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Your search keyword '"Itô’s formula"' showing total 1 results
Start Over Descriptor "Itô’s formula" Topic biological mathematical modeling Topic computer simulation Topic stochastic analysis
1 results on '"Itô’s formula"'

1. Analysis of a predator–prey model with modified Leslie–Gower and Holling-type II schemes with stochastic perturbation

Author

Ji, Chunyan, Jiang, Daqing, and Shi, Ningzhong

Subjects
*NUMERICAL analysis, *BIOLOGICAL mathematical modeling, *PREDATION, *STOCHASTIC analysis, *PERTURBATION theory, *COMPUTER simulation, *BIOLOGICAL extinction
Abstract

Abstract: In this paper, we consider a predator–prey model with modified Leslie–Gower and Holling-type II schemes with stochastic perturbation. We show there is a unique positive solution to the system with positive initial value, and mainly investigate the long time behavior of the system. Condition for the system to be extinct is given and persistent condition is established. At last, numerical simulations are carried out to support our results. [Copyright &y& Elsevier]

Published
2009
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