Ordinary Differential Equations and Applications II: with Maple Illustrations

Author(s): Benjamin Oyediran Oyelami * .

DOI: 10.2174/9789815313864124010014

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Stability Property of Some Neural Firing and Avian Influenza Infection Models

Pp: 126-172 (46)

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Abstract

The stability property of equilibrium points of some neural network models is investigated. We have introduced different types of Lyapunov functions to carry out the investigation. The models considered are: Grossberg, Hopfield, Fitz-Nagomo and Fitzhugh models, respectively. The equilibrium points and stability conditions are obtained for the Avian influenza infection. The conditions for bio economic equilibrium points for the fish model were also obtained.

Keywords:

Bio-economic equilibrium point, Equilibrium points, Fish model, FitzNagomo models, Fitzhugh model, Grossberg, Hopfield, Lyapunov functions, Neural network models, Stability property.

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