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arxiv: 1508.07401 · v1 · pith:V26MPXIRnew · submitted 2015-08-29 · 🧮 math.PR

Dynamics of a stochastic ratio-dependent predator-prey model

classification 🧮 math.PR
keywords modelpopulationpredator-preyratesratio-dependentstochasticboundednessconditions
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In this paper, we consider a stochastic ratio-dependent predator-prey model. We firstly prove the existence, uniqueness and positivity of the solutions. Then, the boundedness of moments of population are studied. Finally, we show the upper-growth rates and exponential death rates of population under some conditions.

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