Andrei Korobeinikov

Summary

Affiliation: Hokkaido University
Country: Japan

Publications

  1. ncbi request reprint Lyapunov functions and global properties for SEIR and SEIS epidemic models
    Andrei 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
  2. ncbi request reprint Global properties of infectious disease models with nonlinear incidence
    Andrei 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
  3. ncbi request reprint Lyapunov functions and global stability for SIR and SIRS epidemiological models with non-linear transmission
    Andrei 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
  4. ncbi request reprint Non-linear incidence and stability of infectious disease models
    Andrei 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

Collaborators

Detail Information

Publications4

  1. ncbi request reprint Lyapunov functions and global properties for SEIR and SEIS epidemic models
    Andrei 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...
  2. ncbi request reprint Global properties of infectious disease models with nonlinear incidence
    Andrei 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...
  3. ncbi request reprint Lyapunov functions and global stability for SIR and SIRS epidemiological models with non-linear transmission
    Andrei 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
    ....
  4. ncbi request reprint Non-linear incidence and stability of infectious disease models
    Andrei 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...