TY - JOUR AU - Imhof, L. AU - Walcher, S. PY - 2005 DA - 2005// TI - Exclusion and persistence in deterministic and stochastic chemostat models JO - J. Differ. Equ. VL - 217 UR - https://doi.org/10.1016/j.jde.2005.06.017 DO - 10.1016/j.jde.2005.06.017 ID - Imhof2005 ER - TY - JOUR AU - Lin, Y. AU - Jiang, D. AU - Xia, P. PY - 2014 DA - 2014// TI - Long-time behavior of a stochastic SIR model JO - Appl. Math. Comput. VL - 236 ID - Lin2014 ER - TY - JOUR AU - Lahrouz, A. AU - Omari, L. PY - 2013 DA - 2013// TI - Extinction and stationary distribution of a stochastic SIRS epidemic model with non-linear incidence JO - Stat. Probab. Lett. VL - 83 UR - https://doi.org/10.1016/j.spl.2012.12.021 DO - 10.1016/j.spl.2012.12.021 ID - Lahrouz2013 ER - TY - JOUR AU - Zhao, D. PY - 2016 DA - 2016// TI - Study on the threshold of a stochastic SIR epidemic model and its extensions JO - Commun. Nonlinear Sci. Numer. Simul. VL - 38 UR - https://doi.org/10.1016/j.cnsns.2016.02.014 DO - 10.1016/j.cnsns.2016.02.014 ID - Zhao2016 ER - TY - JOUR AU - Liu, Q. AU - Jiang, D. AU - Shi, N. AU - Hayat, T. AU - Alsaedi, A. PY - 2016 DA - 2016// TI - Nontrivial periodic solution of a stochastic non-autonomous SISV epidemic model JO - Physica A VL - 462 UR - https://doi.org/10.1016/j.physa.2016.06.041 DO - 10.1016/j.physa.2016.06.041 ID - Liu2016 ER - TY - JOUR AU - Cai, Y. AU - Kang, Y. AU - Banerjee, M. AU - Wang, W. PY - 2015 DA - 2015// TI - A stochastic SIRS epidemic model with infectious force under intervention strategies JO - J. Differ. Equ. VL - 259 UR - https://doi.org/10.1016/j.jde.2015.08.024 DO - 10.1016/j.jde.2015.08.024 ID - Cai2015 ER - TY - JOUR AU - Rifhat, R. AU - Wang, L. AU - Teng, Z. PY - 2017 DA - 2017// TI - Dynamics for a class of stochastic SIS epidemic models with nonlinear incidence and periodic coefficients JO - Physica A VL - 481 UR - https://doi.org/10.1016/j.physa.2017.04.016 DO - 10.1016/j.physa.2017.04.016 ID - Rifhat2017 ER - TY - JOUR AU - Tornatore, E. AU - Buccellato, S. M. AU - Vetro, P. PY - 2005 DA - 2005// TI - Stability of a stochastic SIR system JO - Physica A VL - 354 UR - https://doi.org/10.1016/j.physa.2005.02.057 DO - 10.1016/j.physa.2005.02.057 ID - Tornatore2005 ER - TY - JOUR AU - Ji, C. AU - Jiang, D. AU - Shi, N. Z. PY - 2012 DA - 2012// TI - The behavior of an SIR epidemic model with stochastic perturbation JO - Stoch. Anal. Appl. VL - 30 UR - https://doi.org/10.1080/07362994.2012.684319 DO - 10.1080/07362994.2012.684319 ID - Ji2012 ER - TY - JOUR AU - Ji, C. AU - Jiang, D. PY - 2014 DA - 2014// TI - Threshold behaviour of a stochastic SIR model JO - Appl. Math. Model. VL - 38 UR - https://doi.org/10.1016/j.apm.2014.03.037 DO - 10.1016/j.apm.2014.03.037 ID - Ji2014 ER - TY - JOUR AU - Du, N. AU - Nhu, N. PY - 2017 DA - 2017// TI - Permanence and extinction of certain stochastic SIR models perturbed by a complex type of noises JO - Appl. Math. Lett. VL - 64 UR - https://doi.org/10.1016/j.aml.2016.09.012 DO - 10.1016/j.aml.2016.09.012 ID - Du2017 ER - TY - JOUR AU - Gray, A. AU - Greenhalgh, D. AU - Hu, L. AU - Mao, X. AU - Pan, J. PY - 2011 DA - 2011// TI - A stochastic differential equation SIS epidemic model JO - SIAM J. Appl. Math. VL - 71 UR - https://doi.org/10.1137/10081856X DO - 10.1137/10081856X ID - Gray2011 ER - TY - JOUR AU - Capasso, V. AU - Serio, G. PY - 1978 DA - 1978// TI - A generalization of the Kermack–McKendrick deterministic epidemic model JO - Math. Biosci. VL - 42 UR - https://doi.org/10.1016/0025-5564(78)90006-8 DO - 10.1016/0025-5564(78)90006-8 ID - Capasso1978 ER - TY - JOUR AU - Han, Q. AU - Jiang, D. AU - Lin, S. AU - Yuan, C. PY - 2015 DA - 2015// TI - The threshold of stochastic SIS epidemic model with saturated incidence rate JO - Adv. Differ. Equ. VL - 2015 ID - Han2015 ER - TY - CHAP AU - Hethcote, H. W. AU - Levin, S. A. PY - 1989 DA - 1989// TI - Periodicity in epidemiological models BT - Applied Mathematical Ecology PB - Springer CY - Berlin ID - Hethcote1989 ER - TY - JOUR AU - Bai, Z. AU - Zhou, Y. AU - Zhang, T. PY - 2011 DA - 2011// TI - Existence of multiple periodic solutions for an SIR model with seasonality JO - Nonlinear Anal. VL - 74 UR - https://doi.org/10.1016/j.na.2011.03.008 DO - 10.1016/j.na.2011.03.008 ID - Bai2011 ER - TY - JOUR AU - Wang, F. AU - Wang, X. AU - Zhang, S. AU - Ding, C. PY - 2014 DA - 2014// TI - On pulse vaccine strategy in a periodic stochastic SIR epidemic model JO - Chaos Solitons Fractals VL - 66 UR - https://doi.org/10.1016/j.chaos.2014.06.003 DO - 10.1016/j.chaos.2014.06.003 ID - Wang2014 ER - TY - JOUR AU - Lin, Y. AU - Jiang, D. AU - Liu, T. PY - 2015 DA - 2015// TI - Nontrivial periodic solution of a stochastic epidemic model with seasonal variation JO - Appl. Math. Lett. VL - 45 UR - https://doi.org/10.1016/j.aml.2015.01.021 DO - 10.1016/j.aml.2015.01.021 ID - Lin2015 ER - TY - JOUR AU - Zu, L. AU - Jiang, D. AU - O’Regan, D. AU - Ge, B. PY - 2015 DA - 2015// TI - Periodic solution for a non-autonomous Lotka–Volterra predator-prey model with random perturbation JO - J. Math. Anal. Appl. VL - 430 UR - https://doi.org/10.1016/j.jmaa.2015.04.058 DO - 10.1016/j.jmaa.2015.04.058 ID - Zu2015 ER - TY - BOOK AU - Khasminskii, R. PY - 2012 DA - 2012// TI - Stochastic Stability of Differential Equations PB - Springer CY - Berlin UR - https://doi.org/10.1007/978-3-642-23280-0 DO - 10.1007/978-3-642-23280-0 ID - Khasminskii2012 ER -