Global stability and bifurcation analysis on the dynamics of three interacting populations in prey-predator system

A mathematical model was proposed and analysed to study the dynamics of a system prey, primary predator super in which predators show Holing Type II functional response their respective prey. The substantially provides mechanism for improving survivability honeybee population halt negative impact Varroa-mite infestation on by introducing Pseudoscorpion serve as Varroa-mite. Also, significantly shows virus infested with virus-carrying global stability analysis Hopf-bifurcation interior steady state existence are studied explored. analytical results matched numerical developed.