Global stability results on an epidemiological model with a core group (a note on the paper 'local stability results on a model for typhoid fever with a core group')

Autor:	Jorge González-Guzmán
Rok vydání:	1994
Předmět:	Equilibrium point medicine.medical_specialty Group (mathematics) General Mathematics Core (group theory) medicine.disease Typhoid fever Epidemiology medicine Applied mathematics Fraction (mathematics) Constant (mathematics) Incidence (geometry) Mathematics
Zdroj:	Proyecciones (Antofagasta). 13:09-17
ISSN:	0717-6279 0716-0917
DOI:	10.22199/s07160917.1994.0001.00003
Popis:	A SIRS epidemiological model with two subpopulations and vital dynamics is analyzed. Both subpopulations sizes are considered constant by assuming that the birth and the death rates are equal. We consider the case where one subpopulation is a core, that is a very infectious small group, responsible for a big fraction of the incidence. For this case thresholds are determined and the main equilibrium points for the four dimensional system are shown to be globally stable by using a known Theorem of Markus on asymptotically autonomous systems. This system models the dynamics of typhoid fever , where the core is the group of food handlers . The results presented in this work are an extension of those presented in [3].
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::62ef3d0cbb594575619cd5053cfe263e https://doi.org/10.22199/s07160917.1994.0001.00003 Zobrazit plný text záznamu