A stage structured predator-prey model with periodic orbits

This paper studies the existence and multiplicity of periodic orbits a stage-structured predator-prey model with Beddington-DeAngelis functional response. We derive an criterion orbit in terms inequalities system's nine parameters prove that system admits at least two limit cycles or three via subcritical Hopf bifurcation generalized theory hypersurface theory. also each one-parameter possesses one cycle when it is larger smaller than its bifurcating value, between values. Combining theoretic analysis numerical simulations, we investigate global bifurcations for varying parameter system, which provides plenty properties again suggests has cycles. Similar results are obtained without mutual interference.