The role of sexually abstained groups in two-sex demographic and epidemic logistic models with non-linear mortality.
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.
Department of Mathematics and Computer Science, Valparaiso University, 1900 Chapel Drive, Valparaiso, IN 46383, USA. Daniel.Maxin@valpo.edu
Daniel
D
Maxin
Fabio Augusto
FA
Milner
D003710:Demography; D005260:Female; D005298:Fertility; D006801:Humans; D016015:Logistic Models; D008297:Male; D008954:Models, Biological; D009026:Mortality; D011157:Population Dynamics; D012737:Sex Factors; D012746:Sexual Abstinence; D012749:Sexually Transmitted Diseases / Q000453:epidemiology