteptance Date: April 07, 2018

Authors

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


Abstract

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.


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ISRP Style

Yong-Hui Zhou, Yun-Rui Yang, Hong-Juan Zhang, Stability of non-monotone critical waves in a population dynamics model with spatio-temporal delay, Mathematics in Natural Science, 2 (2018), no. 1, 8--23

AMA Style

Zhou Yong-Hui, Yang Yun-Rui, Zhang Hong-Juan, Stability of non-monotone critical waves in a population dynamics model with spatio-temporal delay. Math. Nat. Sci. (2018); 2(1):8--23

Chicago/Turabian Style

Zhou, Yong-Hui, Yang, Yun-Rui, Zhang, Hong-Juan. "Stability of non-monotone critical waves in a population dynamics model with spatio-temporal delay." Mathematics in Natural Science, 2, no. 1 (2018): 8--23


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