eng International Academy of Ecology and Environmental Sciences Network Biology 2220-8879 2019-9-1 9 3 58 77 2 article Muhammad Salman Khan 1 2 Muhammad Asif Khan 1 2 Muhammad Sajjad Shabbir 1 2 Qamar Din 1 2 Department of Mathematics, Quaid-I-Azam University Islamabad, 44230, Pakistan Department of Mathematics, University of the PoonchRawalakot, Rawalakot 12350, Pakistan Department of Mathematics, Air University Islamabad, 44230, Pakistan This paper deals with the qualitative study of a discrete-time prey-predator model with Holling type-II response. Particularly, we obtained a dynamically consistent prey-predator discrete-time model by applying a nonstandard difference scheme. We explore the novel explicate parametric conditions for the local stability of positive equilibrium point. Moreover, it is shown that there exists Nimark-sacker bifurcation for the unique positive steady-state of given system. In order to control the bifurcation, we introduced a new control strategy. Moreover, some interesting numerical simulations are provided in order to verify the theoretical discussion and to explore the effectiveness and feasibility of new design control strategy. http://www.iaees.org/publications/journals/nb/articles/2019-9(3)/stability-bifurcation-and-chaos-control-in-a-prey-predator-model.pdf prey-predator model Holling type-II response nonstandard difference scheme Nimark-sacker bifurcation comparison of control techniques