Anderson, D. F. A modified next reaction method for simulating chemical systems with time dependent propensities and delays. J. Chem. Phys. 127 (2007) 214107.

Bakhtin, Yuri; Mattingly, Jonathan C. Stationary solutions of stochastic differential equations with memory and stochastic partial differential equations. Commun. Contemp. Math. 7 (2005), no. 5, 553-582. MR2175090 (2006i:60073)

Bratsun, D.; Volfson, D.; Tsimring, L. S.; Hasty, J. Delay-induced stochastic oscillations in gene regulation. PNAS 102 (2005), 14593-14598.

Brauer, Fred; Castillo-Chávez, Carlos. Mathematical models in population biology and epidemiology. Texts in Applied Mathematics, 40. Springer-Verlag, New York, 2001. xxiv+416 pp. ISBN: 0-387-98902-1 MR1822695 (2002k:92001)

Chung, K. L.; Williams, R. J. Introduction to stochastic integration. Second edition. Probability and its Applications. Birkhäuser Boston, Inc., Boston, MA, 1990. xvi+276 pp. ISBN: 0-8176-3386-3 MR1102676 (92d:60057)

Da Prato, G.; Zabczyk, J. Ergodicity for infinite-dimensional systems. London Mathematical Society Lecture Note Series, 229. Cambridge University Press, Cambridge, 1996. xii+339 pp. ISBN: 0-521-57900-7 MR1417491 (97k:60165)

Deb, Supratim; Srikant, R. Global stability of congestion controllers for the Internet. IEEE Trans. Automat. Control 48 (2003), no. 6, 1055-1060. MR1986278

Dupuis, Paul; Ishii, Hitoshi. On Lipschitz continuity of the solution mapping to the Skorokhod problem, with applications. Stochastics Stochastics Rep. 35 (1991), no. 1, 31-62. MR1110990 (93e:60110)

Filippov, A. F. Differential equations with discontinuous righthand sides. Translated from the Russian. Mathematics and its Applications (Soviet Series), 18. Kluwer Academic Publishers Group, Dordrecht, 1988. x+304 pp. ISBN: 90-277-2699-X MR1028776 (90i:34002)

Hairer, M.; Ohashi, A. Ergodic theory for SDEs with extrinsic memory. Ann. Probab. 35 (2007), no. 5, 1950-1977. MR2349580 (2009d:60178)

Hairer, M.; Mattingly, J. C.; Scheutzow, M. Asymptotic coupling and a general form of Harris' theorem with applications to stochastic delay equations. Probability Theory and Related Fields (2009) DOI 10.1007/s00440-009-0250-6.

Hale, Jack K.; Verduyn Lunel, Sjoerd M. Introduction to functional-differential equations. Applied Mathematical Sciences, 99. Springer-Verlag, New York, 1993. x+447 pp. ISBN: 0-387-94076-6 MR1243878 (94m:34169)

Harrison, J. Michael; Reiman, Martin I. Reflected Brownian motion on an orthant. Ann. Probab. 9 (1981), no. 2, 302-308. MR0606992 (82c:60141)

Itô, Kiyoshi; Nisio, Makiko. On stationary solutions of a stochastic differential equation. J. Math. Kyoto Univ. 4 1964 1-75. MR0177456 (31 #1719)

Karatzas, Ioannis; Shreve, Steven E. Brownian motion and stochastic calculus. Graduate Texts in Mathematics, 113. Springer-Verlag, New York, 1988. xxiv+470 pp. ISBN: 0-387-96535-1 MR0917065 (89c:60096)

Kushner, Harold J. Numerical methods for controlled stochastic delay systems. Systems & Control: Foundations & Applications. Birkhäuser Boston, Inc., Boston, MA, 2008. xx+281 pp. ISBN: 978-0-8176-4534-2 MR2441170 (2009m:60004)

Liptser, R. S.; Shiryayev, A. N. Statistics of random processes. I. General theory. Translated by A. B. Aries. Applications of Mathematics, Vol. 5. Springer-Verlag, New York-Heidelberg, 1977. x+394 pp. ISBN: 0-387-90226-0 MR0474486 (57 #14125)

Mao, Xuerong. Exponential stability of stochastic differential equations. Monographs and Textbooks in Pure and Applied Mathematics, 182. Marcel Dekker, Inc., New York, 1994. xii+307 pp. ISBN: 0-8247-9080-4 MR1275834 (95k:60153)

Mao, Xuerong. Razumikhin-type theorems on exponential stability of stochastic functional-differential equations. Stochastic Process. Appl. 65 (1996), no. 2, 233-250. MR1425358 (98c:60062)

Mather, W.; Bennett, M. R.; Hasty, J.; Tsimring L. S. Delay-induced degrade-and-fire oscillations in small genetic circuits. Physical Review Letters. 102 068105, pp. 1-4.

Mohammed, S. E. A. Stochastic functional differential equations. Research Notes in Mathematics, 99. Pitman (Advanced Publishing Program), Boston, MA, 1984. vi+245 pp. ISBN: 0-273-08593-X MR0754561 (86j:60151)

Mohammed, S. E. A. Stability of linear delay equations under a small noise. Proc. Edinburgh Math. Soc. (2) 29 (1986), no. 2, 233-254. MR0847877 (87k:93098)

Orey, Steven. Lecture notes on limit theorems for Markov chain transition probabilities. Van Nostrand Reinhold Mathematical Studies, No. 34. Van Nostrand Reinhold Co., London-New York-Toronto, Ont., 1971. viii+108 pp. MR0324774 (48 #3123)

Paganini, F.; Doyle, J.; Low, S. Scalable laws for stable network congestion control. Proceedings of the 40th IEEE Conference on Decision and Control, 2001, 185-190.

Paganini, F.; Wang, Z. Global stability with time-delay in network congestion control. Proceedings of the 41st IEEE Conference on Decision and Control, 2002, 3632-3637.

Papachristodoulou, A. Global stability analysis of a TCP/AQM protocol for arbitrary networks with delay. Proceedings of the 43rd IEEE Conference on Decision and Control, 2004, 1029-1034.

Papachristodoulou, A.; Doyle J.; Low, S. Analysis of nonlinear delay differential equation models of TCP/AQM protocols using sums of squares. Proceedings of the 43rd IEEE Conference on Decision and Control, 2004, 4684-4689.

Peet, Matthew; Lall, Sanjay. Global stability analysis of a nonlinear model of Internet congestion control with delay. IEEE Trans. Automat. Control 52 (2007), no. 3, 553-559. MR2300490 (2007k:93106)

Reiß, M.; Riedle, M.; van Gaans, O. Delay differential equations driven by Lévy processes: stationarity and Feller properties. Stochastic Process. Appl. 116 (2006), no. 10, 1409-1432. MR2260741 (2007m:60168)

Revuz, Daniel; Yor, Marc. Continuous martingales and Brownian motion. Third edition. Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], 293. Springer-Verlag, Berlin, 1999. xiv+602 pp. ISBN: 3-540-64325-7 MR1725357 (2000h:60050)

Rogers, L. C. G.; Williams, David. Diffusions, Markov processes, and martingales. Vol. 1. Foundations. Reprint of the second (1994) edition. Cambridge Mathematical Library. Cambridge University Press, Cambridge, 2000. xx+386 pp. ISBN: 0-521-77594-9 MR1796539 (2001g:60188)

Rogers, L. C. G.; Williams, David. Diffusions, Markov processes, and martingales. Vol. 2. Itô calculus. Reprint of the second (1994) edition. Cambridge Mathematical Library. Cambridge University Press, Cambridge, 2000. xiv+480 pp. ISBN: 0-521-77593-0 MR1780932 (2001g:60189)

Scheutzow, M. Qualitative behaviour of stochastic delay equations with a bounded memory. Stochastics 12 (1984), no. 1, 41-80. MR0738934 (85h:60087)

Scheutzow, Michael. Stability and instability of routings through a queueing network. Queueing Systems Theory Appl. 35 (2000), no. 1-4, 117-128. MR1782603 (2001e:60201)

Scheutzow, Michael. Exponential growth rates for stochastic delay differential equations. Stoch. Dyn. 5 (2005), no. 2, 163-174. MR2147280 (2006b:60130)

Srikant, R. The mathematics of Internet congestion control. Systems & Control: Foundations & Applications. Birkhäuser Boston, Inc., Boston, MA, 2004. xii+164 pp. ISBN: 0-8176-3227-1 MR2018967 (2004k:93001)

Vinnicombe, G. On the stability of networks operating TCP-like congestion control. Proc. IFAC World Congress, 2002, Barcelona, Spain.

Vinnicombe, G. On the stability of end-to-end congestion control for the Internet. Univ. Cambridge Tech. Rep. CUED/F-INFENG/, TR.398 [Online], 2002. Available at http://www.eng.cam.ac.uk/~gv

Williams, R. J. An invariance principle for semimartingale reflecting Brownian motions in an orthant. Queueing Systems Theory Appl. 30 (1998), no. 1-2, 5-25. MR1663755 (99m:60129)

Ying, L.; Dullerud, G.; Srikant, R. Global stability of Internet congestion controllers with heterogeneous delays. IEEE/ACM Transactions on Networking, 14 (2006), 579-591.