The aim concerning this research is to present a method for establishment investigation of systems of nonlinear distinctness equations influenced by various types of stochastic perturbations. The projected method is demonstrated on the strength investigation of a nonlinear discrete-opportunity model of information dissemination. We get the conditions for this system's certain equilibrium. It is demonstrated that drunk of stochastic perturbations of the various forms, containing minor multiplicative perturbations, rapidly fading multiplicative perturbations, and promptly fading preservative perturbations, asymptotically stable positive balance maintains its balance. Through the use of Lyapunov functions, linear matrix prejudices (LMIs), and numerical simulations of the system existing, stability requirements are driven. It is suggested to look at the synopsis where stochastic disturbances dissolve on the infinity, but not very fast, as an unresolved problem. The deliberate here method of strength investigation can be used for many other nonlinear mathematical models interpreted both by stochastic dissimilarity equations and by stochastic characteristic equations.
Author(s) Details:
Leonid Shaikhet,
Department
of Mathematics, Ariel University, Ariel-40700, Israel.
Please see the link here: https://stm.bookpi.org/RHMCS-V2/article/view/8573
