2020
DOI: 10.1186/s13662-020-02718-6
|View full text |Cite
|
Sign up to set email alerts
|

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-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.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
1

Citation Types

0
1
0

Year Published

2022
2022
2024
2024

Publication Types

Select...
2

Relationship

0
2

Authors

Journals

citations
Cited by 2 publications
(1 citation statement)
references
References 36 publications
0
1
0
Order By: Relevance
“…These concepts constitute the core content of evolutionary game theory, representing the stable state of the evolutionary game and the dynamic convergence process to this stable state, respectively. A wide array of literature followed on, analyzing the stability of evolutionary game [35][36][37]. Meanwhile, the research on evolutionary game theory began to focus on asymmetric games from symmetric games [38,39].…”
Section: Evolutionary Game Theory and Its Applicationsmentioning
confidence: 99%
“…These concepts constitute the core content of evolutionary game theory, representing the stable state of the evolutionary game and the dynamic convergence process to this stable state, respectively. A wide array of literature followed on, analyzing the stability of evolutionary game [35][36][37]. Meanwhile, the research on evolutionary game theory began to focus on asymmetric games from symmetric games [38,39].…”
Section: Evolutionary Game Theory and Its Applicationsmentioning
confidence: 99%