TY - JOUR ID - TI - The Dynamics of Modified Leslie-Gower Predator-Prey Model Under the Influence of Nonlinear Harvesting and Fear Effect AU - Saad Al-Momen AU - Raid Kamil Naji PY - 2022 VL - 63 IS - 1 SP - 259 EP - 282 JO - Iraqi Journal of Science المجلة العراقية للعلوم SN - 00672904 23121637 AB - A modified Leslie-Gower predator-prey model with fear effect and nonlinearharvesting is developed and investigated in this study. The predator is supposed tofeed on the prey using Holling type-II functional response. The goal is to see howfear of predation and presence of harvesting affect the model's dynamics. Thesystem's positivity and boundlessness are demonstrated. All conceivable equilibria'sexistence and stability requirements are established. All sorts of local bifurcationoccurrence conditions are presented. Extensive numerical simulations of theproposed model are shown in form of Phase portraits and direction fields. That is toguarantee the correctness of the theoretical results of the dynamic behavior of thesystem and to confirm the existence of various forms of bifurcations. The fear rate isobserved to have a stabilizing effect up to a threshold value, after which it leads toprey extinction. The harvesting coefficients, on the other hand, serve as controlparameters that, when exceeded, trigger the system to extinction.

ER -