The role of sexually abstained groups in two-sex demographic and epidemic logistic models with non-linear mortality

Daniel Maxin, Fabio Milner

Research output: Contribution to journalArticle

4 Scopus citations

Abstract

We describe several gender structured population models governed by logistic growth with non-linear death rate. We extend these models to include groups of people isolated from sexual activity and individuals exposed to a mild and long-lasting sexually transmitted disease, i.e. without disease-induced mortality and recovery. The transmission of the disease is modeled through formation/separation of heterosexual couples assuming that one infected individual automatically infects his/her partner. We are interested in how the non-reproductive class may change the demographic tendencies in the general population and whether they can curb the growth of the infected group while keeping the healthy one at acceptable levels. A comparison of the equilibrium total population size in the presence and the absence of the isolated class is also provided.

Original languageEnglish (US)
Pages (from-to)389-402
Number of pages14
JournalJournal of Theoretical Biology
Volume258
Issue number3
DOIs
StatePublished - Jun 7 2009

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Keywords

  • Isolation
  • Population models
  • Sexually transmitted diseases

ASJC Scopus subject areas

  • Statistics and Probability
  • Modeling and Simulation
  • Biochemistry, Genetics and Molecular Biology(all)
  • Immunology and Microbiology(all)
  • Agricultural and Biological Sciences(all)
  • Applied Mathematics

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