Author(s)

Saba Mohammed Alwan

Department of Mathematics and Computer Science, Faculty of Science, Ibb University, Ibb, Yemen.

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.

Stochastic Lattice Gas Model, Prey-Predator, Updating Rules, Estimation, System State

Alwan, S. (2016) Chaos Behavior and Estimation of the Unknown Parameters of Stochastic Lattice Gas for Prey-Predator Model with Pair-Approximation. Applied Mathematics, 7, 1765-1779. doi: 10.4236/am.2016.715148.