Abstract
In this paper, the effect of feedback linearization in Leslie–Gower type prey-predator model with Holling-type IV functional response is investigated. It is shown that the closed loop system may be stabilized using either approximate or exact linear approach. The former approach uses a linear control variable to provide a feedback linearization law whereas in latter approach, state space coordinates are suitably changed. Using this feedback control, a complex non-linear system is reduced to a linear controlled system that yields a globally asymptotically stable equilibrium point. Finally Analytical findings are validated through numerical simulations.
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Singh, A. (2016). Stabilization of Prey Predator Model via Feedback Control. In: Cushing, J., Saleem, M., Srivastava, H., Khan, M., Merajuddin, M. (eds) Applied Analysis in Biological and Physical Sciences. Springer Proceedings in Mathematics & Statistics, vol 186. Springer, New Delhi. https://doi.org/10.1007/978-81-322-3640-5_10
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DOI: https://doi.org/10.1007/978-81-322-3640-5_10
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