Modelling Typhoid Fever with General Knowledge, Vaccination and Treatment for Susceptible Individual
- September 11, 2020
- Posted by: RSIS Team
- Categories: Clinical Sciences, IJRIAS
International Journal of Research and Innovation in Applied Science (IJRIAS) | Volume V, Issue III, March 2020 | ISSN 2454–6186
Modelling Typhoid Fever with General Knowledge, Vaccination and Treatment for Susceptible Individual
Kolawole, M. K., Ayoola T.A., Abdulrazaq R.
Department of Mathematical Sciences, Osun State University, Osogbo, Nigeria
Abstract. The Paper Investigates The Significance Of General Knowledge In The Control Of Typhoid Fever In Endemic Environment. Saturated Incidence Rate Was Introduced To Study The General Knowledge Of The Disease. The Basic Reproduction Number Of The Resulting Model Was Determined By Using Next Generation Matrix.The Paper Also Analyzed The Control Strategies For The Disease Free Equilibriumof The Infected And Vaccinated Model. The Paper Studies The Local And Global Stabilities Of Disease Free And Endemic Equilibrium. We Provide A Numerical Simulation Of The Model Using Runge-Kutta Of Order 4. Our Results Show That General Knowledge Of The Typhoid Disease Has Appreciable Effect In The Model.
Keywords: Treatment, Basic Reproduction Number, Vaccination, Lyapunov Function.
