Mathematical Analysis of Control Strategies of HCV in a Community with Inflow of Infected Immigrants

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dc.creatorAinea, Neterindwa
dc.creatorMassawe, Estomih S.
dc.creatorMakinde, Oluwole D.
dc.creatorNamkinga, Lucy
dc.date2016-06-26T17:29:16Z
dc.date2016-06-26T17:29:16Z
dc.date2015-01
dc.date.accessioned2018-03-27T08:57:55Z
dc.date.available2018-03-27T08:57:55Z
dc.descriptionIn this paper, we derive and analyse rigorously a mathematical model of control strategies (screening, education, health care and immunization) of HCV in a community with inflow of infected immigrants. Both qualitative and quantitative analysis of the model is performed with respect to stability of the disease free and endemic equilibria. The results show that the disease free equilibrium is locally stable at threshold parameter less than unity and unstable at threshold parameter greater than unity. Using Lyapunov method, endemic equilibrium is globally stable under certain conditions. Numerical simulation of the model is implemented to investigate the sensitivity of certain key parameters on the HCV model in a community with inflow of infected immigrants. However, analysis shows that screening, education, health care and immunization have the effect of reducing the transmission of the disease in the community.
dc.identifierAinea, N., Massawe, E.S., Makinde, O.D. and Namkinga, L., 2015. Mathematical Analysis of Control Strategies of HCV in a Community with Inflow of Infected Immigrants. Advances in Infectious Diseases, 5(01), p.1.
dc.identifierhttp://hdl.handle.net/20.500.11810/2755
dc.identifier10.4236/aid.2015.51001
dc.identifier.urihttp://hdl.handle.net/20.500.11810/2755
dc.languageen
dc.publisherScientific Research
dc.subjectHCV Disease
dc.subjectInfected Immigrants
dc.subjectStability
dc.subjectSensitivity Index
dc.subjectLyapunov Method
dc.subjectScreening
dc.subjectEducation
dc.subjectHealth Care and Immunization
dc.titleMathematical Analysis of Control Strategies of HCV in a Community with Inflow of Infected Immigrants
dc.typeJournal Article, Peer Reviewed

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