title: A lyapunov function and global properties for sir and seir epidemiological models with nonlinear incidence.
abstract: Explicit Lyapunov functions for SIR and SEIR compartmental epidemic models with nonlinear incidence of the form betaI(p)S(q) for the case p </= 1 are constructed. Global stability 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. korobein@maths.ox.ac.uk.
authors.forename: Andrei
authors.initials: A
authors.lastname: Korobeinikov
authors.forename: Philip K
authors.initials: PK
authors.lastname: Maini