{"title":"Susceptible-Exposed-Infectious Model Using Markov Chains","authors":"F. M. Omar, M. A. Sohaly, H. El-Metwally","doi":"10.1007/s44198-024-00167-3","DOIUrl":null,"url":null,"abstract":"<p>In the present work we introduced and analyzed the most basic transmission SEI (susceptible-exposed-infective) model for a directly transmitted infectious disease caused by Coronavirus disease 2019 (COVID-19). The SEI model is modeling as a Markov chain and we computed a closed form formula of the mean first passage times (MFPT’s) vector arising from non-homogeneous Markov chain random walk (NHMC-RW) on the non-negative integers. Some particular cases, which lead to a relationship between the elements of the MFPT’s vectors. An efficient algorithm applied on mathematica program for computing MFPT’s vector of the NHMC-RW is given.</p>","PeriodicalId":48904,"journal":{"name":"Journal of Nonlinear Mathematical Physics","volume":null,"pages":null},"PeriodicalIF":1.4000,"publicationDate":"2024-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Nonlinear Mathematical Physics","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1007/s44198-024-00167-3","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
In the present work we introduced and analyzed the most basic transmission SEI (susceptible-exposed-infective) model for a directly transmitted infectious disease caused by Coronavirus disease 2019 (COVID-19). The SEI model is modeling as a Markov chain and we computed a closed form formula of the mean first passage times (MFPT’s) vector arising from non-homogeneous Markov chain random walk (NHMC-RW) on the non-negative integers. Some particular cases, which lead to a relationship between the elements of the MFPT’s vectors. An efficient algorithm applied on mathematica program for computing MFPT’s vector of the NHMC-RW is given.
期刊介绍:
Journal of Nonlinear Mathematical Physics (JNMP) publishes research papers on fundamental mathematical and computational methods in mathematical physics in the form of Letters, Articles, and Review Articles.
Journal of Nonlinear Mathematical Physics is a mathematical journal devoted to the publication of research papers concerned with the description, solution, and applications of nonlinear problems in physics and mathematics.
The main subjects are:
-Nonlinear Equations of Mathematical Physics-
Quantum Algebras and Integrability-
Discrete Integrable Systems and Discrete Geometry-
Applications of Lie Group Theory and Lie Algebras-
Non-Commutative Geometry-
Super Geometry and Super Integrable System-
Integrability and Nonintegrability, Painleve Analysis-
Inverse Scattering Method-
Geometry of Soliton Equations and Applications of Twistor Theory-
Classical and Quantum Many Body Problems-
Deformation and Geometric Quantization-
Instanton, Monopoles and Gauge Theory-
Differential Geometry and Mathematical Physics