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Qualitative analysis of a stochastic ratio-dependent predator–prey system

✍ Scribed by Chunyan Ji; Daqing Jiang; Xiaoyue Li

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
434 KB
Volume
235
Category
Article
ISSN
0377-0427

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✦ Synopsis

A stochastic ratio-dependent predator-prey model is investigated in this paper. By the comparison theorem of stochastic equations and Itô's formula, we obtain the global existence of a positive unique solution of the ratio-dependent model. Besides, a condition for species to be extinct is given and a persistent condition is established. We also conclude that both the prey population and the ratio-dependent function are stable in time average. In the end, numerical simulations are carried out to confirm our findings.

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