Reproduction numbers and thresholds in stochastic epidemic models. I: Homogeneous populations
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Publication:1183915
DOI10.1016/0025-5564(91)90003-2zbMath0739.92016OpenAlexW2044823418WikidataQ52436459 ScholiaQ52436459MaRDI QIDQ1183915
John A. Jacquez, Philip D. O'Neill
Publication date: 28 June 1992
Published in: Mathematical Biosciences (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/2027.42/28998
basic reproduction numberthreshold resultscomparisonsstochastic modeldeterministic modelprobability of extinctionendemic quasi-equilibriumhomogeneous SI model with recruitment
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Cites Work
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- Epidemiological models for heterogeneous populations: Proportionate mixing, parameter estimation, and immunization programs
- Population systems with (non)-extensive interaction rates
- A methodological study of a stochastic model of an AIDS epidemic
- Assessing the variability of stochastic epidemics
- Final size distributions for epidemics
- Qualitative analyses of communicable disease models
- Modeling and analyzing HIV transmission: The effect of contact patterns
- Directly Transmitted Infections Diseases: Control by Vaccination
- Epidemiology and genetics in the coevolution of parasites and hosts
- The threshold behaviour of epidemic models
- Deterministic and stochastic epidemics with several kinds of susceptibles
- Reproduction Numbers and the Stability of Equilibria of SI Models for Heterogeneous Populations
- The duration of the closed stochastic epidemic
- A Perturbation Method for the Stochastic Recurrent Epidemic
- The transition probabilities of the general stochastic epidemic model
- The maximum size of a closed epidemic
- Mathematical Modelling of the Transmission Dynamics of HIV Infection and AIDS: A Review
- Factorial moments and probabilities for the general stochastic epidemic
- A solution of the general stochastic epidemic
- On a partial differential equation of epidemic theory. I
- On a stochastic model of an epidemic
- A recursion theorem on solving differential-difference equations and applications to some stochastic processes
