Department of Management Education
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Browsing Department of Management Education by Author "Adu, Isaac Kwasi"
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- ItemSimple MSEIR Model for Measles Transmission(Asian Research Journal of Mathematics, 2019) Appiagyei, Ebenezer; Adu, Isaac Kwasi; Ossman, Mojeeb Al-Rahman EL-NorIn this paper, an Immunity-Susceptible-Exposed-Infectious-Recovery (MSEIR) mathematical model was used to study the dynamics of measles transmission. We discussed that there exist a disease-free and an endemic equilibria. We also discussed the stability of both disease-free and endemic equilibria. The basic reproduction number
- ItemTuberculosis Model with Exogenous Reinfection and Treatment(Asian Research Journal of Mathematic, 2020) Appiagyei, Ebenezer; Osman, Mojeeb b Al-Rahman El-Nor; Adu, Isaac KwasiThe epidemiology of tuberculosis model, which includes exogenous reinfection and treatment, is analyzed. We consider both the diagnosed and the undiagnosed individuals as infectious. Since tuberculosis is treatable, we also included the treatment for diagnosed infective. We presented the basic reproduction number and the stability of the disease-free and endemic equilibria. We also analyzed the model when the exogenous re-infection is set to zero. The exogenous re-infection is shown to be capable of supporting multiple equilibria. Lastly, we presented the global stability and numerical simulations of the model