Geodesic
Characterization of positive solution to stochastic competitor-competitor-cooperative model
Electronic journal of differential equations, Tome 2013 (2013)
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__a128,
     author = {Mandal,  Partha Sarathi},
     title = {Characterization of positive solution to stochastic competitor-competitor-cooperative model},
     journal = {Electronic journal of differential equations},
     year = {2013},
     volume = {2013},
     zbl = {1284.93253},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a128/}
}
TY  - JOUR
AU  - Mandal,  Partha Sarathi
TI  - Characterization of positive solution to stochastic competitor-competitor-cooperative model
JO  - Electronic journal of differential equations
PY  - 2013
VL  - 2013
UR  - http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a128/
LA  - en
ID  - EJDE_2013__2013__a128
ER  - 
%0 Journal Article
%A Mandal,  Partha Sarathi
%T Characterization of positive solution to stochastic competitor-competitor-cooperative model
%J Electronic journal of differential equations
%D 2013
%V 2013
%U http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a128/
%G en
%F EJDE_2013__2013__a128
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__a128/