Abstract:
This article discusses the interaction between two populations namely prey and
predators, which is then investigated using the Leslie type with an increased functional
response. In the observed model, it is shown that the model has a predator-free
equilibrium point and a positive equilibrium point. It is indicated that the model
has saddle-type stability at the predator-free equilibrium point and several stability
at the positive equilibrium point, one of which is global asymptote stability as determined
using the Dulac function. Simulations of the model are carried out to describe
the dynamics and stability of the equilibrium points using certain parameters.
