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Backwards bifurcations and catastrophe in simple models of fatal diseases
ArticleAbstract:Palabras claves:Autores:Carlos Castillo-Chávez, Dushoff J., Huang W.Fuentes:scopusAn 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 basic result on the integral for birth-death Markov processes
ArticleAbstract: In this paper a regenerative argument is used to derive an expression for the expectation of the intPalabras claves:Absorbing Markov processes, Birth-death processes, Integrals of Markov processes, Queuing theoryAutores:Carlos Castillo-Chávez, Herńandez-Súarez C.M.Fuentes:scopusA deterministic methodology for estimation of parameters in dynamic markov chain models
ArticleAbstract: A method for estimating parameters in dynamic stochastic (Markov Chain) models based on Kurtz's limiPalabras claves:Inverse problems, Large Population Sample Path Approximations, Markov Chain Stochastic Models, Parameter estimation, Parameter SelectionAutores:Banks H.T., Carlos Castillo-Chávez, Chowell-Puente G., Ortiz A.R., Wang X.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:scopusCritical response time (time available to implement effective measures for epidemic control): Model building and evaluation
ArticleAbstract: The time available to implement successful control measures against epidemics was estimated. CriticaPalabras claves:Autores:Aparicio J.P., Carlos Castillo-Chávez, Hoogesteijn A.L., Mohammed H.O., Rivas A.L., Schwager S.J., Tennenbaum S.E.Fuentes:scopusGlobal stability of an age-structure model for TB and its applications to optimal vaccination strategies
ArticleAbstract: This article focuses on the study of an age-structure model for the disease transmission dynamics ofPalabras claves:Autores:Carlos Castillo-Chávez, Feng Z.Fuentes:scopusDynamics of a diffusion reaction prey–predator model with delay in prey: Effects of delay and spatial components
ArticleAbstract: We study the complex dynamics of a Monod–Haldane-type predator–prey interaction model that incorporaPalabras claves:Diffusion–reaction, Hopf bifurcation, Predator–prey system, time delay, Turing instabilityAutores:Carlos Castillo-Chávez, Kang Y., Rao F.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:scopusDynamics of population communities with prey migrations and Allee effects: A bifurcation approach
ArticleAbstract: The population dynamics of predator-prey systems in the presence of patch-specific predators are expPalabras claves:Allee effect, Bifurcations, Dispersal, Population community dynamicsAutores:Berezovskaya F., Carlos Castillo-Chávez, Song B., Wirkus S.Fuentes:scopus