Korobeinikov, A. and Maini, P. K. (2004) A Lyapunov function and global properties for SIR and SEIR epidemiological models with nonlinear incidence. Mathematical Biosciences and Engineering, 1 (1). pp. 57-60.
Explicit Lyapunov functions for SIR and SEIR compartmental epidemic models with nonlinear incidence of the form for the case p<1 are constructed. Global stability of the models is thereby established.
|Uncontrolled Keywords:||Direct Lyapunov method, endemic equilibrium state, globabl stability, nonlinear incidence.|
|Subjects:||A - C > Biology and other natural sciences|
|Research Groups:||Centre for Mathematical Biology|
|Deposited By:||Philip Maini|
|Deposited On:||16 Nov 2006|
|Last Modified:||20 Jul 2009 14:20|
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