caa a22 4500 605519927 CHVBK 20210128100732.0 cr unu---uuuuu 210128e20150601xx s 000 0 eng 10.1007/s11009-013-9383-2 doi (NATIONALLICENCE)springer-10.1007/s11009-013-9383-2 Analysis on a Stochastic Two-Species Ratio-Dependent Predator-Prey Model [Elektronische Daten] [Jingliang Lv, Ke Wang, Dongdong Chen] 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. Springer Science+Business Media New York, 2013 Predator-prey nationallicence Stochastically ultimately boundedness nationallicence Comparison theorem nationallicence Persistence in mean nationallicence Lv Jingliang Department of Mathematics, Harbin Institute of Technology (Weihai), 264209, Weihai, People's Republic of China aut Wang Ke Department of Mathematics, Harbin Institute of Technology (Weihai), 264209, Weihai, People's Republic of China aut Chen Dongdong Department of Mathematics, Harbin Institute of Technology (Weihai), 264209, Weihai, People's Republic of China aut Methodology and Computing in Applied Probability Springer US; http://www.springer-ny.com 17/2(2015-06-01), 403-418 1387-5841 17:2<403 2015 17 11009 https://doi.org/10.1007/s11009-013-9383-2 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s11009-013-9383-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Lv Jingliang Department of Mathematics, Harbin Institute of Technology (Weihai), 264209, Weihai, People's Republic of China aut NATIONALLICENCE 700 1- Wang Ke Department of Mathematics, Harbin Institute of Technology (Weihai), 264209, Weihai, People's Republic of China aut NATIONALLICENCE 700 1- Chen Dongdong Department of Mathematics, Harbin Institute of Technology (Weihai), 264209, Weihai, People's Republic of China aut NATIONALLICENCE 773 0- Methodology and Computing in Applied Probability Springer US; http://www.springer-ny.com 17/2(2015-06-01), 403-418 1387-5841 17:2<403 2015 17 11009