Abstract
Abstract A SEIR epidemic model with nonlinear incidence rates, constant recruitment and disease-caused death in epidemiology is considered. It is shown that the global dynamics is completely determined by the contact number R 0 . If R 0 ⩽ 1, the disease-free equilibrium is globally stable and the disease dies out. If R 0 > 1, the unique endemic equilibrium is globally stable in the interior of the feasible region by using the methods established in Butler GJ, Freedman HI, Waltman P. Uniformly persistent systems, Proc Am Math Soc 1986;96:425–30, and the disease persists at the endemic equilibrium.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
