6. Cooperative Stochastic Differential Equations

6.1 Main Assumptions6.2 Generation of Order-Preserving RDS6.3 Conjugacy with Random Differential Equations6.4 Stochastic Comparison Principle6.5 Equilibria and Attractors6.6 One-Dimensional Stochastic Equations6.6.1 Stochastic Equations on $\mathbb{R}_+$6.6.2 Stochastic Equations on a Bounded Interval6.7 Stochastic Equations with Concavity Properties6.8 Applications6.8.1 Stochastic Biochemical Control Circuit6.8.2 Stochastic Gonorrhea Model6.8.3 Stochastic Model of Symbiotic Interaction6.8.4 Lattice Models of Statistical Mechanics