Estimation of Parameters and Optimal Control of The Genital Herpes Epidemic Model

Journal Article

• Publication Work Type: PHD
• Magazine \ Newspaper: Canadian Journal on Science and Engineering Mathematics.
• Issue Number: No. 1
• Volume Number: Vol. 2,
• Pages: 31-41

Publication Abstract

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

will be derived. The controlled model will be presented

graphically. Illustrative examples for the dynamical

estimators of unknown rates of the model will be presented.

The percentage errors in these estimators will be calculated.

Finally, the optimal control inputs with respect to a selected

measure will be derived