Abstract
A stochastic delay predator-prey system is considered. Sufficient criteria for global existence, stochastically ultimately bounded in mean and almost surely asymptotic properties are obtained.
Highlights
One important component of the predator-prey relation is predator’s functional response, i.e., the rate of prey consumption by an average predator
We have studied a fundamental problem in population systems, namely stochastically ultimate boundedness
This paper deals with a kind of delay stochastic population system, while most of existing results are concerned with the non-delayed cases
Summary
One important component of the predator-prey relation is predator’s functional response, i.e., the rate of prey consumption by an average predator. Many authors have studied the delay prey-predator system, see, e.g., [ – ]. Stochastic population models have recently been investigated by many authors; see, e.g., [ – ].
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