Persistence and extinction of a stochastic delay predator-prey model under regime switching

Zhen Hai Liu; Qun Liu

Applications of Mathematics (2014)

  • Volume: 59, Issue: 3, page 331-343
  • ISSN: 0862-7940

Abstract

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The paper is concerned with a stochastic delay predator-prey model under regime switching. Sufficient conditions for extinction and non-persistence in the mean of the system are established. The threshold between persistence and extinction is also obtained for each population. Some numerical simulations are introduced to support our main results.

How to cite

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Liu, Zhen Hai, and Liu, Qun. "Persistence and extinction of a stochastic delay predator-prey model under regime switching." Applications of Mathematics 59.3 (2014): 331-343. <http://eudml.org/doc/261196>.

@article{Liu2014,
abstract = {The paper is concerned with a stochastic delay predator-prey model under regime switching. Sufficient conditions for extinction and non-persistence in the mean of the system are established. The threshold between persistence and extinction is also obtained for each population. Some numerical simulations are introduced to support our main results.},
author = {Liu, Zhen Hai, Liu, Qun},
journal = {Applications of Mathematics},
keywords = {persistence; extinction; Markov switching; delay; stochastic perturbations; persistence; extinction; Markov switching; delay; stochastic perturbations},
language = {eng},
number = {3},
pages = {331-343},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Persistence and extinction of a stochastic delay predator-prey model under regime switching},
url = {http://eudml.org/doc/261196},
volume = {59},
year = {2014},
}

TY - JOUR
AU - Liu, Zhen Hai
AU - Liu, Qun
TI - Persistence and extinction of a stochastic delay predator-prey model under regime switching
JO - Applications of Mathematics
PY - 2014
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 59
IS - 3
SP - 331
EP - 343
AB - The paper is concerned with a stochastic delay predator-prey model under regime switching. Sufficient conditions for extinction and non-persistence in the mean of the system are established. The threshold between persistence and extinction is also obtained for each population. Some numerical simulations are introduced to support our main results.
LA - eng
KW - persistence; extinction; Markov switching; delay; stochastic perturbations; persistence; extinction; Markov switching; delay; stochastic perturbations
UR - http://eudml.org/doc/261196
ER -

References

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