Hopf Bifurcations in Two-Strategy Delayed Replicator Dynamics

DOI10.1142/S0218127416500061zbMath1334.34180OpenAlexW2281555966MaRDI QIDQ2800689

David G. Rand, Elizabeth Wesson, Richard H. Rand

Publication date: 18 April 2016

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127416500061

zbMATH Keywords

delaylimit cycleHopf bifurcationLindstedtreplicator

Mathematics Subject Classification ID

Periodic solutions to functional-differential equations (34K13) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18) Evolutionary games (91A22)

Related Items (9)

Three-player games with strategy-dependent time delays ⋮ The stability of imitation dynamics with discrete distributed delays ⋮ Stochastic stability analysis of evolutionary two-player games on regular graphs ⋮ Replicator dynamics of evolutionary games with different delays on costs and benefits ⋮ Discrete and continuous distributed delays in replicator dynamics ⋮ Replicator dynamics of an \(N\)--player snowdrift game with delayed payoffs ⋮ Bifurcation analysis of three-strategy imitative dynamics with mutations ⋮ Stability analysis of imitative dynamics in two-community with multiple delays ⋮ Evolutionary Dynamics of Cooperation in a Corrupt Society with Anti-Corruption Control

Cites Work

• Hopf bifurcations in delayed rock-paper-scissors replicator dynamics
• Hopf bifurcation formula for first order differential-delay equations
• Evolutionary Games and Population Dynamics
• Applied Delay Differential Equations
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