[1] Brauer F. and Castillo-Chavez C., Mathematical models in population biology and epidemiology, Springer, 2012.
[2] Bailey N. T., The mathematical theory of infectious diseases and its applications, Charles Griffin & Company Ltd., 1975.
[3] Chalub F. A. and Souza M. O., Discrete and continuous SIS epidemic models: A unifying approach, Ecological complexity, 18 (2014), 83–95.
[4] Chitnis N., Hyman J. M. and Cushing J. M., Determining important parameters in the spread of malaria through the sensitivity analysis of a mathematical model, Bulletin of mathematical biology, 70(5) (2008), 1272.
[5] Diekmann O. and Heesterbeek J.A.P., Mathematical epidemiology of infectious diseases: model building, analysis and interpretation, John Wiley & Sons, 2000.
[6] Gamboa M. and Lopez-Herrero M. J., On the Number of Periodic Inspections During Outbreaks of Discrete-Time Stochastic SIS Epidemic Models, Mathematics, 6(8) (2018), 128.
[7] Gumel A. B. and Moghadas S. M., A qualitative study of a vaccination model with non-linear incidence, Applied Mathematics and Computation, 143(2-3) (2003), 409–419.
[8] Hassouna M., Ouhadan A. and El Kinani E., On the solution of fractional order SIS epidemic model, Chaos, Solitons & Fractals, 117 (2018), 168–174.
[9] Hethcote H. W., The mathematics of infectious diseases, SIAM review, 42(4) (2000), 599–653.
[10] Hethcote H., Zhien M. and Shengbing L., Effects of quarantine in six endemic models for infectious diseases, Mathematical Biosciences, 180(1-2) (2002), 141–160.
[11] Jian-quan L., Juan Z. and Zhi-en M., Global analysis of some epidemic models with general contact rate and constant immigration, Applied Mathematics and Mechanics, 25(4) (2004), 396–404.
[12] Jianquan L. and Zhien M., Global analysis of SIS epidemic models with variable total population size, Mathematical and computer modelling, 39(11-12) (2004), 1231-1242.
[13] Khan H., Mohapatra R. N., Vajravelu K. and Liao S., The explicit series solution of SIR and SIS epidemic models, Applied Mathematics and Computation, 215(2) (2009), 653–669.
[14] Khan M. A., Khan Y., Badshah Q. and Islam S., Global stability of SEIVR epidemic model with generalized incidence and preventive vaccination, International Journal of Biomathematics, 8(6) (2015), 1550082.
[15] Khan T., Ullah Z., Ali N. and Zaman G., (2019) Modeling and control of the hepatitis B virus spreading using an epidemic model, Chaos, Solitons & Fractals, 124 (2019), 1–9.
[16] Kribs-Zaleta C. M. and Velasco-Hernández J. X., A simple vaccination model with multiple endemic states, Mathematical biosciences, 164(2) (2000), 183–201.
[17] La Salle J. and Lefschetz S., Stability by Liapunov’s Direct Method with Applications, Elsevier, 2012.
[18] Lahrouz A., Omari L., Kiouach D. and Belmaâti A., Complete global stability for an SIRS epidemic model with generalized non-linear incidence and vaccination, Applied Mathematics and Computation, 218(11) (2012), 6519–6525.
[19] McCluskey C. C. and Van den Driessche P., Global analysis of two tuberculosis models, Journal of Dynamics and Differential Equations, 16(1) (2004), 139–166.
[20] Murray J. D., Mathematical biology: I. An Introduction (interdisciplinary applied mathematics)(Pt. 1), New York, Springer, 2007.
[21] Parsamanesh M., Global stability analysis of a VEISV model for network worm attack, University Politehnica of Bucharest Scientific Bulletin-Series A-Applied Mathematics and Physics, 79(4) (2017), 179–188.
[22] Parsamanesh M., The role of vaccination in controlling the outbreak of infectious diseases: a mathematical approach, Vaccine Research, 5(1) (2018), 32–40.
[23] Parsamanesh M., Global dynamics of an SIVS epidemic model with bilinear incidence rate, Italan Journal of Pure Applied Mathematics, 40 (2018), 544–557.
[24] Parsamanesh M. and Erfanian M., Global dynamics of an epidemic model with standard incidence rate and vaccination strategy, Chaos, Solitons & Fractals, 117 (2018), 192–199.
[25] Parsamanesh M. and Farnoosh R., On the global stability of the endemic state in an epidemic model with vaccination, Mathematical Sciences, 12(4) (2018), 313–320.
[26] Parsamanesh M. and Mehrshad S., Stability of the equilibria in a discrete-time SIVS epidemic model with standard incidence, Filomat, 33(8) (2019), 2393–2408.
[27] Safan M. and Rihan F.A., Mathematical analysis of an SIS model with imperfect vaccination and backward bifurcation, Mathematics and Computers in Simulation, 96 (2014), 195–206.
[28] Sun G. Q., Xie J. H., Huang S. H., Jin Z., Li M. T. and Liu L., Transmission dynamics of cholera: Mathematical modeling and control strategies, Communications in Nonlinear Science and Numerical Simulation, 45 (2017), 235–244.
[29] Van den Driessche P. and Yakubu A., Disease extinction versus persistence in discrete-time epidemic models, Bulletin of mathematical biology, 81(11) (2019), 4412–4446.
[30] Van den Driessche P. and Watmough J., Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission, Mathematical biosciences, 180(1–2) (2002), 29–48.
[31] Vargas-De-León C., On the global stability of SIS, SIR and SIRS epidemic models with standard incidence, Chaos, Solitons & Fractals, 44(12) (2011), 1106–1110.
[32] Zhang X. and Liu X., Backward bifurcation and global dynamics of an SIS epidemic model with general incidence rate and treatment, Nonlinear Analysis: Real World Applications, 10(2) (2009), 565–575.