Korean Journal of Mathematics
- Volume 13 Issue 2
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- Pages.149-159
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- 2005
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- 1976-8605(pISSN)
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- 2288-1433(eISSN)
STABILITY OF POSITIVE PERIODIC NUMERICAL SOLUTION OF AN EPIDEMIC MODEL
- Kim, Mi-Young (Department of Mathematics Inha University)
- Received : 2005.06.12
- Published : 2005.09.30
Abstract
We study an age-dependent s-i-s epidemic model with spatial diffusion. The model equations are described by a nonlinear and nonlocal system of integro-differential equations. Finite difference methods along the characteristics in age-time domain combined with finite elements in the spatial variable are applied to approximate the solution of the model. Stability of the discrete periodic solution is investigated.
Keywords
- s-i-s epidemic model;
- integro-differential equation;
- Galerkin method;
- method of characteristics;
- error estimates;
- asymptotic behavior