Geodesic
Permanence and asymptotic behaviors of stochastic competitive Lotka-Volterra system with Markov switching and Lévy noise
Filomat, Tome 33 (2019) no. 19, p. 6115

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DOI

This paper concerns the dynamics of a stochastic competitive Lotka-Volterra system with Markov switching and Lévy noise. The results show that stochastic permanence and extinction are characterized by two parameters B 1 and B 2 : if B 1 B 2 0, then the system is either stochastically permanent or extinctive. That is, it is extinctive if and only if B 1 0 and B 2 0; otherwise, it is stochastically permanent. Some existing results are included as special cases
DOI : 10.2298/FIL1919115W
Classification : 60H10, 60J75, 60J28
Keywords: Stochastic permanence, Lotka-Volterra, Markov chain, Lévy noise 
Sheng Wang; Guixin Hu; Linshan Wang. Permanence and asymptotic behaviors of stochastic competitive Lotka-Volterra system with Markov switching and Lévy noise. Filomat, Tome 33 (2019) no. 19, p. 6115 . doi: 10.2298/FIL1919115W
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     author = {Sheng Wang and Guixin Hu and Linshan Wang},
     title = {Permanence and asymptotic behaviors of stochastic competitive {Lotka-Volterra} system with {Markov} switching and {L\'evy} noise},
     journal = {Filomat},
     pages = {6115 },
     year = {2019},
     volume = {33},
     number = {19},
     doi = {10.2298/FIL1919115W},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL1919115W/}
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