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

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dc.creator Ainea, Neterindwa
dc.creator Massawe, Estomih S.
dc.creator Makinde, Oluwole D.
dc.creator Namkinga, Lucy
dc.date 2016-06-26T17:29:16Z
dc.date 2016-06-26T17:29:16Z
dc.date 2015-01
dc.date.accessioned 2018-03-27T08:57:55Z
dc.date.available 2018-03-27T08:57:55Z
dc.identifier Ainea, 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.identifier http://hdl.handle.net/20.500.11810/2755
dc.identifier 10.4236/aid.2015.51001
dc.identifier.uri http://hdl.handle.net/20.500.11810/2755
dc.description In 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.language en
dc.publisher Scientific Research
dc.subject HCV Disease
dc.subject Infected Immigrants
dc.subject Stability
dc.subject Sensitivity Index
dc.subject Lyapunov Method
dc.subject Screening
dc.subject Education
dc.subject Health Care and Immunization
dc.title Mathematical Analysis of Control Strategies of HCV in a Community with Inflow of Infected Immigrants
dc.type Journal Article, Peer Reviewed


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