Application Of Backstep Control In Diseased Prey-Predator System

Authors

V. Madhusudanan, Department of Mathematics, S.A.Engineering College, Chennai-77, IndiaFollow
B. R. Tapas Bapu, Department of Electronics and Communication Engineering , S. A. Engineering College, Chennai-77, IndiaFollow
V. Nagaraju, Department of Electronics and Communication Engineering , S. A. Engineering College, Chennai-77, IndiaFollow
S. Pradeep, Department of Electronics and Communication Engineering , S. A. Engineering College, Chennai-77, IndiaFollow

Author Country (or Countries)

India

Abstract

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.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/110319

Recommended Citation

Madhusudanan, V.; R. Tapas Bapu, B.; Nagaraju, V.; and Pradeep, S. (2017) "Application Of Backstep Control In Diseased Prey-Predator System," Applied Mathematics & Information Sciences: Vol. 11: Iss. 3, Article 19.
DOI: http://dx.doi.org/10.18576/amis/110319
Available at: https://digitalcommons.aaru.edu.jo/amis/vol11/iss3/19