TITLE:
Chaos Behavior and Estimation of the Unknown Parameters of Stochastic Lattice Gas for Prey-Predator Model with Pair-Approximation
AUTHORS:
Saba Mohammed Alwan
KEYWORDS:
Stochastic Lattice Gas Model, Prey-Predator, Updating Rules, Estimation, System State
JOURNAL NAME:
Applied Mathematics,
Vol.7 No.15,
September
21,
2016
ABSTRACT: In this paper, the problem of chaos,
stability and estimation of unknown parameters of the stochastic lattice gas
for prey-predator model with pair-approximation is studied. The result shows
that this dynamical system exhibits an oscillatory behavior of the population
densities of prey and predator. Using Liapunov stability technique, the
estimators of the unknown probabilities are derived, and also the updating
rules for stability around its steady states are derived. Furthermore the
feedback control law has been as non-linear functions of the population
densities. Numerical simulation study is presented graphically.