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Modelling and analysis of a prey-predator system with stage-structure and harvesting. (English) Zbl 1152.34374
Summary: 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.
MSC:
34K20Stability theory of functional-differential equations
92D25Population dynamics (general)
37N25Dynamical systems in biology