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A 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 core group model for disease transmission
ArticleAbstract: Models for sexually transmitted diseases generally assume that the size of the core group is fixed.Palabras claves:Autores:Carlos Castillo-Chávez, Hadeler K.Fuentes:scopusA schistosomiasis model with mating structure and time delay
ArticleAbstract: A system of homogeneous equations with a time delay is used to model the population dynamics of schiPalabras claves:Drug resistance, Homogeneous equations, Multiple strains, Schistosome mating structure, time delayAutores:Carlos Castillo-Chávez, Feng Z., Xu D.Fuentes:scopusAffinity in paired event probability
ArticleAbstract: It is shown that a general parametric functional generates the conditional and joint probabilities oPalabras claves:Autores:Blythe S.P., Busenberg S., Carlos Castillo-ChávezFuentes: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:scopusDispersal, disease and life-history evolution
ArticleAbstract: Discrete-time susceptible-infective-susceptible (S-I-S) disease transmission models can exhibit bistPalabras claves:bistability, Dispersal, Geometric growth, metapopulation, PatchesAutores:Carlos Castillo-Chávez, Yakubu A.A.Fuentes:scopusDynamics of SI models with both horizontal and vertical transmissions as well as Allee effects
ArticleAbstract: A general SI (Susceptible-Infected) epidemic system of host-parasite interactions operating under AlPalabras claves:Allee effects, Diffusive instability, Disease-driven extinction, Disease-free dynamics, Horizontal transmission, Vertical TransmissionAutores:Carlos Castillo-Chávez, Kang Y.Fuentes:scopusEffects of behavioral changes in a smallpox attack model
ArticleAbstract: The impact of individual and community behavioral changes in response to an outbreak of a disease wiPalabras claves:Behavioral changes, Isolation, mathematical model, Quarantine, Sensitivity Analysis, Smallpox, VaccinationAutores:Carlos Castillo-Chávez, Del Valle S.Y., Hethcote H.W., Hyman J.M.Fuentes:scopusDiseases with chronic stage in a population with varying size
ArticleAbstract: An epidemiological model of hepatitis C with a chronic infectious stage and variable population sizePalabras claves:Chronic stage, Difference scheme, Disease-age structure, HEPATITIS C, Numerical Methods, Sustained oscillations, Variable infectivity, Variable population sizeAutores:Carlos Castillo-Chávez, Martcheva M.Fuentes:scopusEstimation of the reproduction number of dengue fever from spatial epidemic data
ArticleAbstract: Dengue, a vector-borne disease, thrives in tropical and subtropical regions worldwide. A retrospectiPalabras claves:Colima, DENGUE, Dengue hemorrhagic fever, mathematical model, MÉXICO, Reproduction number, Spatial epidemic data, Stage progressionAutores:Alcazar-Velazco A., Carlos Castillo-Chávez, Chowell-Puente G., Diaz-Dueñas P., Fenimore P.W., Hyman J.M., Miller J.Fuentes:scopus