References
- L.S.J. Allen and P. van den Driessche, The basic reproduction number in some discrete-time epidemic models, J. Difference Equ. Appl. 14(10) (2008), pp. 1–19.
- L.S.J. Allen and D.B. Thrasher, The effects of vaccination in an age-dependent model for varicella and herpes Zoster number in some discrete-time epidemic models, IEEE Trans. Automat. Control 43(6) (1998), pp. 779–789. doi: 10.1109/9.679018
- A. Ben-Zvi, P.J. McLellan, and K.B. McAuley, Identifiability of linear time-invariant differential-algebraic systems. 2. The differential-algebraic approach, Ind. Eng. Chem. Res. 43(5) (2004), pp. 1251–1259.
- C. Boyadjiev and E. Dimitrova, An iterative method for model parameter identification, Comput. Chem. Eng. 29 (2005), pp. 941–948. doi: 10.1016/j.compchemeng.2004.08.036
- B. Cantó, C. Coll, and E. Sánchez, Identifiability of a class of discretized linear partial differential algebraic equations, Math. Problems Eng. 2011 (2011), pp. 1–12. doi: 10.1155/2011/510519
- H. Cao and Y. Zhou, The discrete age-strctured SEIT model with application to tuberculosis transmission in China, Math. Comput. Modelling 55(3) (2012), pp. 385–395. doi: 10.1016/j.mcm.2011.08.017
- O. Diekmann, J.A.P. Heesterbeek, and J.A.J. Metz, On the definition and the computation of the basic reproduction ratio R0 in models for infectious diseases in heterogeneus populations, J. Math. Biol. 28 (1990), pp. 365–382. doi: 10.1007/BF00178324
- J.M. Dion, C. Commault, and J. van der Woude, Generic properties and control of linear structured systems: A survey, Automatica 39 (2003), pp. 1125–1144. doi: 10.1016/S0005-1098(03)00104-3
- H.E. Emmert and L.S.J. Allen, Population persistence and extinction in a discrete-time, stage-structured epidemic model, J. Difference Equ. Appl. 10 (2004), pp. 1177–1199. doi: 10.1080/10236190410001654151
- L. Farina and S. Rinaldi, Positive Linear Systems, John Wiley & Sons, Hoboken, NJ, 2000.
- J.M. van den Hof, Structural identifiability of linear compartmental systems, IEEE Trans. Automat. Control 43(6) (1998), pp. 800–818. doi: 10.1109/9.679020
- T. Kailath, Linear Systems, Prentice-Hall, Englewood Cliffs, NJ, 1980.
- C.K. Li and H. Schneider, Applications of Perron–Frobenius theory to population dynamics, J. Math. Biol. 44 (2002), pp. 450–462. doi: 10.1007/s002850100132
- X. Li and W. Wang, A discrete epidemic model with stage structure, Chaos Solitons Fractals 26 (2005), pp. 947–958. doi: 10.1016/j.chaos.2005.01.063
- J. Ma and J.D. Earn, Generality of the final size formula for an epidemic of a newly invading infectious disease, Bull. Math. Biol. 68 (2006), pp. 679–702. doi: 10.1007/s11538-005-9047-7
- W. Wang and X. Zhao, An epidemic model in a patchy environment, Math. Biosci. 190 (2004), pp. 97–112. doi: 10.1016/j.mbs.2002.11.001