Mathematical Modeling of Drug Abuse as an Infectious Disease in Secondary Schools Incorporating Guidance and Counseling
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| Format: | Article |
| Language: | English |
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International Journal of Mathematics Trends and Technology
2024
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| Online Access: | https://repository.daystar.ac.ke/handle/123456789/4615 |
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| _version_ | 1809369210042712064 |
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| author | Wainaina, Mary Muketo, Cecilia Kalekye Kimathi, George |
| author_facet | Wainaina, Mary Muketo, Cecilia Kalekye Kimathi, George |
| author_sort | Wainaina, Mary |
| collection | DSpace |
| description | Journal Article |
| format | Article |
| id | ir-123456789-4615 |
| institution | Daystar University |
| language | English |
| publishDate | 2024 |
| publisher | International Journal of Mathematics Trends and Technology |
| record_format | dspace |
| spelling | ir-123456789-46152024-08-09T06:26:11Z Mathematical Modeling of Drug Abuse as an Infectious Disease in Secondary Schools Incorporating Guidance and Counseling Wainaina, Mary Muketo, Cecilia Kalekye Kimathi, George Drug Abuse Guidance and Counseling Infectious Local stability and Model. Journal Article 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. 2024-05-13T11:28:28Z 2024-05-13T11:28:28Z 2021-09 Article Muketo C. K., Kimathi G., and Wainaina M. (2021): Mathematical Modeling of Drug Abuse as an Infectious Disease in Secondary Schools Incorporating Guidance and Counseling. International Journal of Mathematics Trends and Technology 2231 - 5373 https://repository.daystar.ac.ke/handle/123456789/4615 en Volume 67 Issue 9 application/pdf International Journal of Mathematics Trends and Technology |
| spellingShingle | Drug Abuse Guidance and Counseling Infectious Local stability and Model. Wainaina, Mary Muketo, Cecilia Kalekye Kimathi, George Mathematical Modeling of Drug Abuse as an Infectious Disease in Secondary Schools Incorporating Guidance and Counseling |
| title | Mathematical Modeling of Drug Abuse as an Infectious Disease in Secondary Schools Incorporating Guidance and Counseling |
| title_full | Mathematical Modeling of Drug Abuse as an Infectious Disease in Secondary Schools Incorporating Guidance and Counseling |
| title_fullStr | Mathematical Modeling of Drug Abuse as an Infectious Disease in Secondary Schools Incorporating Guidance and Counseling |
| title_full_unstemmed | Mathematical Modeling of Drug Abuse as an Infectious Disease in Secondary Schools Incorporating Guidance and Counseling |
| title_short | Mathematical Modeling of Drug Abuse as an Infectious Disease in Secondary Schools Incorporating Guidance and Counseling |
| title_sort | mathematical modeling of drug abuse as an infectious disease in secondary schools incorporating guidance and counseling |
| topic | Drug Abuse Guidance and Counseling Infectious Local stability and Model. |
| url | https://repository.daystar.ac.ke/handle/123456789/4615 |
| work_keys_str_mv | AT wainainamary mathematicalmodelingofdrugabuseasaninfectiousdiseaseinsecondaryschoolsincorporatingguidanceandcounseling AT muketoceciliakalekye mathematicalmodelingofdrugabuseasaninfectiousdiseaseinsecondaryschoolsincorporatingguidanceandcounseling AT kimathigeorge mathematicalmodelingofdrugabuseasaninfectiousdiseaseinsecondaryschoolsincorporatingguidanceandcounseling |