Parametric dependence in model epidemics. II: Non-contact rate-related parameters

DOI10.1080/17513750701201364zbMath1123.92032OpenAlexW2029812554WikidataQ42716604 ScholiaQ42716604MaRDI QIDQ5424852

T. V. Bronnikova, William M. Schaffer

Publication date: 6 November 2007

Published in: Journal of Biological Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17513750701201364

zbMATH Keywords

bifurcationscontinuationSEIR equations

Mathematics Subject Classification ID

Epidemiology (92D30) Dynamical systems in biology (37N25) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Effects of noise on some dynamical models in ecology
• Infinite subharmonic bifurcation in an SEIR epidemic model
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Dynamical behavior of epidemiological models with nonlinear incidence rates
• Oscillations and chaos in epidemics: A nonlinear dynamic study of six childhood diseases in Copenhagen, Denmark
• Oscillatory phenomena in a model of infectious diseases
• Small amplitude, long period outbreaks in seasonally driven epidemics
• A deterministic model for gonorrhea in a nonhomogeneous population
• Bifurcation analysis of periodic SEIR and SIR epidemic models
• Waning immunity and its effects on vaccination schedules
• Spatiotemporal dynamics of epidemics: Synchrony in metapopulation models.
• External forcing of ecological and epidemiological systems: a resonance approach
• Exciting chaos with noise: unexpected dynamics in epidemic outbreaks
• Global stability for the SEIR model in epidemiology
• The rainbow bridge: Hamiltonian limits and resonance in predator-prey dynamics
• The Mathematics of Infectious Diseases
• Directly Transmitted Infections Diseases: Control by Vaccination
• Nonlinear Oscillations in Epidemic Models
• Bifurcation structures of periodically forced oscillators
• Lyapunov functions and global properties for SEIR and SEIS epidemic models
• Crises, sudden changes in chaotic attractors, and transient chaos
• Non-linear incidence and stability of infectious disease models
• Elements of applied bifurcation theory

This page was built for publication: Parametric dependence in model epidemics. II: Non-contact rate-related parameters