SYNCHRONY-BREAKING HOPF BIFURCATION IN A MODEL OF ANTIGENIC VARIATION

DOI10.1142/S0218127413500211zbMath1270.34119MaRDI QIDQ2845143

Bernard S. Chan, Pei Yu

Publication date: 22 August 2013

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

zbMATH Keywords

stabilityHopf bifurcationinfectious diseasemultiple strainsantigenic variation

Mathematics Subject Classification ID

Epidemiology (92D30) Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20) Cell biology (92C37) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (6)

Equivariant Hopf bifurcation in a time-delayed ring of antigenic variants ⋮ Chimera states in multi-strain epidemic models with temporary immunity ⋮ Bifurcation, stability, and cluster formation of multi-strain infection models ⋮ Instability of disease-free equilibrium in a model of malaria with immune delay ⋮ Analysis of symmetries in models of multi-strain infections ⋮ On the stability and Hopf bifurcation of the non-zero uniform endemic equilibrium of a time-delayed malaria model

Cites Work

• Stability and bifurcations in a model of antigenic variation in malaria
• Oscillations in an intra-host model of Plasmodium falciparum malaria due to cross-reactive immune response
• A status-based approach to multiple strain dynamics
• The onset of oscillatory dynamics in models of multiple disease strains
• Linear equivalence and ODE-equivalence for coupled cell networks
• Immune response to a malaria infection: properties of a mathematical model
• Multistrain virus dynamics with mutations: a global analysis
• Bifurcations from Synchrony in Homogeneous Networks: Linear Theory
• Patterns of Synchrony in Coupled Cell Networks with Multiple Arrows
• Nonlinear dynamics of networks: the groupoid formalism
• CLOSED-FORM CONDITIONS OF BIFURCATION POINTS FOR GENERAL DIFFERENTIAL EQUATIONS

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