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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 ...
Global dynamics of a fractional order model for the transmission of HIV epidemic with optimal control
In this paper, a nonlinear fractional order epidemic model for HIV transmission is proposed and analyzed
by including extra compartment namely exposed class to the basic SIR epidemic model. Also, the infected
class of ...
Invited review: Epidemics on social networks
(Asociación Física Argentina, 2013-06)
Since its first formulations almost a century ago, mathematical models for disease spreading contributed to understand, evaluate and control the epidemic processes. They promoted a dramatic change in how epidemiologists ...
The role of short-term immigration on disease dynamics: an sir model with age-structure
(Centro de Investigaciones en Matemática Pura y Aplicada (CIMPA) y Escuela de Matemática, San José, Costa Rica., 2019)
Modeling pulse infectious events irrupting into a controlled context: A SIS disease with almost periodic parameters
(2012)
A new epidemic model of seasonal/cyclical pulse contagions of an infectious disease is introduced: a population with a controlled infectious disease is perturbed by a sequence of pulse infectious events arising from the ...
Climate-based descriptive models of dengue fever: The 2002 epidemic in Colima, Mexico
(2006-06)
Dengue is a public health problem on the rise in many tropical regions and affects approximately 100 million people every year worldwide. In this paper, the authors retrospectively assess the association between five ...