Chaos, estimation and optimal control of habitat destruction model with uncertain parameters

Journal Article
نوع عمل المنشور: 
PHD
المجلة \ الصحيفة: 
Computers and Mathematics with Applications
الصفحات: 
4089–4099
مستخلص المنشور: 

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

different initial densities is presented.

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