Geodesic
Characterization of positive solution to stochastic competitor-competitor-cooperative model
Electronic Journal of Differential Equations, Tome 2013 (2013).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this article we study a randomized three-dimensional Lotka-Volterra model with competitor-competitor-mutualist interaction. We show the existence, uniqueness, moment boundedness, stochastic boundedness and global asymptotic stability of positive global solutions for this stochastic model. Analytical results are validated by numerical examples.
Classification : 93E15, 37B25, 60G17
Keywords: global solution, Itô's formula, moment, Lyapunov function, Brownian motion, global asymptotic stability 
@article{EJDE_2013__2013__a28,
     author = {Mandal, Partha Sarathi},
     title = {Characterization of positive solution to stochastic competitor-competitor-cooperative model},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2013},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a28/}
}
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Mandal, Partha Sarathi. Characterization of positive solution to stochastic competitor-competitor-cooperative model. Electronic Journal of Differential Equations, Tome 2013 (2013). http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a28/