Abstract | ||
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•A stochastic mutualism model with Lévy jumps is proposed and studied.•We show that the positive solution of the system is stochastically ultimate bounded.•We establish sufficient and necessary conditions for the stochastic permanence and extinction of the system.•The results show an important property of the Lévy jumps: they are unfavorable for the permanence of the species. |
Year | DOI | Venue |
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2017 | 10.1016/j.cnsns.2016.05.003 | Communications in Nonlinear Science and Numerical Simulation |
Keywords | DocType | Volume |
Mutualism model,Lévy jumps,Stochastically ultimate boundedness,Stochastic permanence and extinction | Journal | 43 |
ISSN | Citations | PageRank |
1007-5704 | 3 | 0.48 |
References | Authors | |
2 | 9 |
Name | Order | Citations | PageRank |
---|---|---|---|
Qun Liu | 1 | 6 | 1.30 |
Qun Liu | 2 | 6 | 1.30 |
Daqing Jiang | 3 | 176 | 43.11 |
Daqing Jiang | 4 | 19 | 4.80 |
Daqing Jiang | 5 | 19 | 4.80 |
Ningzhong Shi | 6 | 3 | 0.48 |
Tasawar Hayat | 7 | 999 | 71.98 |
Tasawar Hayat | 8 | 999 | 71.98 |
A. Alsaedi | 9 | 749 | 63.55 |