Critical behavior of a vector-mediated propagation of an epidemic process

Macnadbay, E.; Bezerra, Roberto Messias; Fulco, U. L.; Lyra, M. L.; Argolo, C.

doi:10.1016/j.physa.2004.04.085

Cited by 15 publications

(11 citation statements)

References 12 publications

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“…The influence of particle diffusion in the critical behavior of absorbing state phase transitions has been a subject of growing interest, since analytical and numerical studies showed that diffusion is an important mechanism that can influence the critical behavior [5][6][7][8][9][10][11][12][13][14]. In particular, strong deviations from the directed percolation universality class have been recently reported for models with coupled diffusive and non-diffusive fields [15][16][17][18].…”

Section: Introductionmentioning

confidence: 99%

Finite-size scaling analysis of the critical behavior of a general epidemic process in 2D

Argolo

Quintino

Gleria

et al. 2011

Physica A: Statistical Mechanics and its Applications

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a b s t r a c tWe investigate the critical behavior of a stochastic lattice model describing a General Epidemic Process. By means of a Monte Carlo procedure, we simulate the model on a regular square lattice and follow the spreading of an epidemic process with immunization. A finite size scaling analysis is employed to determine the critical point as well as some critical exponents. We show that the usual scaling analysis of the order parameter moment ratio does not provide an accurate estimate of the critical point. Precise estimates of the critical quantities are obtained from data of the order parameter variation rate and its fluctuations. Our numerical results corroborate that this model belongs to the dynamic isotropic percolation universality class. We also check the validity of the hyperscaling relation and present data collapse curves which reinforce the accuracy of the estimated critical parameters.

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Section: Introductionmentioning

confidence: 99%

Finite-size scaling analysis of the critical behavior of a general epidemic process in 2D

Argolo

Quintino

Gleria

et al. 2011

Physica A: Statistical Mechanics and its Applications

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“…In [Fulco et al, 2001] a model of an epidemic process in a population of diffusive individuals, through a contactlike reaction-diffusion decay process of two species was considered; a process mediated by a density of diffusive individuals which can infect a static population was the subject of [Macnadbay et al, 2005] and a diffusion-limited reaction model consisting of two interacting species that simulates the spreading of an epidemiological process in a diffusive population mediated by a static vector was studied in [da Costa et al, 2007]. The dynamic transition of the model considered in [Macnadbay et al, 2004] does not belong to the usual DP class, in agreement with the fact that diffusion is an important mechanism that can influence the critical behavior of absorbing states. In [da Costa et al, 2007] it was found that the critical behavior has a dynamical phase transition from an absorbing to a stationary state with part of the population in the active state, with large deviations from the DP class.…”

Section: Introductionmentioning

confidence: 99%

Critical Behavior and Threshold of Coexistence of a Predator–prey Stochastic Model in a 2d Lattice

Argolo

Otaviano

Gleria

et al. 2010

Int. J. Bifurcation Chaos

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We investigate the critical behavior of a stochastic lattice model describing a predator–prey system. By means of Monte Carlo procedure we simulate the model defined on a regular square lattice and determine the threshold of species coexistence, that is, the critical phase boundaries related to the transition between an active state, where both species coexist and an absorbing state where one of the species is extinct. A finite size scaling analysis is employed to determine the order parameter, order parameter fluctuations, correlation length and the critical exponents. Our numerical results for the critical exponents agree with those of the directed percolation universality class. We also check the validity of the hyperscaling relation and present the data collapse curves.

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“…Our model is closely related to one defined by Macnadbay et al 5 These authors use computer simulations to study the critical behavior of an epidemic in which the vector population is allowed to diffuse on the lattice, infecting a static population upon contact. Thus, in their model, individuals become infected instantaneously.…”

Section: Modeling a Vector-borne Diseasementioning

confidence: 99%

Computational model of a vector-mediated epidemic

Dickman

2015

American Journal of Physics

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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 such as infection rates and vector density are varied. V

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Critical behavior of a vector-mediated propagation of an epidemic process

Cited by 15 publications

References 12 publications

Finite-size scaling analysis of the critical behavior of a general epidemic process in 2D

Finite-size scaling analysis of the critical behavior of a general epidemic process in 2D

Critical Behavior and Threshold of Coexistence of a Predator–prey Stochastic Model in a 2d Lattice

Computational model of a vector-mediated epidemic

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