Stationary distribution of stochastic SIS epidemic model with vaccination under regime switching

Applied Mathematics Letters

Volumn 59, Issue , 2016, Pages 87-93

  Zhang, Xinhong ^a   Jiang, Daqing ^a,b   Alsaedi, Ahmed ^b   Hayat, Tasawar ^b,c  

^a CHINA UNIVERSITY OF PETROLEUM   (China)

^b KING ABDULAZIZ UNIVERSITY   (Saudi Arabia)

^c QUAID I AZAM UNIVERSITY   (Pakistan)

Author keywords

Markov switching; Stationary distribution; Stochastic SISV epidemic model

Indexed keywords

EPIDEMIOLOGY; LYAPUNOV FUNCTIONS; STOCHASTIC SYSTEMS; SWITCHING; SWITCHING CIRCUITS; VACCINES;

COLOR NOISE; EPIDEMIC MODELING; ERGODICS; MARKOV SWITCHING; REGIME SWITCHING; STATIONARY DISTRIBUTION; STOCHASTIC LYAPUNOV FUNCTIONS;

STOCHASTIC MODELS;

EID: 84962376138     PISSN: 08939659     EISSN: 18735452     Source Type: Journal    
DOI: 10.1016/j.aml.2016.03.010     Document Type: Article

References (11)

1. J. Li, and Z. Ma Global analysis of SIS epidemic models with variable total population size Math. Comput. Model. 39 2004 1231 1242
2. J. Li, and Z. Ma Qualitative analyses of SIS epidemic model with vaccination and varying total population size Math. Comput. Model. 35 2002 1235 1243
3. Y. Zhao, and D. Jiang The threshold of a stochastic SIS epidemic model with vaccination Appl. Math. Comput. 243 2014 718 727
4. Y. Zhao, and D. Jiang Dynamics of stochastically perturbed SIS epidemic model with vaccination Abstr. Appl. Anal. 2013 2013 1 12
5. Y. Lin, D. Jiang, and T. Liu Nontrivial periodic solution of a stochastic epidemic model with seasonal variation Appl. Math. Lett. 45 2015 103 107
6. Q. Luo, and X. Mao Stochastic population dynamics under regime switching J. Math. Anal. Appl. 334 2007 69 84
7. A. Settati, and A. Lahrouz Stationary distribution of stochastic population systems under regime switching Appl. Math. Comput. 244 2014 235 243
8. C. Zhu, and G. Yin Asymptotic properties of hybrid diffusion systems SIAM J. Control Optim. 46 2007 1155 1179
9. H. Liu, X. Li, and Q. Yang The ergodic property and positive recurrence of a multi-group Lotka-Volterra mutualistic system with regime switching Syst. Control. Lett. 62 2013 805 810
10. L. Zu, D. Jiang, and D. O'Regan Conditions for persistence and ergodicity of a stochastic Lotka-Volterra predatorCprey model with regime switching Commun. Nonlinear Sci. Numer. Simul. 29 2015 1 11
11. X. Mao, and C. Yuan Stochastic Differential Equations With Markovian Switching 2006 Imperial College Press London