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Computational Ecology and Software, 2017, 7(4): 153-166
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Article

Period-doubling bifurcation and chaos control in a discrete-time mosquito model

Qamar Din, Muhammad Asif Khan
Department of Mathematics, The University of Poonch Rawalakot, Rawalakot 12350, Pakistan

Received 19 August 2017;Accepted 25 September 2017;Published 1 December 2017
IAEES

Abstract
This article deals with the study of some qualitative properties of a discrete-time mosquito Model. It is shown that there exists period-doubling bifurcation for wide range of bifurcation parameter for the unique positive steady-state of given system. In order to control the bifurcation we introduced a feedback strategy. For further confirmation of complexity and chaotic behavior largest Lyapunov exponents are plotted.

Keywords mosquito model;period-doubling bifurcation;hybrid control.

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