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A note on the global stability of an SEIR epidemic model with constant latency time and infectious period
| 1. | Department of Mathematics, Waseda University, 3-4-1 Ohkubo, Shinjuku-ku, Tokyo, 169-8555 |
| 2. | Department of Pure and Applied Mathematics, Waseda University, 3-4-1 Ohkubo, Shinjuku-ku, Tokyo, 169-8555 |
| 3. | College of Sciences, Tianjin University of Technology, Binshui West Road, Xiqing District, 300384, China |
References:
| [1] |
E. Beretta and D. Breda, An SEIR epidemic model with constant latency time and infectious period, Math. Biosci. Eng., 8 (2011), 931-952.
doi: 10.3934/mbe.2011.8.931. |
| [2] |
Y. Muroya, Y. Enatsu and Y. Nakata, Global stability of a delayed SIRS epidemic model with a non-monotonic incidence rate, J. Math. Anal. Appl., 377 (2011), 1-14.
doi: 10.1016/j.jmaa.2010.10.010. |
| [3] |
Y. Muroya, Y. Enatsu and Y. Nakata, Monotone iterative techniques to SIRS epidemic models with nonlinear incidence rates and distributed delays, Nonlinear Analysis RWA, 12 (2011), 1897-1910.
doi: 10.1016/j.nonrwa.2010.12.002. |
| [4] |
R. Xu and Y. Du, A delayed SIR epidemic model with saturation incidence and constant infectious period, J. Appl. Math. Comput., 35 (2010), 229-250.
doi: 10.1007/s12190-009-0353-3. |
| [5] |
R. Xu and Z. Ma, Stability of a delayed SIRS epidemic model with a nonlinear incidence rate, Chaos, Solitons & Fractals, 41 (2009), 2319-2325.
doi: 10.1016/j.chaos.2008.09.007. |
| [6] |
R. Xu and Z. Ma, Global stability of a delayed SEIRS epidemic model with saturation incidence, Nonlinear Dynam., 61 (2010), 229-239.
doi: 10.1007/s11071-009-9644-3. |
show all references
References:
| [1] |
E. Beretta and D. Breda, An SEIR epidemic model with constant latency time and infectious period, Math. Biosci. Eng., 8 (2011), 931-952.
doi: 10.3934/mbe.2011.8.931. |
| [2] |
Y. Muroya, Y. Enatsu and Y. Nakata, Global stability of a delayed SIRS epidemic model with a non-monotonic incidence rate, J. Math. Anal. Appl., 377 (2011), 1-14.
doi: 10.1016/j.jmaa.2010.10.010. |
| [3] |
Y. Muroya, Y. Enatsu and Y. Nakata, Monotone iterative techniques to SIRS epidemic models with nonlinear incidence rates and distributed delays, Nonlinear Analysis RWA, 12 (2011), 1897-1910.
doi: 10.1016/j.nonrwa.2010.12.002. |
| [4] |
R. Xu and Y. Du, A delayed SIR epidemic model with saturation incidence and constant infectious period, J. Appl. Math. Comput., 35 (2010), 229-250.
doi: 10.1007/s12190-009-0353-3. |
| [5] |
R. Xu and Z. Ma, Stability of a delayed SIRS epidemic model with a nonlinear incidence rate, Chaos, Solitons & Fractals, 41 (2009), 2319-2325.
doi: 10.1016/j.chaos.2008.09.007. |
| [6] |
R. Xu and Z. Ma, Global stability of a delayed SEIRS epidemic model with saturation incidence, Nonlinear Dynam., 61 (2010), 229-239.
doi: 10.1007/s11071-009-9644-3. |
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