The computation of \(R_ 0\) for discrete-time epidemic models with dynamic heterogeneity

DOI10.1016/0025-5564(94)90006-XzbMath0791.92019OpenAlexW2108097321WikidataQ51652282 ScholiaQ51652282MaRDI QIDQ1325003

J. A. P. Heesterbeek, Mart C. M. de Jong, Odo Diekmann

Publication date: 11 July 1994

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

Full work available at URL: https://doi.org/10.1016/0025-5564(94)90006-x

zbMATH Keywords

susceptibilitybasic reproduction ratioexplicit algorithmnet reproduction ratiodiscrete-time epidemic modelsmaximum overall transmission weighttotal infectivity

Mathematics Subject Classification ID

Epidemiology (92D30) Eigenvalues, singular values, and eigenvectors (15A18) Basic linear algebra (15A99) Computational methods for problems pertaining to biology (92-08)

Related Items (16)

OCCURRENCE OF CHAOS AND ITS POSSIBLE CONTROL IN A PREDATOR-PREY MODEL WITH DENSITY DEPENDENT DISEASE-INDUCED MORTALITY ON PREDATOR POPULATION ⋮ The role of transmissible diseases in the Holling-Tanner predator-prey model ⋮ Models of infectious diseases in spatially heterogeneous environments ⋮ Stability preserving NSFD scheme for a multi-group SVIR epidemic model ⋮ A nonstandard finite difference scheme for a multi-group epidemic model with time delay ⋮ The basic reproduction number in some discrete-time epidemic models ⋮ A consistent discrete version of a nonautonomous SIRVS model ⋮ Permanence and extinction in a nonautonomous discrete SIRVS epidemic model with vaccination ⋮ Effect of the epidemiological heterogeneity on the outbreak outcomes ⋮ On time-discretized versions of the stochastic SIS epidemic model: a comparative analysis ⋮ Spatial patterns in a discrete-time SIS patch model ⋮ The Basic Reproduction Number of Infectious Diseases: Computation and Estimation Using Compartmental Epidemic Models ⋮ The concept of R_o in epidemic theory ⋮ Subcritical endemic steady states in mathematical models for animal infections with incomplete immunity ⋮ Modelling density-dependent resistance in insect-pathogen interactions ⋮ Reproduction numbers for discrete-time epidemic models with arbitrary stage distributions

Cites Work

• On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
• The effects of averaging on the basic reproduction ratio
• Persistence of an infectious disease in a subdivided population
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The computation of \(R_ 0\) for discrete-time epidemic models with dynamic heterogeneity