aDepartment of Mathematics, Huazhong University of Science and Technology, Wuhan, Hubei 430074, PR China
Abstract:
In this paper we stochastically perturb the functional Kolmogorov-type system
into the stochastic functional differential equation
This paper studies existence and uniqueness of the global positive solution, and its asymptotic bound properties and moment average in time. These properties are natural requirements from the biological point of view. As the special cases, we discuss the various stochastic Lotka–Volterra systems.