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SIR model with local and global infective contacts: A deterministic approach and applications
(Academic Press Inc Elsevier Science, 2016-12)
An epidemic model with births and deaths is considered on a two-dimensional L×L lattice. Each individual can have global infective contacts according to the standard susceptible–infected–recovered (SIR) model rules or local ...
SIR model on a dynamical network and the endemic state of an infectious disease
(Elsevier, 2015-04-18)
In this work we performed a numerical study of an epidemic model that mimics the endemic state of whooping cough in the pre-vaccine era. We considered a stochastic SIR model on dynamical networks that involve local and ...
Small-World Effect in Epidemics Using Cellular Automata
(TAYLOR & FRANCIS INC, 2010)
The spread of an infectious disease in a population involves interactions leading to an epidemic outbreak through a network of contacts. Extending on Watts and Strogatz (1998) who showed that short-distance connections ...
SIR dynamics with vaccination in a large configuration model
(Springer, 2021-07-24)
We consider an SIR model with vaccination strategy on a sparse configuration model random graph. We show the convergence of the system when the number of nodes grows and characterize the scaling limits. Then, we prove the ...
Estimation of the infestation rate in coffee berry borer, using a SIR modelEstimación de la tasa de infestación de la broca en un cafetal, utilizando un modelo tipo SIR
(Universidad de Costa Rica, Centro de Investigación en Matemática Pura y Aplicada (CIMPA), 2017)
Global dynamics of a differential-difference system: A case of Kermack-McKendrick SIR model with age-structured protection phase
(2020-01-01)
In this paper, we are concerned with an epidemic model of susceptible, infected and recovered (SIR) population dynamic by considering an age-structured phase of protection with limited duration, for instance due to vaccination ...