Stochastic Lotka–Volterra mutualism model with jumps

Autor: Olga Borysenko, Oleksandr Borysenko
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Modern Stochastics: Theory and Applications, Vol 11, Iss 3, Pp 289-301 (2024)
Druh dokumentu: article
ISSN: 2351-6046
2351-6054
DOI: 10.15559/23-VMSTA242
Popis: The existence and uniqueness of the global positive solution are proved for the system of stochastic differential equations describing a two-species Lotka–Volterra mutualism model disturbed by white noise, centered and noncentered Poisson noises. For the considered system, sufficient conditions of stochastic ultimate boundedness, stochastic permanence, nonpersistence and strong persistence in the mean are obtained.
Databáze: Directory of Open Access Journals