Premium
On a stochastic predator‐prey system with modified functional response
Author(s) -
Lv Jingliang,
Wang Ke
Publication year - 2011
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1543
Subject(s) - functional response , mathematics , predation , predator , comparison theorem , mathematical economics , control theory (sociology) , mathematical optimization , ecology , biology , computer science , artificial intelligence , control (management)
A stochastic predator–prey system with modified functional response is investigated. We show that there is a unique positive solution to the model for any positive initial value by comparison theorem. Moreover, under some conditions, we conclude that the stochastic model is persistent in mean and extinct. Copyright © 2011 John Wiley & Sons, Ltd.