Lyapunov functions and global properties for SEIR and SEIS epidemic models.
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.
Korobeinikov
Andrei
A
Centre for Mathematical Biology, Mathematical Institute, University of Oxford, 24-29 St Giles', Oxford OX1 3LB, UK. korobeinikov@maths.ox.ac.uk
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