Geodesic
On a three-species stochastic hybrid Lotka-Volterra system with distributed delay and Lévy noise
Filomat, Tome 36 (2022) no. 14, p. 4737

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DOI

In this paper, a three-species stochastic hybrid Lotka-Volterra system with distributed delay and Lévy noise is proposed and studied by using stochastic analytical techniques. First, the existence and uniqueness of global positive solution with positive initial condition is proved. Then, sufficient conditions for persistence in mean and extinction of each species are established. Finally, some numerical simulations are provided to support our results.
DOI : 10.2298/FIL2214737W
Classification : 60H10, 60H30
Keywords: Stochastic Lotka-Volterra system, Markovian switching, Distributed delay, Lévy noise, Persistence 
Sheng Wang; Guixin Hu; Tengda Wei. On a three-species stochastic hybrid Lotka-Volterra system with distributed delay and Lévy noise. Filomat, Tome 36 (2022) no. 14, p. 4737 . doi: 10.2298/FIL2214737W
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     title = {On a three-species stochastic hybrid {Lotka-Volterra} system with distributed delay and {L\'evy} noise},
     journal = {Filomat},
     pages = {4737 },
     year = {2022},
     volume = {36},
     number = {14},
     doi = {10.2298/FIL2214737W},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2214737W/}
}
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