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CLT for the proportion of infected incividuals for an epidemic model on a complete graph
CLT epidemic model complete graph
2010/11/22
We prove a Central Limit Theorem for the proportion of infected individuals for an epidemic model by dealing with a discrete time system of simple random walks on a complete graph with n vertices. Ea...
Analysis of an Age Structured SEIRS Epidemic Model with Varying
age-structured SEIRS epidemic model vaccination varying total population size reproduction number stability optimal vaccination strategies
2007/12/11
This article focuses on the study of an age structuredSEIRS epidemic model with a vaccination program when the totalpopulation size is not kept at constant. We first give theexplicit expression of the...
An SIS Epidemic Model with Stage Structure and a Delay
SIS epidemic model threshold globally asymptotically stable
2007/12/10
A disease transmission model of SIS type with stage structure and a delay is formulated. Stability of the disease free equilibrium, and existence, uniqueness, and stability of an endemic equilibrium, ...
We study the application of a pulse vaccination strategy to eradicate the slowly progressing diseases that have infectiousness in latent period. We derive the condition in which eradication solution i...
EXISTENCE AND UNIQUENESS OF ENDEMIC STATES FOR THE AGE-STRUCTURED SEIR EPIDEMIC MODEL
Age structure positive endemic state S
2007/8/7
An age-structured SEIR epidemic model of a vertically as well as horizontallytransmitted disease is investigated. Threshold results for the existence of endemicstates are established for most cases. U...