0000000001054788

AUTHOR

Gerardo Chowell

showing 2 related works from this author

Modelling the spatial-temporal progression of the 2009 A/H1N1 influenza pandemic in Chile

2016

A spatial-temporal transmission model of 2009 A/H1N1 pandemic influenza across Chile, a country that spans a large latitudinal range, is developed to characterize the spatial variation in peak timing of that pandemic as a function of local transmission rates, spatial connectivity assumptions for Chilean regions, and the putative location of introduction of the novel virus into the country. Specifically, a metapopulation SEIR (susceptible-exposed-infected-removed) compartmental model that tracks the transmission dynamics of influenza in 15 Chilean regions is calibrated. The model incorporates population mobility among neighboring regions and indirect mobility to and from other regions via th…

Geographic mobilityUrban PopulationRange (biology)MetapopulationRisk AssessmentStability (probability)law.inventionInfluenza A Virus H1N1 SubtypeSpatio-Temporal AnalysislawInfluenza HumanPandemicHumansChilePandemicsIncidenceApplied Mathematicsvirus diseasesGeneral MedicineHospitalizationComputational MathematicsTransmission (mechanics)GeographyPopulation SurveillanceModeling and SimulationSpatial variabilityGeneral Agricultural and Biological SciencesScale (map)CartographyDemographyMathematical Biosciences and Engineering
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Numerical solution of a spatio-temporal gender-structured model for hantavirus infection in rodents.

2017

In this article we describe the transmission dynamics of hantavirus in rodents using a spatio-temporal susceptible-exposed-infective-recovered (SEIR) compartmental model that distinguishes between male and female subpopulations [L.J.S. Allen, R.K. McCormack and C.B. Jonsson, Bull. Math. Biol. 68 (2006), 511--524]. Both subpopulations are assumed to differ in their movement with respect to local variations in the densities of their own and the opposite gender group. Three alternative models for the movement of the male individuals are examined. In some cases the movement is not only directed by the gradient of a density (as in the standard diffusive case), but also by a non-local convolution…

MaleHantavirus InfectionsPopulation DynamicsContext (language use)Rodentia010103 numerical & computational mathematics01 natural sciencesModels BiologicalConvolutionSex FactorsSpatio-Temporal AnalysisOscillometryApplied mathematicsAnimals0101 mathematicsStructured modelEcosystemMathematicsPartial differential equationFourier AnalysisApplied MathematicsNumerical analysisSpatio-Temporal AnalysisGeneral Medicine010101 applied mathematicsComputational MathematicsTime steppingModeling and SimulationFemaleSeasonsGeneral Agricultural and Biological SciencesHantavirus InfectionAlgorithmsMathematical biosciences and engineering : MBE
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