2015
DOI: 10.4236/aid.2015.51001
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Mathematical Analysis of Control Strategies of HCV in a Community with Inflow of Infected Immigrants

Abstract: 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 Lyap… Show more

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Cited by 4 publications
(3 citation statements)
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References 11 publications
(15 reference statements)
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“…Naturally the recovered people transmit to this class from the acutely infected and chronically infected compartments and become immune against this. Ainea et al [17] extended the previous model [16] by adding the exposed class. Both of these models [16] and [17] considered the HCV disease-induced death rate for both acutely-infected and chronically infected classes.…”
Section: Related Research Workmentioning
confidence: 99%
See 1 more Smart Citation
“…Naturally the recovered people transmit to this class from the acutely infected and chronically infected compartments and become immune against this. Ainea et al [17] extended the previous model [16] by adding the exposed class. Both of these models [16] and [17] considered the HCV disease-induced death rate for both acutely-infected and chronically infected classes.…”
Section: Related Research Workmentioning
confidence: 99%
“…Ainea et al [17] extended the previous model [16] by adding the exposed class. Both of these models [16] and [17] considered the HCV disease-induced death rate for both acutely-infected and chronically infected classes. Shen et al [18] proposed a dynamical model with six classes including susceptible, exposed, acutely infected, chronically infected, treated and recovered populations.…”
Section: Related Research Workmentioning
confidence: 99%
“…Pontryagin's maximum principle was used to solve the optimal control problem and constant control inputs were introduced for that purpose. Ainia et al [13] established a mathematical model for HCV by considering infected immigrants and introduced a Lyapunov‐based analysis for the model. Stability analysis of disease free and endemic equilibrium cases was done and sensitivity of model parameters was investigated.…”
Section: Literature Surveymentioning
confidence: 99%