Dynamic of a stochastic predator-prey population

Atsushi Yagi, Ta Viet Ton

Research output: Contribution to journalArticle

14 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 languageEnglish
Pages (from-to)3100-3109
Number of pages10
JournalApplied Mathematics and Computation
Volume218
Issue number7
DOIs
Publication statusPublished - Dec 1 2011
Externally publishedYes

Fingerprint

Predator-prey
Predator-prey Model
Positivity
Stochastic Model
Existence and Uniqueness
Die
Upper bound
Moment
Review

All Science Journal Classification (ASJC) codes

  • Computational Mathematics
  • Applied Mathematics

Cite this

Dynamic of a stochastic predator-prey population. / Yagi, Atsushi; Ton, Ta Viet.

In: Applied Mathematics and Computation, Vol. 218, No. 7, 01.12.2011, p. 3100-3109.

Research output: Contribution to journalArticle

@article{ee06f2dbb1cf4cf9977aacbfe563953b,
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].",
author = "Atsushi Yagi and Ton, {Ta Viet}",
year = "2011",
month = "12",
day = "1",
doi = "10.1016/j.amc.2011.08.037",
language = "English",
volume = "218",
pages = "3100--3109",
journal = "Applied Mathematics and Computation",
issn = "0096-3003",
publisher = "Elsevier Inc.",
number = "7",

}

TY - JOUR

T1 - Dynamic of a stochastic predator-prey population

AU - Yagi, Atsushi

AU - Ton, Ta Viet

PY - 2011/12/1

Y1 - 2011/12/1

N2 - 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].

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].

UR - http://www.scopus.com/inward/record.url?scp=80054971383&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=80054971383&partnerID=8YFLogxK

U2 - 10.1016/j.amc.2011.08.037

DO - 10.1016/j.amc.2011.08.037

M3 - Article

AN - SCOPUS:80054971383

VL - 218

SP - 3100

EP - 3109

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

SN - 0096-3003

IS - 7

ER -