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 Citations (Scopus)

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

Fingerprint

Logistic Model
Epidemic Model
logit analysis
Mortality
Logistics
demographic statistics
Logistic Models
Demography
sexually transmitted diseases
gender
Heterosexuality
disease transmission
Growth
Sexually Transmitted Diseases
Population Density
Sexual Behavior
Population
Logistic Growth
Curbs
Structured Populations

Keywords

  • Isolation
  • Population models
  • Sexually transmitted diseases

ASJC Scopus subject areas

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

Cite this

The role of sexually abstained groups in two-sex demographic and epidemic logistic models with non-linear mortality. / Maxin, Daniel; Milner, Fabio.

In: Journal of Theoretical Biology, Vol. 258, No. 3, 07.06.2009, p. 389-402.

Research output: Contribution to journalArticle

@article{865d2313e22e418ea4cf1d0b08339714,
title = "The role of sexually abstained groups in two-sex demographic and epidemic logistic models with non-linear mortality",
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.",
keywords = "Isolation, Population models, Sexually transmitted diseases",
author = "Daniel Maxin and Fabio Milner",
year = "2009",
month = "6",
day = "7",
doi = "10.1016/j.jtbi.2008.08.027",
language = "English (US)",
volume = "258",
pages = "389--402",
journal = "Journal of Theoretical Biology",
issn = "0022-5193",
publisher = "Academic Press Inc.",
number = "3",

}

TY - JOUR

T1 - The role of sexually abstained groups in two-sex demographic and epidemic logistic models with non-linear mortality

AU - Maxin, Daniel

AU - Milner, Fabio

PY - 2009/6/7

Y1 - 2009/6/7

N2 - 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.

AB - 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.

KW - Isolation

KW - Population models

KW - Sexually transmitted diseases

UR - http://www.scopus.com/inward/record.url?scp=67349249100&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=67349249100&partnerID=8YFLogxK

U2 - 10.1016/j.jtbi.2008.08.027

DO - 10.1016/j.jtbi.2008.08.027

M3 - Article

VL - 258

SP - 389

EP - 402

JO - Journal of Theoretical Biology

JF - Journal of Theoretical Biology

SN - 0022-5193

IS - 3

ER -