2015
DOI: 10.1119/1.4917164
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Computational model of a vector-mediated epidemic

Abstract: We discuss a lattice model of vector-mediated transmission of a disease to illustrate how simulations can be applied in epidemiology. The population consists of two species, human hosts and vectors, which contract the disease from one another. Hosts are sedentary, while vectors (mosquitoes) diffuse in space. Examples of such diseases are malaria, dengue fever, and Pierce's disease in vineyards. The model exhibits a phase transition between an absorbing (infection free) phase and an active one as parameters suc… Show more

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Cited by 6 publications
(4 citation statements)
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“…The SIR model exhibits a phase transition between non-spreading (NS) and spreading (S) regions7. Later, a variety of other models8910111213 were developed to cope with different specific epidemic conditions. Notable are the so-called contact models, particularly the Susceptible-Infected-Susceptible (SIS) model, whose critical properties have been widely analysed8910111415.…”
Section: Lattice Models For Epidemics and Critical Behaviormentioning
confidence: 99%
See 1 more Smart Citation
“…The SIR model exhibits a phase transition between non-spreading (NS) and spreading (S) regions7. Later, a variety of other models8910111213 were developed to cope with different specific epidemic conditions. Notable are the so-called contact models, particularly the Susceptible-Infected-Susceptible (SIS) model, whose critical properties have been widely analysed8910111415.…”
Section: Lattice Models For Epidemics and Critical Behaviormentioning
confidence: 99%
“…Later, a variety of other models 8 9 10 11 12 13 were developed to cope with different specific epidemic conditions. Notable are the so-called contact models, particularly the Susceptible-Infected-Susceptible (SIS) model, whose critical properties have been widely analysed 8 9 10 11 14 15 . Although the ODE-based approach can predict some relevant results, it does not capture the spatial structures of outbreaks.…”
Section: Lattice Models For Epidemics and Critical Behaviormentioning
confidence: 99%
“…Complex networks describe a wide range of systems in nature and society. An important aim of network modeling is to incorporate in the interaction among individuals the already known characteristics of epidemics [1] , [2] , [3] , [4] , [5] . Each new model scientifically proposed for the study of an epidemic process is an attempt to approach the reality of this epidemy or one of its characteristics through a combination between the proposed model and the own network where the epidemy is developing.…”
Section: Introductionmentioning
confidence: 99%
“…In recent years, the network epidemiological approach has become an important tool in analyzing epidemiological data to develop control and intervention measures [ 19 , 20 ]. This approach is accepted in medical epidemiology, mathematical biology, and research into predicting the potential spread of diseases and epidemics [ 21 , 22 ]. More recently, it has become valuable to network science, and, in this context, in showing the relationship between disease and the organisms most likely to be involved.…”
Section: Introductionmentioning
confidence: 99%