Dynamics of a stochastic ratio-dependent predator-prey model

Nguyen Thi Hoai Linh; Ta Viet Ton

doi:10.1142/S0219530511001868

Dynamics of a stochastic ratio-dependent predator-prey model

Nguyen Thi Hoai Linh, Ta Viet Ton

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	329-344
Number of pages	16
Journal	Analysis and Applications
Volume	9
Issue number	3
DOIs	https://doi.org/10.1142/S0219530511001868
Publication status	Published - Jul 2011
Externally published	Yes

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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abstract = "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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AB - 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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Dynamics of a stochastic ratio-dependent predator-prey model

Abstract

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