Stochastic effects on endemic infection levels of disseminating versus local contacts

DOI10.1016/S0025-5564(02)00124-4zbMath1021.92035OpenAlexW2099176480WikidataQ43754200 ScholiaQ43754200MaRDI QIDQ1867109

James S. Koopman, Stephen E. Chick, Christopher S. Riolo, Carl P. Simon, Geoffrey M. Jacquez

Publication date: 2 April 2003

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

Full work available at URL: https://doi.org/10.1016/s0025-5564(02)00124-4

zbMATH Keywords

nonlinear modelsinfectioncomputer modelsepidemiologic methods

Mathematics Subject Classification ID

Related Items (6)

Spatiotemporal dynamics of viral hepatitis A in Italy ⋮ Modeling antibiotic resistance in hospitals: the impact of minimizing treatment duration ⋮ Spatial spread of tuberculosis through neighborhoods segregated by socioeconomic position: a stochastic automata model ⋮ On the time to extinction for a two-type version of Bartlett's epidemic model ⋮ Combinatorial decomposition of an outbreak signature ⋮ A general model for stochastic SIR epidemics with two levels of mixing

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
• Stability of the endemic equilibrium in epidemic models with subpopulations
• On the quasi-stationary distribution of the Ross malaria model
• A deterministic model for gonorrhea in a nonhomogeneous population
• Modeling and analyzing HIV transmission: The effect of contact patterns
• The effect of pair formation and variable infectivity on the spread of an infection without recovery
• The deterministic limit of infectious disease models with dynamic partners
• The stochastic SI model with recruitment and deaths. I: Comparison with the closed SIS model
• Epidemics with two levels of mixing
• Effect of variability in infection period on the persistence and spatial spread of infectious diseases
• Analysis and simulation of a stochastic, discrete-individual model of STD transmission with partnership concurrency
• Eradication of infectious diseases in heterogeneous populations
• Susceptible-infected-removed epidemic models with dynamic partnerships
• The effect of household distribution on transmission and control of highly infectious diseases
• The effects of population heterogeneity on disease invasion
• A core group model for disease transmission
• A structured epidemic model incorporating geographic mobility among regions
• The impact of sexual mixing patterns on the spread of AIDS
• Reproduction Numbers and the Stability of Equilibria of SI Models for Heterogeneous Populations
• The quasi-stationary distribution of the closed endemic sis model
• Collective dynamics of ‘small-world’ networks
• Limit theorems for sequences of jump Markov processes approximating ordinary differential processes

This page was built for publication: Stochastic effects on endemic infection levels of disseminating versus local contacts