Abstract
In this paper, we derive and study the classical SIR, SIS, SEIR and SEI models of epidemiological dynamics with time delays and a general incidence rate. By constructing Lyapunov functionals, the global asymptotic stability of the disease-free equilibrium and the endemic equilibrium is shown. This analysis extends and develops further our previous results and can be applied to the other biological dynamics, including such as single species population delay models and chemostat models with delay response.
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This research was supported by the Grand-in-Aid for Scientific Research (C) No. 22540122, Japan Society for the Promotion of Science.
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Huang, G., Takeuchi, Y. Global analysis on delay epidemiological dynamic models with nonlinear incidence. J. Math. Biol. 63, 125–139 (2011). https://doi.org/10.1007/s00285-010-0368-2
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DOI: https://doi.org/10.1007/s00285-010-0368-2