ANALYSIS OF A STOCHASTIC SIS EPIDEMIC MODEL WITH TRANSPORT-RELATED INFECTION

[1]  Yanan Zhao,et al.  The threshold of a stochastic SIRS epidemic model with saturated incidence , 2014, Appl. Math. Lett..

[2]  Zhien Ma,et al.  Stability analysis for SIS epidemic models with vaccination and constant population size , 2004 .

[3]  Shaokai Wang,et al.  Global dynamics of delay epidemic models with nonlinear incidence rate and relapse , 2011 .

[4]  Xuerong Mao,et al.  Population dynamical behavior of non-autonomous Lotka-Volterra competitive system with random perturbation , 2009 .

[5]  Xianning Liu,et al.  Global dynamics of SIS models with transport-related infection , 2007 .

[6]  W. O. Kermack,et al.  A contribution to the mathematical theory of epidemics , 1927 .

[7]  Wenbin Liu,et al.  A stochastic SIS epidemic model incorporating media coverage in a two patch setting , 2015, Appl. Math. Comput..

[8]  Qingling Zhang,et al.  Dynamical behavior in a hybrid stochastic triple delayed prey predator bioeconomic system with Lévy jumps , 2019, J. Frankl. Inst..

[9]  Yun Kang,et al.  A stochastic SIRS epidemic model with nonlinear incidence rate , 2017, Appl. Math. Comput..

[10]  R. May,et al.  Stability and Complexity in Model Ecosystems , 1976, IEEE Transactions on Systems, Man, and Cybernetics.

[11]  Nguyen Huu Du,et al.  Permanence and extinction of certain stochastic SIR models perturbed by a complex type of noises , 2017, Appl. Math. Lett..

[12]  Y. Takeuchi,et al.  Spreading disease with transport-related infection. , 2006, Journal of theoretical biology.

[13]  W. O. Kermack,et al.  Contributions to the Mathematical Theory of Epidemics. II. The Problem of Endemicity , 1932 .

[14]  Desmond J. Higham,et al.  An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations , 2001, SIAM Rev..

[15]  P. Waltman Deterministic Threshold Models in the Theory of Epidemics , 1974, Lecture Notes in Biomathematics.

[16]  Meng Liu,et al.  Survival Analysis of Stochastic Competitive Models in a Polluted Environment and Stochastic Competitive Exclusion Principle , 2010, Bulletin of mathematical biology.

[17]  Frederick Chen A Susceptible-infected Epidemic Model with Voluntary Vaccinations , 2006, Journal of mathematical biology.

[18]  Fengying Wei,et al.  Long-time behavior of a stochastic epidemic model with varying population size , 2017 .

[19]  D. Jiang,et al.  Threshold Behavior in a Stochastic SIS Epidemic Model with Standard Incidence , 2014 .

[20]  A. Lahrouz,et al.  Global analysis of a deterministic and stochastic nonlinear SIRS epidemic model , 2011 .

[21]  X. Mao,et al.  Stochastic Differential Equations and Applications , 1998 .

[22]  R. Pettersson,et al.  A stochastic SIRI epidemic model with relapse and media coverage , 2018 .

[23]  J. Radcliffe,et al.  The Mathematical Theory of Infectious Diseases and its Applications , 1977 .

[24]  Xinzhu Meng,et al.  Dynamics of a novel nonlinear stochastic SIS epidemic model with double epidemic hypothesis , 2016 .

[25]  Aadil Lahrouz,et al.  Extinction and stationary distribution of a stochastic SIRS epidemic model with non-linear incidence , 2013 .

[26]  Yi Song,et al.  Dynamical Analysis of a Class of Prey-Predator Model with Beddington-DeAngelis Functional Response, Stochastic Perturbation, and Impulsive Toxicant Input , 2017, Complex..

[27]  Z. Teng,et al.  Persistence and extinction for a class of stochastic SIS epidemic models with nonlinear incidence rate , 2016 .

[28]  Epidemic characteristics of two classic SIS models with disease-induced death. , 2017, Journal of theoretical biology.