TY - JOUR
T1 - Michaelis-Menten-Type Prey Harvesting in Discrete Modified Leslie-Gower Predator-Prey Model
AU - Khan, M. Saqib
AU - Abbas, Mujahid
AU - Bonyah, Ebenezer
AU - Qi, Hengxiao
N1 - Publisher Copyright:
© 2022 M. Saqib Khan et al.
PY - 2022
Y1 - 2022
N2 - A discrete-time Michaelis-Menten-type prey harvesting is discussed in this paper, in the modified Leslie-Gower predator-prey model. Detailed analysis of the topology of nonnegative interior fixed points is given, including their existence and stability dynamics. Also, the conditions for the existence of flip and Neimark-Sacker bifurcations are derived by using the center manifold theorem and bifurcation theory. The numerical simulations are provided, using a computer package, to illustrate the consistency of theoretical results.
AB - A discrete-time Michaelis-Menten-type prey harvesting is discussed in this paper, in the modified Leslie-Gower predator-prey model. Detailed analysis of the topology of nonnegative interior fixed points is given, including their existence and stability dynamics. Also, the conditions for the existence of flip and Neimark-Sacker bifurcations are derived by using the center manifold theorem and bifurcation theory. The numerical simulations are provided, using a computer package, to illustrate the consistency of theoretical results.
UR - https://www.scopus.com/pages/publications/85127051646
U2 - 10.1155/2022/9575638
DO - 10.1155/2022/9575638
M3 - Article
AN - SCOPUS:85127051646
SN - 2314-8896
VL - 2022
JO - Journal of Function Spaces
JF - Journal of Function Spaces
M1 - 9575638
ER -