title: Lyapunov functions and global properties for SEIR and SEIS epidemic models.
abstract: Lyapunov functions for classic SEIR and SEIS compartmental epidemic models, including those with vertical and horizontal transmission, are introduced. Global properties of the models is thereby established.
authors.affiliation: Centre for Mathematical Biology, Mathematical Institute, University of Oxford, 24-29 St Giles', Oxford OX1 3LB, UK. korobeinikov@maths.ox.ac.uk
authors.forename: Andrei
authors.initials: A
authors.lastname: Korobeinikov
mesh_terms: D003141:Communicable Diseases / Q000453:epidemiology* / Q000635:transmission; D018562:Disease Transmission, Infectious; D004812:Epidemiologic Methods; D006801:Humans; D018445:Infectious Disease Transmission, Vertical; D008954:Models, Biological; D015233:Models, Statistical