2010
DOI: 10.1016/j.apm.2009.12.005
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Global analysis of an SEIR model with varying population size and vaccination

Abstract: a b s t r a c tAn SEIR model with varying population size and vaccination strategy is investigated. Three threshold parameters R 0 ; b R 0 ; R 0 and e R 0 are obtained to govern the disease eradication, which involve the total number of infectives and their proportion in the population. Parameter conditions on the uniform persistence, the global stability of the disease -''free" equilibrium and the ''endemic" equilibrium are derived. The global dynamics of model in population size are studied. The correlations… Show more

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Cited by 127 publications
(109 citation statements)
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“…Systems Engineering Society of China and Springer-Verlag Berlin Heidelberg 2015 J Syst Sci Syst Eng Most mathematic models for influenza diffusion analysis are compartmental models (Mishra and Saini 2007, Sun and Hsieh 2010, Li et al 1999, Zhang et al 2006, Zhang and Ma 2003. In these models, the total population is divided into several classes and each class of individuals is closed into a compartment.…”
Section: Introductionmentioning
confidence: 99%
“…Systems Engineering Society of China and Springer-Verlag Berlin Heidelberg 2015 J Syst Sci Syst Eng Most mathematic models for influenza diffusion analysis are compartmental models (Mishra and Saini 2007, Sun and Hsieh 2010, Li et al 1999, Zhang et al 2006, Zhang and Ma 2003. In these models, the total population is divided into several classes and each class of individuals is closed into a compartment.…”
Section: Introductionmentioning
confidence: 99%
“…The combination of SEIRD and SEIAHR model is designed as SELMAHRD. In all the models discussed vaccination rate is taken into account but in SVEIR [17] model it refers to the possible states of Susceptible, Vaccination, Exposed, Infected and Recovered where the vaccinated people directly enter into recovered compartment…”
Section: Related Workmentioning
confidence: 99%
“…These include computational viruses, computer worms, Trojans, Rootkits, spyware, logic bombs and so on [1,2]. Dissemination of computer viruses to other connected systems bears a high resemblance to the behavior of biological viruses [3][4][5]; therefore, various models of computer virus propagation have been proposed by using an epidemiological analog [6][7][8][9].…”
Section: Introductionmentioning
confidence: 99%