A lyapunov function and global properties for sir and seir epidemiological models with nonlinear incidence.
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.
Korobeinikov
Andrei
A
Centre for Mathematical Biology, Mathematical Institute, University of Oxford, 24-29 St Giles', Oxford, OX1 3LB, UK. korobein@maths.ox.ac.uk.
Maini
Philip K
PK