Abstract:
This article discusses the Lotka–Volterra predator–prey system with fear effect to the
prey and predator has other food resource. It is shown that the system has a trivial
equilibrium point and a free equilibrium point predator which are both unstable,
and depend on certain conditions. The system also has a free equilibrium point
prey and a global asymptote stable positive equilibrium point. Model simulation
is carried out with certain parameters to describe the behavior and stability of the
equilibrium point as well as the relationship between species prey and the effect of
fear.