Modeling Dynamics of Spread of Prostitution due to Poverty in the Society

Abstract

Women prostitution isbeingpracticedsincefromancienttimes.Povertyis oneofthemajormotivatorforwomentobecomeprostitutes.Itisconsidered asinfectiousdiseasetothesociety.Hereadeterministicmodelhasformulatedand itexhibitstwoequilibriumpointsnamelyprostitutionfreeequilibriumpointand prostitution presentequilibriumpointandalsoanalyzedtheirstability locally. The basic reproduction number R₀has computed. Further, this deterministic modelhasextendedtostochasticdifferentialequation. Finally wecomparedboththedeterministicandstochasticmodelsusingnumericalsimulation.