Age and sex structured model for assessing the demographic impact of mother-to-child transmission of HIV/AIDS

Z Mukandavire, W Garira

Research output: Contribution to journalArticle

21 Citations (Scopus)

Abstract

Age and sex structured HIV/AIDS model with explicit incubation period is proposed as a system of delay differential equations. The model consists of two age groups that are children (0-14 years) and adults (15-49 years). Thus, the model considers both mother-to-child transmission (MTCT) and heterosexual transmission of HIV in a community. MTCT can occur prenatally, at labour and delivery or postnatally through breastfeeding. In the model, we consider the children age group as a one-sex formulation and divide the adult age group into a two-sex structure consisting of females and males. The important mathematical features of the model are analysed. The disease-free and endemic equilibria are found and their stabilities investigated. We use the Lyapunov functional approach to show the local stability of the endemic equilibrium. Qualitative analysis of the model including positivity and boundedness of solutions, and persistence are also presented. The basic reproductive number ([Symbol: see text](0)) for the model shows that the adult population is responsible for the spread HIV/AIDS epidemic, thus up-to-date developed HIV/AIDS models to assess intervention strategies have focused much on heterosexual transmission by the adult population and the children population has received little attention. We numerically analyse the HIV/AIDS model to assess the community benefits of using antiretroviral drugs in reducing MTCT and the effects of breastfeeding in settings with high HIV/AIDS prevalence ratio using demographic and epidemiological parameters for Zimbabwe.

Original languageEnglish
Pages (from-to)2061-2092
Number of pages32
JournalBulletin of Mathematical Biology
Volume69
Issue number6
Early online date24 Apr 2007
DOIs
Publication statusPublished - Aug 2007
Externally publishedYes

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acquired immune deficiency syndrome
human immunodeficiency virus
Acquired Immunodeficiency Syndrome
demographic statistics
Mothers
Demography
HIV
gender
Age Groups
Heterosexuality
Breast Feeding
breastfeeding
Endemic Equilibrium
breast feeding
Model
Population
Zimbabwe
Endemic Diseases
Basic Reproductive number
Children

Keywords

  • Adolescent
  • Adult
  • Age Factors
  • Breast Feeding
  • Child
  • Child, Preschool
  • Female
  • HIV Infections
  • Humans
  • Infant
  • Infant, Newborn
  • Infectious Disease Transmission, Vertical
  • Male
  • Mathematics
  • Middle Aged
  • Models, Biological
  • Pregnancy
  • Pregnancy Complications, Infectious
  • Sex Factors
  • Zimbabwe
  • Journal Article
  • Research Support, Non-U.S. Gov't

Cite this

Age and sex structured model for assessing the demographic impact of mother-to-child transmission of HIV/AIDS. / Mukandavire, Z; Garira, W.

In: Bulletin of Mathematical Biology, Vol. 69, No. 6, 08.2007, p. 2061-2092.

Research output: Contribution to journalArticle

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