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

Abstract In this paper, we will discuss the problem of chaos and control of a stochastic lattice gas model for prey-predator. Such system follows a stochastic dynamics 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.