Local stability results on a model for typhoid fever with a core group

Autor:	Jorge González-Guzmán, Betsabé González-Yáñez
Rok vydání:	1993
Předmět:	Equilibrium point education.field_of_study Group (mathematics) General Mathematics Mortality rate Population medicine.disease Typhoid fever medicine Applied mathematics Fraction (mathematics) education Constant (mathematics) Incidence (geometry) Mathematics
Zdroj:	Proyecciones (Antofagasta). 12:161-169
ISSN:	0717-6279 0716-0917
DOI:	10.22199/s07160917.1993.0002.00007
Popis:	A SIRS epidemiological model with two subpopulation and vital dynamics is analized. Both subpopulations are considered constant by assuming that the birth and the death rate are equal. We analize 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 a threshold is determined and the corresponding equilibrium points for the four dimensional system are shown to be locally stable by means of the classical Liapunov theorem. This system models the dynamics of typhoid fever, where the core is the group of food manipulators. Computer simulation are used to estimate the effect of vaccination on the population.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::1c4ccf148f6e593a80e70ccc9b38329b https://doi.org/10.22199/s07160917.1993.0002.00007 Zobrazit plný text záznamu