Global stability of stage-structured predator–prey models with Beddington–DeAngelis functional response

Two stage-structured predator–prey systems with Beddington–DeAngelis functional response are proposed. The first one is deterministic. The Second one takes the random perturbation into account. For each system, sufficient conditions for global asymptotic stability are established. Some simulation figures are introduced to support the analytical findings.

Research highlights
► Two predator–prey models with stage-structure are proposed.
► The stochastic model will also be globally stable if the noise is not large.
► Simulation figures support the analytical findings.