Abstract — In this paper, the stochastic probability

model of genital herpes epidemic system and the proposed

transitions in this model will be discussed. The local

stability analysis and chaotic behavior of the model will be

studied. Numerical solution and the chaotic behavior of

the model will be shown graphically. The dynamical

estimators of the unknown rates and their up- dating rules

a b s t r a c t

The present paper discusses chaos, estimation and optimal control of the habitat

destruction model with unknown parameters. The linear stability analysis of the steady

states of the model will be discussed. Further, the chaotic behavior of this system will be

investigated. The dynamic estimators of the unknown parameters and their updating rules

are derived. Using Pontryagin principle, the optimal control inputs are derived with respect

to a selected measure. Finally, a numerical simulation study for various parameters and

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