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Persistence and extinction of a stochastic delay predator-prey model in a polluted environment

  • Zhenhai Liu EMAIL logo and Qun Liu
Published/Copyright: April 26, 2016
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Mathematica Slovaca
From the journal Mathematica Slovaca Volume 66 Issue 1

Abstract

In this paper, we study a stochastic delay predator-prey model in a polluted environment. Sufficient criteria for extinction and non-persistence in the mean of the model are obtained. The critical value between persistence and extinction is also derived for each population. Finally, some numerical simulations are provided to support our main results.

Keywords: persistence; extinction; delay; pollutant; stochastic perturbations
MSC: Primary 26A33; 34K37

NNSF of China Grant Nos.11271087 and 61263006, NSF of Guangxi Grant No. 2014GXNSFDA118002 and Special Funds of Guangxi Distinguished Experts Construction Engineering.

  1. This paper has been communicated by Michal Fečkan.

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Received: 2012-7-20
Accepted: 2013-8-9
Published Online: 2016-4-26
Published in Print: 2016-2-1

© 2016 Mathematical Institute Slovak Academy of Sciences

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https://doi.org/10.1515/ms-2015-0119
Keywords for this article
persistence; extinction; delay; pollutant; stochastic perturbations

Articles in the same Issue

  1. Research Article
  2. Prof. RNDr. Ján Jakubík, DrSc. passed away
  3. Research Article
  4. On the number of slim, semimodular lattices
  5. Research Article
  6. Quantum computational algebra with a non-commutative generalization
  7. Research Article
  8. Lexico groups and direct products of lattice ordered groups
  9. Research Article
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  11. Research Article
  12. On representation of quasi-Hopf group coalgebras
  13. Research Article
  14. On the q-Bernstein polynomials of the logarithmic function in the case q > 1
  15. Research Article
  16. On some modification of Darboux property
  17. Research Article
  18. Separating sets by peripherally continuous functions
  19. Research Article
  20. Persistence and extinction of a stochastic delay predator-prey model in a polluted environment
  21. Research Article
  22. On O’Malley preponderantly continuous functions
  23. Research Article
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  27. Research Article
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