References
- Bani-Yaghoub. M, Gautam. R, Shuai. Z. S., (2012): “Reproduction numbers for infections with free-living pathogens growing in the environment”, Journals of Biological dynamics 6 (2) 923-940.
- Bernoulli, D. (1760): Réflexions sur les avantages de l’inoculation. Mercue de France, 173–190.
- Cai. Y. L, Kang. Y, Banerjee. M and Wang. W. M., (2013): “A stochastic epidemic model incorporating media coverage”, communications in mathematical sciences 14 (4) 893-910.
- Cai. Y. L. Kang. Y, Banerjee. M, Wang. W. M., (2015): “A stochastic sirs epidemic model with infectious force under intervention strategies,” Journal of differential equations 259 (12) 7463-7502.
- Castilho, C. (2006): “Optimal control of an epidemic through educational campaigns”, Elect. J Differ equation, 1-11.
- Cui. J, Sun. Y and Zhu. H, (2008): “The impact of media on the control of infectious diseases”, Journal of dynamics and Differential Equations 20 (1) 31-35.
- Cui. J. A, Tao. X, Zhu. H (2008): “An SIS infection model incorporating media coverage,” Rocky Mountain Journal of Mathematics 38 (5) 1323-1334.
- Fleming, W. H., Rishel, R. W., (1975): “Deterministic and stochastic optimal control”. Springer-Verlag.
- Huo, H. F., Yang, P. and Xiang, H. (2018): “Stability and bifurcation for an SEIS epidemic model with the impact of media”, Physica A: Stat. Mech. Appls 490, 702-720.
- Huo. H. F, Wang, Y. Y, (2016): “Impact of media coverage on the drinking dynamics in the scale-free network”, Springer Plus 5 (1) 204.
- Huo. H. F, Zhang. X. M, (2016): “Modelling the influence of twitter in reducing and increasing the spread of influenza Epidemics,” Springer Plus 5(1) 88.
- Huo. H. F, Zhang. X. M, (2016):“complex dynamics in an alcoholism model with the impact of twitter”, Mathematical Biosciences 281 24-35.
- Huo. H. F., Wang. Q, (2014): “Modelling the influence of awareness programs by media on the drinking dynamics”, Abstract and Applied Analysis 2014 (5) 8.
- Kandhway, K., Kuri, J. (2014): “How to run a campaign: Optimal control of SIS and SIR information epidemics”, Appl Math Compu. 231, 79-92.
- Kangang, J. C. and Sallet, G. (2008): “Computation of threshold conditions for epidemiological models and global stability of the diseases-free equilibrium,” Math. Biosci., 213, 1-12.
- Kar, T. K., Jana, S. (2013): “A theoretical study on mathematically modeling of an infectious disease with application of optimal control”, Bio-systems 111, 37-50.
- Karnik, A. Dayama, P., (2012): “Optimal control of information epidemics”, In fourth International conference on communication systems and networks (COMSNETS). IEEE 1-7.
- Korobeinikov, A. (2004): “Global stability of basic virus dynamics models”, Bull. Math. Biol., 66, 879-883.
- Korobeinikov, A. (2007): “Global properties of infectious disease model with nonlinear incidence”, Bull. Math. Biol., 69, 1871-1886.
- Korobeinikov, A. (2009): “Global asymptotic properties of virus dynamics models with dose-dependent parasite reproduction and virulence and non-linear incidence rate”, Bull. Med. Biol., 26, 225-239.
- Kyrychko, Y. N. and Blyuss, K. B. (2005): “Global properties of a delayed SIR model with temporary immunity and nonlinear incidence rate”, Nonlinear Anal. : Real World Appl., 6, 495-507.
- LaSalle. J. P., (1976): “The stability of dynamical system, 25 of regional conference series in Applied Mathematics,” SIAM.
- Lenhart, S. Workman, J. T., (2007): “ Optimal control applied to biological models”, Mathematical and Computational Biology series. Chapman, Hall/CRC Press, London/Boca Raton.
- Li. Y, Cui. J, (2009): “The effect of constant and pulse vaccination on sis epidemic models incorporating media coverage”, communications in nonlinear science and numerical simulation 14 (5) 2353-2365.
- Liu. R, Wu. J, Zhu. H, (2007): “Media psychological impact on multiple outbreaks of emerging infectious diseases,” Comput. Math. Methods Medicine 8(3) 153-164.
- Lombardo, S., Mulone, G. and Trovato, M. (2008): “Nonlinear stability in reaction-diffusion via optimal Lyapunov functions”, J. Math. Anal. Appl., 342(1) , 461-476.
- Lui. Y, Cui. J. A, (2008): “The impact of media coverage on the dynamics of infectious disease”, Int. J. Bio-Maths, 1 (1) 65-74.
- Lukes, D. L., (1982): “Differential equations:classical to control”. Academicpress. Edinburgh.
- Misra, A. K., Sharma, A., Shukla, J. B., (2011): “Modeling and analysis of effects of awareness programs by media on the spread of infectious diseases”, Math Comput Model. 53, 1221-1228.
- Murray. J. D, (1998):“Mathematical Biology,” Springer-Verlag, Berlin.
- Pawelek. K. A, Hirsch, A. O. and Rong. L. (2014): “Modelling the impact of twitter on influenza epidemics”, Mathematical Biosciences and Engineering 11 (6) 1337-1356.
- Pontryagin, L. S., Boltyanskii, V. T., Gamkrelidze, R. V., Mishchenko, E. F., (1962): “The mathematical theory of optimal processes”. Wiley, London.
- Ross, R. (1911) : “The Prevention of Malaria, 2nd ed”.; John Murray: London, UK.
- Sun. C, Yang. W, Arino. J, Khan. K, (2011): “Effect of media induced social distancing on disease transmission in a two patch setting” Mathematical Biosciences 230 (2)87-95.
- Tchuenche. J. M, Dube. N, Bhunu. C. P, Smith. R. J and Bauch, C. T, (2011): “The impact of media coverage on the transmission”, BMC Public health 11 (supplement 1) S5.
- Wallis. P, Nerlich. B, (2005): “Disease metaphors in new epidemics: the UK media framing of the 2003 SARS epidemic”, social science and medicine 60 (11) 2629-2639.
- Watmough. J and et al., (2002):“Reproduction numbers and subthreshold endemic equilibria for compartmental models of disease transmission,” mathematical biosciences 180 29-48.
- Wilson. N, Thomson. J and Mansoor. O, (2004): “Print media response to SARS in New Zealand ”, Emerging infectious disease 10 (8) 1461-1464.
- Xiang. H, Tang, Y. L., Huo. H. F., (2016): “A viral model with intracellular delay and humoral immunity”, Bulletin of the Malaysian Mathematical Sciences society doi:10.1007/s40840-016-0326-2.