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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...
Steady State Solution and Stability of an Age-Structured MSIQR Epidemic Model
Epidemic Model Quarantine Age-Structure Basic Reproductive Number Endemic Equilibrium Stability
2013/1/29
The importance of epidemiology in our life has stimulated researchers to extend the classic Susceptibles-Infectives-Removed (SIR) model to sophisticated models by including more factors in order to gi...
Limit theorems for an epidemic model on the complete graph
Epidemic model random walk complete graph Markov chains Law of Large Numbers Central Limit Theorem
2009/6/12
We study the following random walks system on the complete graph with n vertices.At time zero,there is a number of active and inactive particles living on the vertices.Active particles move as continu...
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...