Calculation of transition probabilities in the birth and death Markov process in the epidemic model

DOI10.1016/j.mcm.2011.09.006zbMath1255.60128OpenAlexW2026530380MaRDI QIDQ1931000

Changiz Eslahchi, Fateme Movahedi

Publication date: 24 January 2013

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2011.09.006

zbMATH Keywords

Markov modeltransition probabilitymatrix method

Mathematics Subject Classification ID

Epidemiology (92D30) Applications of continuous-time Markov processes on discrete state spaces (60J28)

Uses Software

• SAS
• etm
• SAS macro MARKOV

Cites Work

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• Stability of periodic solutions for an SIS model with pulse vaccination
• Hierarchical least-squares based iterative identification for multivariable systems with moving average noises
• Hierarchical least squares algorithms for single-input multiple-output systems based on the auxiliary model
• Auxiliary model based multi-innovation algorithms for multivariable nonlinear systems
• Finite iterative algorithms for the reflexive and anti-reflexive solutions of the matrix equation \(A_1X_1B_1+A_2X_2B_2=C\)
• Weighted least squares solutions to general coupled Sylvester matrix equations
• Comparison of deterministic and stochastic SIS and SIR models in discrete time
• Iterative least-squares solutions of coupled sylvester matrix equations
• The Mathematics of Infectious Diseases
• Influence of Preconditioning and Blocking on Accuracy in Solving Markovian Models
• On Iterative Solutions of General Coupled Matrix Equations
• Contact network epidemiology: Bond percolation applied to infectious disease prediction and control