Mathematical modeling of rape under the influence of human disturbance and noise

Povzetek

To leverage rape decline, a guide from epidemiological modeling was used to develop a new deterministic model for the dynamics of rape during covid-19 and the world at large. This was used to qualitatively assess the role of convictions and loss of immunity to rape on the transmission process of rape in a society. This study showed that loss of immunity to rape and its rate of previous convicted and jailed rape culprit individuals regress to being susceptible to rape cases induced a backward bifurcation when associated to rape reproduction number (Ref <1) is less than one. This means that imprisonment of the convicted rape individuals will help to eradicate rape out from the entire world even at covid- 19 pandemic. The study showcased that if the cause of backward bifurcation is removed, the rape-free equilibrium (Re) of the model is globally asymptotically stable when the reproduction number is less than one. This study also showed that the rape endemic equilibrium (Ree) is locally-asymptotically stable when the reproduction number is greater than one (Ref >1). The analytical solutions suggest that Policymakers should provide policies that would check one time convicted and jailed individuals from being susceptible to rape after their released from prison. Self-recovered individuals should be assisted and engaged with employment as to avoid the stigmatization of rape.