Mathematical model of the effects of government intervention and rehabilitation of prostitution

Abstract

In the United States, prostitution is considered illegal in all but one state; Nevada allows some legal activities in exchange for substantial guidelines. In 2010, approximately 43,600 females were arrested for prostitution. Numerous intervention programs were established in order to obstruct the lifestyle of a prostitute (PRP, Project ROSE, etc.). There are many documentations and programs that share their forethought on prostitution; however, few target prostitution directly. To determine the dynamics of prostitution, this paper constructs a four-class compartmental model that focuses on the effectiveness of government intervention and rehabilitation of prostitutes mathematically. The basic reproductive number, [Formula: see text], helps to discover the threshold values for the dynamics of prostitution to become both prevalent or absent in society. This paper predominately observes government intervention to curtail a prostitution prevalent society. Various parameters and variables help to define and indicate the dynamics of prostitution to construct viable simulations. Successful prostitution interaction prevention deemed essential in prostitution prevention; however, government intervention corresponding with successful rehabilitation competitively challenges prostitution interaction prevention in reducing basic reproductive values.

Peer influence and sexual debut : A mathematical approach

“…Young people particularly adolescents who are at their critical stage of development being raised by single parents fail to get: (i) enough discipline and basic family needs mostly provided by fathers in case of adolescents staying with the mother as the only parent, (ii) adequate nurturing and emotional support mostly provided by mothers in the case of adolescents staying with the father as the only parent [13]. In this manuscript, ideas borrowed from epidemiological models are applied to study the dynamics of social and behavioral processes as done in some previous studies [14,15,16,17,18,38]. This manuscript is an attempt to understand the role of prostitution and peer influence on sexual debut from a mathematical framework.…”