Article Contents
Article Contents

# Cooperative random and stochastic differential equations

• This is a systematic study of order-preserving (or monotone) random dynamical systems which are generated by cooperative random or stochastic differential equations. Our main results concern the long-term behavior of these systems, in particular the existence of equilibria and attractors and a limit set trichotomy theorem. Several applications (models of the control of the protein synthesis in a cell, of gonorrhea infection and of symbiotic interaction in a random environment) are treated in detail.
Mathematics Subject Classification: 37H10, 60H10, 34F05, 47B60, 93E15.

 Citation: