caa a22 4500 445329785 CHVBK 20180317142733.0 cr unu---uuuuu 170323e20110701xx s 000 0 eng 10.1007/s00285-010-0368-2 doi (NATIONALLICENCE)springer-10.1007/s00285-010-0368-2 Global analysis on delay epidemiological dynamic models with nonlinear incidence [Elektronische Daten] [Gang Huang, Yasuhiro Takeuchi] 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. Springer-Verlag, 2010 Epidemic model nationallicence Nonlinear incidence rate nationallicence Time delay nationallicence Lyapunov functional nationallicence Global stability nationallicence Huang Gang Graduate School of Science and Technology, Shizuoka University, 4328561, Hamamatsu, Japan aut Takeuchi Yasuhiro Graduate School of Science and Technology, Shizuoka University, 4328561, Hamamatsu, Japan aut Journal of Mathematical Biology Springer-Verlag 63/1(2011-07-01), 125-139 0303-6812 63:1<125 2011 63 285 https://doi.org/10.1007/s00285-010-0368-2 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00285-010-0368-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Huang Gang Graduate School of Science and Technology, Shizuoka University, 4328561, Hamamatsu, Japan aut NATIONALLICENCE 700 1- Takeuchi Yasuhiro Graduate School of Science and Technology, Shizuoka University, 4328561, Hamamatsu, Japan aut NATIONALLICENCE 773 0- Journal of Mathematical Biology Springer-Verlag 63/1(2011-07-01), 125-139 0303-6812 63:1<125 2011 63 285 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer