caa a22 4500 445360887 CHVBK 20180317142914.0 cr unu---uuuuu 170323e20110301xx s 000 0 eng 10.1007/s11071-010-9826-z doi (NATIONALLICENCE)springer-10.1007/s11071-010-9826-z Analysis of stability and bifurcation for an SEIV epidemic model with vaccination and nonlinear incidence rate [Elektronische Daten] [Xueyong Zhou, Jingan Cui] In this paper, an SEIV epidemic model with vaccination and nonlinear incidence rate is formulated. The analysis of the model is presented in terms of the basic reproduction number R 0. It is shown that the model has multiple equilibria and using the center manifold theory, the model exhibits the phenomenon of backward bifurcation where a stable disease-free equilibrium coexists with a stable endemic equilibrium for a certain defined range of R 0. We also discuss the global stability of the endemic equilibrium by using a generalization of the Poincaré-Bendixson criterion. Numerical simulations are presented to illustrate the results. Springer Science+Business Media B.V., 2010 Epidemic model nationallicence Backward bifurcation nationallicence Global stability nationallicence Nonlinear incidence rate nationallicence Bendixson criterion nationallicence Zhou Xueyong School of Mathematical Sciences, Nanjing Normal University, 210046, Nanjing, Jiangsu, P.R. China aut Cui Jingan School of Science, Beijing University of Civil Engineering and Architecture, 100044, Beijing, P.R. China aut Nonlinear Dynamics Springer Netherlands 63/4(2011-03-01), 639-653 0924-090X 63:4<639 2011 63 11071 https://doi.org/10.1007/s11071-010-9826-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11071-010-9826-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Zhou Xueyong School of Mathematical Sciences, Nanjing Normal University, 210046, Nanjing, Jiangsu, P.R. China aut NATIONALLICENCE 700 1- Cui Jingan School of Science, Beijing University of Civil Engineering and Architecture, 100044, Beijing, P.R. China aut NATIONALLICENCE 773 0- Nonlinear Dynamics Springer Netherlands 63/4(2011-03-01), 639-653 0924-090X 63:4<639 2011 63 11071 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer