Lazarus Kalvein Beay, Maryone Saija
A modified Leslie-Gower predator-prey model with stage-structure and Michaelis-Menten type harvesting in prey is proposed and studied in this work. Here, the population is divided into three sub-populations namely immature prey and mature prey as well as predator. We assume that the predator only consumes immature prey. In addition, the harvesting process only considered in the immature prey population. We investigated the existence of all possible equilibrium states of the system and discuss the stability of equilibrium state. The results has been shown that by the change of parameters, all population could eventually coexist, become extinct, or predator population will be driven to extinction and the prey population will coexist, or else the prey to extinction and the predator will exist. Furthermore, the harvesting process in the immature prey have an impact on the dynamical behaviour of system. Numerical simulations are presented to confirm the analytical results. © 2022 American Institute of Physics Inc.. All rights reserved.
Department of Mathematics, Universitas Padjadjaran, Indonesia; Department of Education and Culture, Provincial Government of Moluccas, Indonesia; Department of Chemistry Education, State University of Malang, Indonesia; Department of Biology Education, Gotong Royong College of Teacher Training and Education, Indonesia