Non-Linear Effort dynamics for Harvesting in a Predator- Prey System

Abstract

In this paper, a non-linear harvesting of prey is considered in a prey-predator system. The predator is considered to be of modified Leslie- Gower type. The effort is taken as dynamic variable. The steady states of the system are determined and the dynamical behavior of the system for its all steady states is discussed under certain conditions. Necessary condition for global stability of the system is analyzed at the positive interior equilibrium point. Numerical simulations are carried out to explore the dynamics of the system for the suitable choice of parameters.

Keywords: Modified Leslie-Gower predation, Nonlinear Harvesting, stability, Numerical Simulations.