Summary: This paper presents a bifurcation analysis of a modified Leslie-Gower predator-prey model with harvesting in the prey. The model studied in this paper is characterised by the predator and prey population growth is a logistic type function where the predator carrying capacity is a prey dependent. Additionally, the author considered Holling type IV functional response and nonlinear harvesting in prey. By using analytical and numerical analysis the authors proved the stability of the equilibrium points. The authors also illustrate the conditions which are necessary for the model to undergo a period-doubling bifurcation and Neimark-Sacker bifurcation at a positive equilibrium point. Finally, It has been shown a chaos control through the implementation of pole-placement and hybrid feedback control methods. The authors concluded that the hybrid control depends on feedback control and parameter perturbation.

For further information pertaining to this item see: M. Ajaz, U. Saeed, Q. Din, I. Ali and M. Siddiqui, Bifurcation analysis and chaos control in discrete-time modified Leslie-Gower prey harvesting model, Adv. Difference Equ. 2020, Paper No. 45, 24pp.