Modelling and analysis of a prey–predator system with stage-structure and harvesting

In this paper, we have considered a prey–predator-type fishery model with Beddington–DeAngelis functional response and selective harvesting of predator species. We have established that when the time delay is zero, the interior equilibrium is globally asymptotically stable provided it is locally asymptotically stable. It is also shown that the time delay can cause a stable equilibrium to become unstable and even a switching of stabilities. Lastly, some numerical simulations are carried out.