1. Introduction to stability of bioreactors -- 2. Introduction to bioreactors models -- 3. Introduction to stability and bifurcation theory -- 4. The basic model of ideal chemostat -- 5. The chemostat with wall attachment -- 6. Pure and simple microbial competition -- 7. Stability of continuous recombinant DNA cultures -- 8. Biodegradation of mixed substrates -- 9. Predator-prey interactions -- 10. Ratio-dependent models -- 11. Models with product formation -- 12. Models with product formation : type II models -- 13. Models with product formation : type III models -- 14. Operability of nonideal bioreactors -- 15. Operability of prefermentation of cheese culture -- 16. Biodegradation of wastewater -- 17. Dynamics of activated sludge reactors -- 18. Complex dynamics in forced bioreactors.