Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 20, Issue 3, Pages 965-974Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cnsns.2014.06.023
Keywords
Predator-prey model; Impulsive effects; Persistence and extinction; Stochastically ultimate boundedness
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Funding
- National Natural Science Foundation of P.R. China [11301112, 11171081, 11171056, 11301207]
- Natural Scientific Research Innovation Foundation in Harbin [HIT.NSRIF.2015103]
- Natural Science Foundation of Jiangsu Province [BK20130411]
- Natural Science Foundation of Heilongjiang Province [A201420]
- Natural Science Research Project of Ordinary Universities in Jiangsu Province [13KJB110002]
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This paper is concerned with a stochastic non-autonomous Lotka-Volterra predator-prey model with impulsive effects. The asymptotic properties are examined. Sufficient conditions for persistence and extinction are obtained, our results demonstrate that the impulse has important effects on the persistence and extinction of the species. We also show that the solution is stochastically ultimate bounded under some conditions. Finally, several simulation figures are introduced to confirm our main results. (C) 2014 Elsevier B.V. All rights reserved.
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