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.
