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 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.
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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-…