Abstract

A DETERMINISTIC MATHEMATICAL MODEL IN UNDERSTANDING DRUG-ABUSE RELATED CRIMES IN CONTEMPORARY SOCIETY FOR PREVENTION

1Mohammed Olanrewaju Ibrahim, 2Ganiyu Kabir Adewale, 3Adejinmi Olusoji Joshua, 4Akande Kazeem Babatunde, 5Momoh Hafizat Ozichu, 6Abdulkadir Olaitan Halimat

---

This paper presents a deterministic mathematical model on the use of drug-abuse in understanding drug related crime in the contemporary world. The model formulation use the concept of mathematical epidemiology which consists of six classes (compartments) described by system of ordinary differential equations and were solved analytically with mathematical methods. Two equilibria states were established; The Drug-abuse/Crime free and Drug-abuse/Crime persistent equilibrium states. Control parameter for prevention (R0) was also proved. Routh-Hurwitz criteria was further applied to analyze the result at drug-abuse/crime free equilibrium while Bellman?s and Cookes theorem was applied on the persistent state euilibrium of the model. Results shows that the model can successfully handle the fitted socio-vices with criteria, which must be satisfied and the criteria include ?S(??g_1-???_3+??_3-?g_2+g_2 )<="" td="" style="box-sizing: border-box;">

PDF