WSEAS Transactions on Systems


Print ISSN: 1109-2777
E-ISSN: 2224-2678

Volume 17, 2018

Notice: As of 2014 and for the forthcoming years, the publication frequency/periodicity of WSEAS Journals is adapted to the 'continuously updated' model. What this means is that instead of being separated into issues, new papers will be added on a continuous basis, allowing a more regular flow and shorter publication times. The papers will appear in reverse order, therefore the most recent one will be on top.

Volume 17, 2018


Competitive Numerical Method for an Avian Influenza Model

AUTHORS: Settapat Chinviriyasit, Wirawan Chinviriyasit

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ABSTRACT: A competitive implicit finite-difference method for the numerical solution of an avian influenza model is constructed. The proposed numerical schemes have two fixed points which are identical to the critical points of the continuous model and it is shown that they have the same stability properties. It is shown further that the solution sequence is attracted from any set of initial conditions to the correct (stable) fixed point for an arbitrarily large time step. Numerical Simulations are confirmed and compared with well-known numerical methods.

KEYWORDS: Implicit finite-difference, Avian influenza

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WSEAS Transactions on Systems, ISSN / E-ISSN: 1109-2777 / 2224-2678, Volume 17, 2018, Art. #22, pp. 204-211


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