Chaos and Optimal Control of Stochastic Lattice of Prey-Predator with Unknown Probabilities

Journal Article

• Publication Work Type: PHD

Publication Abstract

Abstract

In this paper, we will discuss the problem of chaos and control of a stochas-

tic lattice gas model for prey-predator. Such system follows a stochastic dy-

namics composed of three Markovain sub-processes which are the birth of

prey; the death of prey and simultaneous birth of predator, and spontaneous

death of predator. The stability analysis and chaos of the stationary states of

one-site correlations will be discussed. The optimal control inputs that ensure

the asymptotic stability of unstable stationary states are derived. Estimators

of the unknown probabilities will be derived. Numerical simulation study will

be presented.

Keywords:Stochastic Lattice gas Model, Prey-Predator, Optimal Control, Mean

¯eld approximation, Estimation.