Analysis on a Stochastic Two-Species Ratio-Dependent Predator-Prey Model

Verfasser / Beitragende:
[Jingliang Lv, Ke Wang, Dongdong Chen]
Ort, Verlag, Jahr:
2015
Enthalten in:
Methodology and Computing in Applied Probability, 17/2(2015-06-01), 403-418
Format:
Artikel (online)
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024 7 0 |a 10.1007/s11009-013-9383-2  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s11009-013-9383-2 
245 0 0 |a Analysis on a Stochastic Two-Species Ratio-Dependent Predator-Prey Model  |h [Elektronische Daten]  |c [Jingliang Lv, Ke Wang, Dongdong Chen] 
520 3 |a A stochastic two-species ratio-dependent predator-prey system is investigated. We show that there is a unique positive solution to the model for any positive initial value. Stochastically ultimate boundedness and uniform continuity are considered. Moreover, under some conditions, we conclude that the stochastic model is persistent in mean and extinct. Finally we introduce some figures to illustrate our main results. 
540 |a Springer Science+Business Media New York, 2013 
690 7 |a Predator-prey  |2 nationallicence 
690 7 |a Stochastically ultimately boundedness  |2 nationallicence 
690 7 |a Comparison theorem  |2 nationallicence 
690 7 |a Persistence in mean  |2 nationallicence 
700 1 |a Lv  |D Jingliang  |u Department of Mathematics, Harbin Institute of Technology (Weihai), 264209, Weihai, People's Republic of China  |4 aut 
700 1 |a Wang  |D Ke  |u Department of Mathematics, Harbin Institute of Technology (Weihai), 264209, Weihai, People's Republic of China  |4 aut 
700 1 |a Chen  |D Dongdong  |u Department of Mathematics, Harbin Institute of Technology (Weihai), 264209, Weihai, People's Republic of China  |4 aut 
773 0 |t Methodology and Computing in Applied Probability  |d Springer US; http://www.springer-ny.com  |g 17/2(2015-06-01), 403-418  |x 1387-5841  |q 17:2<403  |1 2015  |2 17  |o 11009 
856 4 0 |u https://doi.org/10.1007/s11009-013-9383-2  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s11009-013-9383-2  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Lv  |D Jingliang  |u Department of Mathematics, Harbin Institute of Technology (Weihai), 264209, Weihai, People's Republic of China  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Wang  |D Ke  |u Department of Mathematics, Harbin Institute of Technology (Weihai), 264209, Weihai, People's Republic of China  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Chen  |D Dongdong  |u Department of Mathematics, Harbin Institute of Technology (Weihai), 264209, Weihai, People's Republic of China  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Methodology and Computing in Applied Probability  |d Springer US; http://www.springer-ny.com  |g 17/2(2015-06-01), 403-418  |x 1387-5841  |q 17:2<403  |1 2015  |2 17  |o 11009