References
[1] C. del Rio and P. N. Malani. (2020). COVID-19 - New insights on a rapidly changing epidemic, JAMA,
doi:10.1001/jama.2020.3072.
[2] J. Hellewell, S. Abbott, A. Gimma, N. I. Bosse, C. I. Jarvis, T. W. Russell, J. D. Munday, A. J. Kucharski, and W. J. Edmunds. (2020). Feasibility of controlling COVID-19 outbreaks by isolation of cases and contacts, Lancet Glob.Health, 8, e488-e496.
[3] Johns Hopkins Coronavirus Resource Center. (2020). https://coronavirus.jhu.edu/map.html.
[4] K. Saito and Y. Hamaya. (2023). On the stability of an SEIR epidemic discretemodel, submitted.
[5] Y. Zhang, Xi. Yu, H. G. Sun, G. R. Tick, W. Wei and B. Jin. (2020). COVID-19 infection and recovery in various countries: Modeling the dynamics and evaluating the non-pharmaceutical mitigation scenarios, submitted on 31 Mar 2020 to Cornell Uni-versity.
[6] R.M. Anderson and R.M. May. (1979). Population biology of infectious diseases, Part1, Nature, 280, 361-367.
[7] F. Brauer and C. Castillo-Chavez. (2012). Mathematical Model in Population Biology and Epidemiology, Vol.2, Springer New York 3-47.
[8] H. Inaba. (2002). Mathematical Models for Demography and Epidemics, University of Tokyo Press.
[9] W. O. Kermack and A. G. Mckendrick. (1927). A contribution to the mathematical theory of epidemics, P. Roy. Soc. A, Math. Phys. Eng. Sci., 115, 700-721.
[10] Y. Takeuchi and W. Ma. (1999). Stability analysis on a delayed SIR epidemic model with density dependent birth process, Dy-namical and Continuous Discrete Impul. Systems, 5, 171-184.
[11] C. Yang and J. A. Wang. (2020). Mathematical model for the novel coronavirus epidemic in Wuhan, China, Math. Biosci. Eng., 17, 2708-2724.
[12] Y. Hamaya and T. Arai. (2010). Permanence of an SIR epidemic model with diffusion, Nonlinear Studies, 17, 69-79.
[13] Y. Hamaya and K. Saito. (2023). Asymptotic stability of a delayed SEIR epidemic model of COVID-19 with diffusion. Submitted.
[14] Y. Hamaya. (1999). On the asymptotic behavior of a diffusive epidemic model (AIDS), Nonlinear Analysis, 36, 685-696.
[15] Y. Hamaya and K. Saito. (2016). Global asymptotic stability of a delayed SIR epidemic model with diffusion, Libertas Mathematica (New series), 36, 53-72.
[16] K. Saito, T. Kohno, and Y. Hamaya. (2017). Global stability of a delayed SIR epidemic model with diffusion. International Journal of Differential Equations and Applications, 16, 123-145.
[17] A. Pazy. (1983). Semigroups of Linear Operators and Applications to Partial Differential Equations, Applied Math. Sci. Sprin-ger-Verlag, New York.
[18] R. Redlinger. (1985). On Volterra’s population equation with diffusion, SIAM J.Math. Anal., 16, 135-142.
[19] K. Gopalsamy. (1992). Stability and Oscillations in Delay Differential Equations of Population Dynamics, Kluwer Academic Publishers, Dordrecht.
[20] M.H. Protter and H.F. Weinberger. (1984). Maximum Principles in Differential Equations, Springer-Verlag New York Inc.
[21] S. Murakami and Y. Hamaya. (1995). Global attractivity in an integro differential equation with diffusion, Differential Equations and Dynamical Systems, 3, 35-42.
[22] M. Granovetter. (1983). Threshold Models of Collective Behavior. The Sociological Quarterly.