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An application of queuing theory to sis and seis epidemic models
ArticleAbstract: In this work we consider every individual of a population to be a server whose state can be either bPalabras claves:Queuing theory, R0; basic reproductive number, SIS; SEIS, Stochastic epidemic modelsAutores:Carlos Castillo-Chávez, Herńandez-Cuevas K., Herńandez-Súarez C.M., Ĺopez O.M.Fuentes:scopusA Two-strain TB model with multiple latent stages
ArticleAbstract: A two-strain tuberculosis (TB) transmission model incorporating antibiotic-generated TB resistant stPalabras claves:Epidemiological models, Equilibria, Gamma distribution, Reproduction number, Resistant tuberculosis, stability, Tuberculosis modelsAutores:Carlos Castillo-Chávez, Jabbari A., Kheiri H., Nazari F., Song B.Fuentes:scopusA cost-based comparison of quarantine strategies for new emerging diseases
ArticleAbstract: A classical epidemiological framework is used to provide a preliminary cost analysis of the effectsPalabras claves:Contact tracing, Cost-effectiveness analysis, Isolation, Quarantine, Reproductive number, SARSAutores:Carlos Castillo-Chávez, Martcheva M., Mubayi A., Zaleta C.K.Fuentes:scopusA note on the use of influenza vaccination strategies when supply is limited
ArticleAbstract: The 2009 A (H1N1) influenza pandemic was rather atypical. It began in North America at the start ofPalabras claves:Influenza pandemic, Isoperimetric constraint, Optimal Control, VaccineAutores:Carlos Castillo-Chávez, Lee S., Morales R.Fuentes:scopusA note on the use of optimal control on a discrete time model of influenza dynamics
ArticleAbstract: A discrete time Susceptible - Asymptomatic - Infectious - Treated - Recovered (SAITR) model is introPalabras claves:Antiviral treatment, influenza, Optimal Control, Social distancingAutores:Carlos Castillo-Chávez, González-Parra P., Lee S., Velazquez L.Fuentes:scopusEpidemic spread of influenza viruses: The impact of transient populations on disease dynamics
ArticleAbstract: The recent H1N1 ("swine u") pandemic and recent H5N1 ("avian u") outbreaks have brought increased atPalabras claves:Avian Influenza, Epidemic Models, Epidemiological Time Scales, Mixing Probabilities, Singular perturbation theoryAutores:Carlos Castillo-Chávez, Ríos-Soto K.R., Song B.Fuentes:scopusDynamics of a stochastic delayed Harrison-type predation model: Effects of delay and stochastic components
ArticleAbstract: This paper investigates the complex dynamics of a Harrison-type predator-prey model that incorporatiPalabras claves:Hopf bifurcation, Prey-predator model, stability, Stochastic perturbations, time delayAutores:Carlos Castillo-Chávez, Kang Y., Rao F.Fuentes:scopusDifferential impact of sickle cell trait on symptomatic and asymptomatic malaria
ArticleAbstract: Individuals who carry the sickle cell trait (S-gene) have a greatly reduced risk of experiencing symPalabras claves:Asymptomatic, MALARIA, S-gene, Sickle-cell, symptomaticAutores:Carlos Castillo-Chávez, Feng Z., Shim E.Fuentes:scopusDiscrete epidemic models
ArticleAbstract: The mathematical theory of single outbreak epidemic models really began with the work of Kermack andPalabras claves:Continuous time epidemic models, Discrete epidemic models, Epidemic, Final size, Single outbreakAutores:Brauer F., Carlos Castillo-Chávez, Feng Z.Fuentes:scopusEstimation of invasive pneumococcal disease dynamics parameters and the impact of conjugate vaccination in Australia
ArticleAbstract: Pneumococcal diseases, or infections from the etiological agent Streptococcus pneumonias, have longPalabras claves:Inverse problems, Pneumococcal infection dynamics, Population model, Statistical methodsAutores:Banks H.T., Carlos Castillo-Chávez, Sutton K.L.Fuentes:scopus