Applied Mathematics & Information Sciences

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In this paper,backstep control is employed to a three species diseased biological system having two prey viz. susceptible and infected prey and a predator. Using the back stepping control design, the controllability conditions are framed. The non-linear feedback control approach is implemented to derive the global asymptotic stability conditions for the biological system. Diverse set of parametric value are used and the corresponding chaotic behavior of the system is obtained. Finally numerical simulations by Matlab are executed to explore the effect of back stepping control in the system.

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