Dynamics Model of Chickenpox with Effect of the Mass Media
Keywords:Mathematical model, Varicella, Mass media, Basic reproductive number
In this paper, an SIR model (Susceptible â€“ Infectious â€“ Recovered) analyze the Chickenpox transmission by considering the effect of mass media to understand the dynamic of the disease in Thailand. This dynamical model is analyzed using a standard dynamical modeling method. The stability of the model was determined by using Routh-Hurwitz criteria. In this paper, the disease free and endemic state have been found. To determine the basic reproductive number (R0) which is the threshold parameter, if R0 <1, the disease free equilibrium point is locally asymptotically stable. The result shows that the mass media significantly cause the reduction in transmission and infection of Chickenpox in Thailand. So, the mass media may be another option to prevent and control the disease.
 WHO (1998) Varicella vaccines. WHO position paper. Wkly Epidemiol Rec 73: 241â€“248
 Gershon A., Steinberg S., Gelb L., Galasso G., Borkowsky W., LaRussa P., et al. Live attenuated varicella vaccine. Efficacy for children with leukemia in remission. JAMA (1984) 252: 355â€“362
 Tunbridge AJ et al. Chickenpox in adults - Clinical management. Journal of Infection (2008) 57:95e102
 Brisson M., Edmunds W., Law B., Gay N., Walld R., Brownell M., et al. Epidemiology of varicella zoster virus infection in Canada and the United Kingdom. Epidemiol Infect (2001) 127: 305â€“314
 Tchuenche J.M., Dube N., Bhunu C.P., Smith R.J., Bauch C.T., The impact of media coverage on the transmission dynamics of human influenza, BMC Public Health 11 (2011).
 Greenhalgh D., Rana S, Samanta S, Sardar T, Bhattacharya S, Chattopadhyay J, Awareness programs control infectious disease â€“ Multiple delay induced mathematical model, Applied Mathematics and Computation 251 (2015) 539â€“563.
 Ghosh M., Chandra P., Sinha P., J.B. Shukla, Modelling the spread of bacterial infectious disease with environmental effect in a logisticallygrowing human population, Nonlinear Analysis. Real World Applications 7 (2006) 341â€“365.
 Yoo B.K., Holland M.L., Bhattacharya J., Phelps C.E., Szilagyi P.G., Effects of mass media coverage on timing and annual receipt of influenza vaccination among medicare elderly, Health Serv. Res. 45 (2010) 1287â€“1309.
 Kaur N., Ghosh M., Bhatia S.S., Modeling and analysis of an SIRS epidemic model with effect of awareness programs by media, Int. J. Math. Comput.Phys. Quant. Eng. 8 (2014) 233â€“239.
 Van den Driessche P., Watmough J., Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission, Mathematical Biosciences 180 (2002) 29â€“48.