A Nonlinear Stochastic Dynamic Model Of Branching Chain Or Autocatalytic Reaction In CSTR Reactor

Nonlinear chemical reaction dynamics is an advanced research field,integrating subjects suchlike nonlinear dynamics and chemistry.It mainly studies the nonlinear phenomena of the chemical reaction that self-organize far away equilibrium state.Chemical oscillation is a typical nonlinear chemical phenomena.Since 1960 s,it has become an important part of the experimental study of the dynamics of chemistry.It also has important applications in the physical,chemical and biological engineering.Due to chemical reactions are inevitably affected by random disturbance of the environment,this paper mainly studies the asymptotic behavior of a ccontinuous stirred tank reactor system under environmental perturbation.First,the existence and uniqueness of positive solutions of the model are discussed.Then the condition when the reaction will end is obtained by using the Lyapunov method.Finally,the stationary distribution and the ergodicity of the random system is proved.