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.
Maxin
Daniel
D
Department of Mathematics and Computer Science, Valparaiso University, 1900 Chapel Drive, Valparaiso, IN 46383, USA. Daniel.Maxin@valpo.edu
Milner
Fabio Augusto
FA
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