[1] A. Agrawal, Global analysis of an SEIRS epidemic model with new modulated saturated incidence, Commun. Math. Biol. Neurosci. 2014 (2014).
[2] A. Agrawal, A. Tenguria, and G. Modi, Stability analysis of an SIR epidemic model with specific nonlinear incidence rate, Math. Theory Model. 6 (2016), no. 1, 45–51.
[3] F. Al Basir, S. Ray, and E. Venturino, Role of media coverage and delay in controlling infectious diseases: A mathematical model, Appl. Math. Comput. 337 (2018), 372–385.
[4] K.B. Blyuss and Y.N. Kyrychko, Stability and bifurcations in an epidemic model with varying immunity period, Bull. Math. Bio. 72 (2010), no. 2, 490–505.
[5] G.A. Bocharov and F.A. Rihan, Numerical modelling in biosciences using delay differential equations, J. Comput. Appl. Math. 125 (2000), no. 1-2, 183–199.
[6] M. Bodnar, The nonnegativity of solutions of delay differential equations, Appl. Math. Lett. 13 (2000), no. 6, 91–95.
[7] S. Collinson and J.M. Heffernan, Modelling the effects of media during an influenza epidemic, BMC Pub. Health 14 (2014), no. 1, 376.
[8] K.L. Cooke and P. Van Den Driessche, Analysis of an SEIRS epidemic model with two delays, J. Mathe. Bio. 35 (1996), no. 2, 240–260.
[9] J. Cui, Y. Sun, and H. Zhu, The impact of media on the control of infectious diseases, J. Dyn. Differ. Eequ. 20 (2008), no. 1, 31–53.
[10] H.L. Freedman and V.S.H. Rao, The trade-off between mutual interference and time lags in predator-prey systems, Bull. Math. Bio. 45 (1983), no. 6, 991–1004.
[11] D. Greenhalgh, Hopf bifurcation in epidemic models with a latent period and nonpermanent immunity, Math. Comput. Model. 25 (1997), no. 2, 85–107.
[12] T.K. Kar and A. Batabyal, Modeling and analysis of an epidemic model with non-monotonic incidence rate under treatment, J. Math. Res. 2 (2010), no. 1, 103.
[13] W.O. Kermack and A.G. McKendrick, A contribution to the mathematical theory of epidemics, Proc. Royal Soc. London Ser. A, Math. Phys. Character 115 (1927), no. 772, 700–721.
[14] S. Khajanchi, Bifurcation analysis of a delayed mathematical model for tumor growth, Chaos Solitons Fractals 77 (2015), 264–276.
[15] S. Khajanchi and S. Banerjee, Stability and bifurcation analysis of delay induced tumor immune interaction model, Appl. Math. Comput. 248 (2014), 652–671.
[16] Y.N. Kyrychko and K.B. Blyuss, Global properties of a delayed SIR model with temporary immunity and nonlinear incidence rate, Nonlinear Anal.: Real World Appl. 6 (2005), no. 3, 495–507.
[17] M.Y. Li and J.S. Muldowney, Global stability for the SEIR model in epidemiology, Math. Biosci. 125 (1995), no. 2, 155–164.
[18] Y. Li, T. Zhang, and Y. Ye, On the existence and stability of a unique almost periodic sequence solution in discrete predator-prey models with time delays, Appl. Math. Model. 35 (2011), no. 11, 5448–5459.
[19] J. Liu, Bifurcation of a delayed SEIS epidemic model with a changing delitescence and nonlinear incidence rate, Discrete Dyn. Nature Soc. 2017 (2017).
[20] R. Liu, J. Wu, and H. Zhu, Media/psychological impact on multiple outbreaks of emerging infectious diseases, Comput. Math. Meth. Med. 8 (2007), no. 3, 153–164.
[21] A.D. Lopez, C.D. Mathers, M.D. Ezzati, T. Jamison, and C.J. Murray, Changes in individual behavior could limit the spread of infectious diseases, 2006.
[22] J. Mondal, S. Khajanchi, and P. Samui, Impact of media awareness in mitigating the spread of an infectious disease with application to optimal control, Eur. Phys. J. Plus 137 (2022), no. 8, 983.
[23] J. Mondal, P. Samui, and A.N. Chatterjee, Modelling of contact tracing in determining critical community size for infectious diseases, Chaos Solitons Fractals 159 (2022), 112141.
[24] R. Naresh and D. Sharma, An HIV/AIDS model with vertical transmission and time delay, World J. Model. Simul. 7 (2011), no. 3, 230–240.
[25] World Health Organization, Urgent health challenges for the next decade, https://www.who.int/news-room/photostory/photo-story-detail/urgent-health-challenges-for-the-next-decade, Accessed on January 13, (2020).
[26] F.A. Rihan, Sensitivity analysis for dynamic systems with time-lags, J. Comput. Appl. Math. 151 (2003), no. 2, 445–462.
[27] F.A. Rihan, Delay Differential Equations and Applications to Biology, Springer, 2021.
[28] P.K. Roy and A.N. Chatterjee, Reduction of HIV infection that includes a delay with cure rate during long term treatment: A mathematical study, Electrical Engineering and Applied Computing, Springer, 2011, pp. 699–713.
[29] P.K. Roy, A.N. Chatterjee, D. Greenhalgh, and Q.J.A. Khan, Long term dynamics in a mathematical model of HIV-1 infection with delay in different variants of the basic drug therapy model, Nonlinear Anal.: Real World Appl. 14 (2013), no. 3, 1621–1633.
[30] P.K. Roy and J. Mondal, Host pathogen interactions: Insight of delay response recovery and optimal control in disease pathogenesis, Engineering Letters 18 (2010), no. 4, 406.
[31] P.K. Roy, J. Mondal, and S. Chatterjee, Vertical incidence increases virulence in pathogens: A model based study, Electrical Engineering and Applied Computing, Springer, 2011, pp. 661–673.
[32] P. Samui, J. Mondal, and S. Khajanchi, A mathematical model for COVID-19 transmission dynamics with a case study of India, Chaos Solitons Fractals (2020), 110173.
[33] A. Sirijampa, S. Chinviriyasit, and W. Chinviriyasit, Hopf bifurcation analysis of a delayed SEIR epidemic model with infectious force in latent and infected period, Adv. Differ. Equ. 2018 (2018), no. 1, 348.
[34] Y. Song and S. Yuan, Bifurcation analysis in a predator-prey system with time delay, Nonlinear Anal.: Real World Appl. 7 (2006), no. 2, 265–284.
[35] J.M. Tchuenche, N. Dube, C.P. Bhunu, R.J. Smith, and C.T. Bauch, The impact of media coverage on the transmission dynamics of human influenza, BMC Pub. Health 11 (2011), no. S1, S5.
[36] H.-M. Wei, X.-Z. Li, and M. Martcheva, An epidemic model of a vector-borne disease with direct transmission and time delay, J. Math. Anal. Appl. 342 (2008), no. 2, 895–908.
[37] N. Yi, Q. Zhang, K. Mao, D. Yang, and Q. Li, Analysis and control of an SEIR epidemic system with nonlinear transmission rate, Math. Comput. Model. 50 (2009), no. 9-10, 1498–1513.
[38] Y. Zhou, Do. Xiao, and Y. Li, Bifurcations of an epidemic model with non-monotonic incidence rate of saturated mass action, Chaos Solitons Fractals 32 (2007), no. 5, 1903–1915.