Un modelo de ecuaciones diferenciales con retardo para el estudio de una ETS con poblaciones hetero, homo y bisexuales

An SI type epidemiological mathematical model is proposed (which divides the population into Susceptible and Infected) for the study of the dynamics of a sexually transmitted disease (STD), considering the population by sex and sexual orientation, takinginto account the incubation period that must elapse for an infected susceptible individual to become an infected individual whocan spread the disease. To do this, a system of delay differential equations (DDE) will be used, on which the matrix of the nextgeneration is calculated for the subsequent calculation, by numerical methods, of the basic reproductive number. Finally, numericalsimulations are carried out using the free software R.

Publication Details

Journal
Dialnet (Universidad de la Rioja)
Published
2025-01-01
Primary Topic
Fish Biology and Ecology Studies
Type
article
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article

Un modelo de ecuaciones diferenciales con retardo para el estudio de una ETS con poblaciones hetero, homo y bisexuales

Dialnet (Universidad de la Rioja)
Fish Biology and Ecology Studies
article

Un modelo de ecuaciones diferenciales con retardo para el estudio de una ETS con poblaciones hetero, homo y bisexuales

article en

Abstract

An SI type epidemiological mathematical model is proposed (which divides the population into Susceptible and Infected) for the study of the dynamics of a sexually transmitted disease (STD), considering the population by sex and sexual orientation, takinginto account the incubation period that must elapse for an infected susceptible individual to become an infected individual whocan spread the disease. To do this, a system of delay differential equations (DDE) will be used, on which the matrix of the nextgeneration is calculated for the subsequent calculation, by numerical methods, of the basic reproductive number. Finally, numericalsimulations are carried out using the free software R.

Dialnet (Universidad de la Rioja)
Good health and well-being
Openalex Percentile: Top 45%
Fish Biology and Ecology Studies
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Un modelo de ecuaciones diferenciales con retardo para el estudio de una ETS con poblaciones hetero, homo y bisexuales · Dialnet (Universidad de la Rioja) (2025) | TGRS Research Map | TGRS