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A stochastic predator-prey model. (English) Zbl 1267.60084

Summary: A stochastic version of the classical predator-prey population model is considered through a simple birth-death formulation. The expected value of the process is obtained and shown to correspond to the deterministic predator- prey population model.

MSC:

60J25 Continuous-time Markov processes on general state spaces
92D25 Population dynamics (general)
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