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Title of Journal: Bull Math Biol

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Abbravation: Bulletin of Mathematical Biology

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Springer-Verlag

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1522-9602

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Global Properties of Emphasis Type="Italic"SIR/

Authors: Andrei Korobeinikov
Publish Date: 2008/09/04
Volume: 71, Issue: 1, Pages: 75-83
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Abstract

We consider global properties of compartment SIR and SEIR models of infectious diseases where there are several parallel infective stages For instance such a situation may arise if a fraction of the infected are detected and treated while the rest of the infected remains undetected and untreated We assume that the horizontal transmission is governed by the standard bilinear incidence rate The direct Lyapunov method enables us to prove that the considered models are globally stable There is always a globally asymptotically stable equilibrium state Depending on the value of the basic reproduction number R 0 this state can be either endemic R 01 or infectionfree R 0≤1

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  2. Effects of Intrinsic and Extrinsic Noise Can Accelerate Juxtacrine Pattern Formation
  3. A Mathematical Model of the Human Metabolic System and Metabolic Flexibility
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  6. The Common Ancestor Process Revisited
  7. Identifying Environmental Determinants of Diurnal Distribution in Marine Birds and Mammals
  8. Diffusion of Finite-Size Particles in Confined Geometries
  9. A Geometric Comparison of Single Chain Multi-State Models of Ion Channel Gating
  10. Model of Prey–Predator Dynamics with Reflexive Spatial Behaviour of Species Based on Optimal Migration
  11. On the Probability of Random Genetic Mutations for Various Types of Tumor Growth
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  14. Piecewise Linear and Boolean Models of Chemical Reaction Networks
  15. Phenologically-Structured Predator-Prey Dynamics with Temperature Dependence
  16. The Impact of Hepatitis A Virus Infection on Hepatitis C Virus Infection: A Competitive Exclusion Hypothesis
  17. Dynamics Analysis of a Multi-strain Cholera Model with an Imperfect Vaccine
  18. Neural Population Modes Capture Biologically Realistic Large Scale Network Dynamics
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  20. Selecting Radiotherapy Dose Distributions by Means of Constrained Optimization Problems
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