Dynamic of a stochastic predator-prey population

Atsushi Yagi; Ta Viet Ton

doi:10.1016/j.amc.2011.08.037

Dynamic of a stochastic predator-prey population

Atsushi Yagi, Ta Viet Ton

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

19 Citations (Scopus)

Abstract

A stochastic predator-prey model is studied. Firstly, we prove the existence, uniqueness and positivity of the solution. Then, we show the upper bounds for moments and growth rate of population. In some cases, the growth rate is negative and the population dies out rapidly. The paper ends with some reviews for the paper [13].

Original language	English
Pages (from-to)	3100-3109
Number of pages	10
Journal	Applied Mathematics and Computation
Volume	218
Issue number	7
DOIs	https://doi.org/10.1016/j.amc.2011.08.037
Publication status	Published - Dec 1 2011
Externally published	Yes

All Science Journal Classification (ASJC) codes

Computational Mathematics
Applied Mathematics

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10.1016/j.amc.2011.08.037

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title = "Dynamic of a stochastic predator-prey population",

abstract = "A stochastic predator-prey model is studied. Firstly, we prove the existence, uniqueness and positivity of the solution. Then, we show the upper bounds for moments and growth rate of population. In some cases, the growth rate is negative and the population dies out rapidly. The paper ends with some reviews for the paper [13].",

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AB - A stochastic predator-prey model is studied. Firstly, we prove the existence, uniqueness and positivity of the solution. Then, we show the upper bounds for moments and growth rate of population. In some cases, the growth rate is negative and the population dies out rapidly. The paper ends with some reviews for the paper [13].

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Dynamic of a stochastic predator-prey population

Abstract

All Science Journal Classification (ASJC) codes

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