## Detail Information

### Publications

- Lyapunov functions and global properties for SEIR and SEIS epidemic modelsAndrei Korobeinikov

Centre for Mathematical Biology, Mathematical Institute, University of Oxford, 24 29 St Giles, Oxford OX1 3LB, UK*Math Med Biol*21:75-83. 2004..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... - Global properties of infectious disease models with nonlinear incidenceAndrei Korobeinikov

Laboratory of Nonlinear Science and Computation, Research Institute for Electronic Science, Hokkaido University, Sapporo, 060 0812, Japan*Bull Math Biol*69:1871-86. 2007..This state can be either endemic, or infection-free, depending on the value of the basic reproduction number... - Lyapunov functions and global stability for SIR and SIRS epidemiological models with non-linear transmissionAndrei Korobeinikov

Laboratory of Nonlinear Science and Computation, Research Institute for Electronic Science, Hokkaido University, Sapporo, 060 0812, Japan*Bull Math Biol*68:615-26. 2006.... - Non-linear incidence and stability of infectious disease modelsAndrei Korobeinikov

Centre for Mathematical Biology, Mathematical Institute, University of Oxford, 24 29 St Giles, Oxford OX1 3LB, UK*Math Med Biol*22:113-28. 2005..We demonstrate this result using a SIRS model and a SEIRS model as case studies. For other compartment epidemic models, the analysis is quite similar, and the same conclusion, namely stability of the equilibrium states, holds...