Pullback Absorbing Set for the Stochastic Lattice Selkov Equations

Main Article Content

Li Hongyan


Aims/ Objectives: To prove the existence of a pullback Absorbing set.
Study Design: Ornstein-Uhlenbeck process.
Place and Duration of Study: College of Management, Shanghai University of Engineering Science.
Methodology: A transformation of addition involved with an Ornstein-Uhlenbeck process is used.
Results: In this paper, pullback absorbing property for the stochastic reversible Selkov system in an innite lattice with additive noises is proved.

Pullback absorbing set, additive noise, Selkov system.

Article Details

How to Cite
Hongyan, L. (2019). Pullback Absorbing Set for the Stochastic Lattice Selkov Equations. Asian Research Journal of Mathematics, 14(1), 1-7. https://doi.org/10.9734/arjom/2019/v14i130116
Original Research Article


Selkov E. Self-oscillations in glycolysis. I. A simple kinetic model. Eur. J. Biochem.;4:79-86.

Li H. A random dynamical system of the stochastic lattice reversible Selkov equations. Dierential Equations and Applications; 2019. submitted

Bates P, Lisei H, Lu K. Attractors for stochastic lattice dynamical systems. Stochastics and Dynamics. 2006;6:1-21.

Crauel H, Flandoli F. Attractor for random dynamical systems. Probability Theory and Related Fields. 1994;100:365-393.

Huang J. The random attractor of stochastic tz hugh-nagumo equations in an innite lattice with white noises. Physica D. 2007;233:83-94.

Li H, Tu J. Random attractors for stochastic lattice reversible Gray-Scott systems with additive noise. Electron. J. Di. Equ. 2015;2015:1-25.

Li H. Random attractor of the stochastic lattice reversible selkov equations with additive noises. IEEE 13th International Conference on e-Business Engineering (ICEBE); 2016.

Temam R. Innite-dimensional dynamical systems in mechanics and physics. Appl. Math. Sci. Springer-Verlag; 1988.

Arnold L. Random dynamical systems. Springer Monographs in Mathematics, Springer-Verlag; 1998.