Math. Model. Nat. Phenom.
Volume 16, 2021
Mathematical Models and Methods in Epidemiology
Article Number 7
Number of page(s) 17
Published online 03 March 2021
  1. R.M. Anderson and R.M. May, Infectious Disease of Humans, Dynamics and Control. Oxford University Press, Oxford (1991). [Google Scholar]
  2. E. Beretta and Y. Kuang, Geometric stability switch criteria in delay differential systems with delay dependent parameters. SIAM J Math Anal. 33 (2002) 1144–1165. [Google Scholar]
  3. F. Brauer, A model for an SI disease in an age-structured population. Discrete Contin. Dyn. Syst. Ser. B 2 (2002) 257–264. [Google Scholar]
  4. J. Cui, Y. Sun and H. Zhu, The impact of media on the control of infectious diseases. J. Dyn. Differ. Equ. 20 (2008) 31–53. [PubMed] [Google Scholar]
  5. K.J. Engel and R. Nagel, One-Parameter Semigroups for Linear Evolution Equations. Springer, New York (2000). [Google Scholar]
  6. J.K. Hale, Theory of Function Differential Equations. Springer, Heidelberg (1977). [Google Scholar]
  7. M. Iannalli, Mathematical theory of age-structured population dynamics. Vol. 7 of Applied Mathematics Monographs. Giardini, Pisa (1995). [Google Scholar]
  8. M. Martcheva and H.R. Thieme, Progression age enhanced backward bifurcation in an epidemic model with super-infection. J. Math. Biol. 46 (2003) 385–424. [PubMed] [Google Scholar]
  9. F.A. Milner, M. Iannelli and Z. Feng, A two-strain tuberculosis model with age of infection. SIAM J. Appl. Math. 62 (2002) 1634–1656. [Google Scholar]
  10. A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations. Springer, New York (1983). [Google Scholar]
  11. S. Ruan and J. Wei, On the zeros of transcendental functions with applications to stability of delay differential equations with two delays. Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal. 10 (2003) 863–874. [Google Scholar]
  12. H.R. Thieme, Convergence results and a Poincaré–Bendixson trichotomy for asymptotically autonomous differential equations. J. Math. Biol. 30 (1992) 755–763. [Google Scholar]
  13. L. Wang, D. Zhou, Z. Liu, D. Xu and X. Zhang, Media alert in an SIS epidemic model with logistic growth. J. Biol. Dyn. 11 (2017) 120–137. [PubMed] [Google Scholar]
  14. Y. Zhou, B. Song and Z. Ma, The global stability analysis for a SIS model with age and infection age structures, in Vol. 126 of Mathematical Approaches for Emerging and Reemerging Infectious Disease, edited by C. Castillo-Chavez, S. Blower. The IMA Volumes in Mathematics and its Applications. Springer-Verlag (2001) 313–335. [Google Scholar]

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