Dynamic phenomena arising from an extended core group model

DOI10.1016/j.mbs.2009.08.003zbMath1175.92043OpenAlexW2066921680WikidataQ43291490 ScholiaQ43291490MaRDI QIDQ1038263

Martin Griffiths, David Greenhalgh

Publication date: 17 November 2009

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://strathprints.strath.ac.uk/14036/

zbMATH Keywords

basic reproduction numberstochastic modelbackward bifurcationepidemic modelsequilibrium and stability analysis

Mathematics Subject Classification ID

Epidemiology (92D30) Bifurcation theory for ordinary differential equations (34C23) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05) Medical epidemiology (92C60)

Related Items (4)

Vaccination based control of infections in SIRS models with reinfection: special reference to pertussis ⋮ A simple epidemiological model for populations in the wild with Allee effects and disease-modified fitness ⋮ Dynamical behavior of an epidemiological model with a demographic allee effect ⋮ The probability of extinction in a bovine respiratory syncytial virus epidemic model

Uses Software

• R

Cites Work

• Cannibalism as a life boat mechanism
• On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
• Backward bifurcation, equilibrium and stability phenomena in a three-stage extended BRSV epidemic model
• Results on the dynamics for models for the sexual transmission of the human immunodeficiency virus
• The quasi-stationary behavior of quasi-birth-and-death processes
• Subcritical endemic steady states in mathematical models for animal infections with incomplete immunity
• Stochastic models of some endemic infections
• Dynamical models of tuberculosis and their applications
• Backward bifurcations in simple vaccination models
• A core group model for disease transmission
• Sustained oscillations via coherence resonance in SIR
• Raves, clubs and ecstasy: the impact of peer pressure
• Stochastic epidemic models with a backward bifurcation
• Modelling Biological Populations in Space and Time
• Stability and Bifurcation for a Multiple-Group Model for the Dynamics of HIV/AIDS Transmission
• Quasi-stationary distributions for stochastic processes with an absorbing state
• Introducing a Population into a Steady Community: The Critical Case, the Center Manifold, and the Direction of Bifurcation
• Elements of applied bifurcation theory
• Approximations for the long-term behavior of an open-population epidemic model
• A model for tuberculosis with exogenous reinfection
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