Mathematical Modeling of Drug Abuse as an Infectious Disease in Secondary Schools Incorporating Guidance and Counseling

Cecilia Kalekye Muketo; George Kimathi; Mary Wainaina

doi:https://doi.org/10.14445/22315373/IJMTT-V67I9P503

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 67 | Issue 9 | Year 2021 | Article Id. IJMTT-V67I9P503 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I9P503

Mathematical Modeling of Drug Abuse as an Infectious Disease in Secondary Schools Incorporating Guidance and Counseling

Cecilia Kalekye Muketo, George Kimathi, Mary Wainaina

Citation :

Cecilia Kalekye Muketo, George Kimathi, Mary Wainaina, "Mathematical Modeling of Drug Abuse as an Infectious Disease in Secondary Schools Incorporating Guidance and Counseling," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 9, pp. 11-23, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I9P503

Abstract

Drug abuse is a major problem that has affected many young people in our society. In this study, we looked at drug abuse as an infectious disease in secondary schools. We developed a SEIGWR model which is a mathematical model of drug abuse as an infectious disease with six compartments; susceptible, exposed, infected, guided and counseled, rehabilitated and recovered. The model stability and the existence of equilibrium points was determined. From the quantitative analysis of the study, it was found out that the local stability existed when R0 < 1. From the numerical analysis of the drug abuse model, we determined that guidance and counseling affects the dynamics of the model. We established that an increase in guidance and counseling leads to a decrease in the number of infections. This suggests that there is a need for all the relevant stakeholders in the secondary schools to increase the rate at which guidance and counseling is offered in the schools. The study suggested that guidance and counseling would serve as a control strategy if given at an early age when the students are still in the primary schools.

Keywords

Drug Abuse, Guidance and Counseling, Infectious, Local stability and Model.

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