Stability analysis of imitative dynamics in two-community with multiple delays

Abstract Evolutionary game dynamics has become a hot topic in recent years. In this paper, we combine game theory and dynamical systems to investigate the stability of imitative dynamics in two-community with different kinds of delays. First, we establish a new model of imitative dynamics in two-com...

Full description

Bibliographic Details
Main Authors:	Wenjun Hu, Gang Zhang
Format:	Article
Language:	English
Published:	SpringerOpen 2020-06-01
Series:	Advances in Difference Equations
Subjects:	Imitative dynamics Neutrally stable strategy Asymptotical stability Delay
Online Access:	http://link.springer.com/article/10.1186/s13662-020-02718-6

id	doaj-ce2bf886063f424e87ae6a0f0753a7ff
record_format	Article
spelling	doaj-ce2bf886063f424e87ae6a0f0753a7ff2020-11-25T03:11:52ZengSpringerOpenAdvances in Difference Equations1687-18472020-06-012020111210.1186/s13662-020-02718-6Stability analysis of imitative dynamics in two-community with multiple delaysWenjun Hu0Gang Zhang1Department of Mathematics, Luliang UniversitySchool of Mathematical Sciences, Hebei Normal UniversityAbstract Evolutionary game dynamics has become a hot topic in recent years. In this paper, we combine game theory and dynamical systems to investigate the stability of imitative dynamics in two-community with different kinds of delays. First, we establish a new model of imitative dynamics in two-community. Then, three sufficient conditions of the asymptotical stability for the neutrally stable strategy of the imitative dynamics are obtained. Finally, numerical simulations are consistent with the theoretical analysis.http://link.springer.com/article/10.1186/s13662-020-02718-6Imitative dynamicsNeutrally stable strategyAsymptotical stabilityDelay
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Wenjun Hu Gang Zhang
spellingShingle	Wenjun Hu Gang Zhang Stability analysis of imitative dynamics in two-community with multiple delays Advances in Difference Equations Imitative dynamics Neutrally stable strategy Asymptotical stability Delay
author_facet	Wenjun Hu Gang Zhang
author_sort	Wenjun Hu
title	Stability analysis of imitative dynamics in two-community with multiple delays
title_short	Stability analysis of imitative dynamics in two-community with multiple delays
title_full	Stability analysis of imitative dynamics in two-community with multiple delays
title_fullStr	Stability analysis of imitative dynamics in two-community with multiple delays
title_full_unstemmed	Stability analysis of imitative dynamics in two-community with multiple delays
title_sort	stability analysis of imitative dynamics in two-community with multiple delays
publisher	SpringerOpen
series	Advances in Difference Equations
issn	1687-1847
publishDate	2020-06-01
description	Abstract Evolutionary game dynamics has become a hot topic in recent years. In this paper, we combine game theory and dynamical systems to investigate the stability of imitative dynamics in two-community with different kinds of delays. First, we establish a new model of imitative dynamics in two-community. Then, three sufficient conditions of the asymptotical stability for the neutrally stable strategy of the imitative dynamics are obtained. Finally, numerical simulations are consistent with the theoretical analysis.
topic	Imitative dynamics Neutrally stable strategy Asymptotical stability Delay
url	http://link.springer.com/article/10.1186/s13662-020-02718-6
work_keys_str_mv	AT wenjunhu stabilityanalysisofimitativedynamicsintwocommunitywithmultipledelays AT gangzhang stabilityanalysisofimitativedynamicsintwocommunitywithmultipledelays
_version_	1724652532822704128

Stability analysis of imitative dynamics in two-community with multiple delays

Similar Items