메뉴 건너뛰기




Volumn 53, Issue 3, 2016, Pages 783-801

The Seis model, or, the contact process with a latent stage

Author keywords

Contact process; Interacting particle system; SEIS model

Indexed keywords


EID: 84991730165     PISSN: 00219002     EISSN: None     Source Type: Journal    
DOI: 10.1017/jpr.2016.40     Document Type: Article
Times cited : (9)

References (17)
  • 2
    • 0000221088 scopus 로고
    • On the growth of one-dimensional contact processes
    • Durrett, R. (1980). On the growth of one-dimensional contact processes. Ann. Prob. 8, 890-907.
    • (1980) Ann. Prob. , vol.8 , pp. 890-907
    • Durrett, R.1
  • 4
    • 0002427482 scopus 로고
    • Stochastic growth models: Bounds on critical values
    • Durrett, R. (1992). Stochastic growth models: Bounds on critical values. J. Appl. Prob. 29, 11-20.
    • (1992) J. Appl. Prob. , vol.29 , pp. 11-20
    • Durrett, R.1
  • 6
    • 0003300882 scopus 로고
    • Supercritical contact processes on Z
    • Durrett, R. and Griffeath, D. (1983). Supercritical contact processes on Z. Ann. Prob. 11, 1-15.
    • (1983) Ann. Prob. , vol.11 , pp. 1-15
    • Durrett, R.1    Griffeath, D.2
  • 7
    • 84928235274 scopus 로고    scopus 로고
    • New results for the two-stage contact process
    • Foxall, E. (2015). New results for the two-stage contact process. J. Appl. Prob. 52, 258-268.
    • (2015) J. Appl. Prob. , vol.52 , pp. 258-268
    • Foxall, E.1
  • 8
    • 49149134596 scopus 로고
    • The basic contact processes
    • Griffeath, D. (1981). The basic contact processes. Stoch. Process. Appl. 11, 151-185.
    • (1981) Stoch. Process. Appl. , vol.11 , pp. 151-185
    • Griffeath, D.1
  • 9
    • 0001374307 scopus 로고
    • Additive set-valued Markov processes and graphical methods
    • Harris, T. E. (1978). Additive set-valued Markov processes and graphical methods. Ann. Prob. 6, 355-378.
    • (1978) Ann. Prob. , vol.6 , pp. 355-378
    • Harris, T.E.1
  • 10
    • 3042703290 scopus 로고    scopus 로고
    • Lyapunov functions and global properties for SEIR and SEIS epidemic models
    • Korobeinikov,A. (2004). Lyapunov functions and global properties for SEIR and SEIS epidemic models. Math. Medicine Biol. 21, 75-83.
    • (2004) Math. Medicine Biol. , vol.21 , pp. 75-83
    • Korobeinikov, A.1
  • 11
    • 0033425034 scopus 로고    scopus 로고
    • The two-stage contact process
    • Krone, S. M. (1999). The two-stage contact process. Ann. Appl. Prob. 9, 331-351.
    • (1999) Ann. Appl. Prob. , vol.9 , pp. 331-351
    • Krone, S.M.1
  • 13
    • 0001277458 scopus 로고
    • Improved upper bounds for the contact process critical value
    • Liggett, T. M. (1995). Improved upper bounds for the contact process critical value. Ann. Prob. 23, 697-723.
    • (1995) Ann. Prob. , vol.23 , pp. 697-723
    • Liggett, T.M.1
  • 15
    • 84956637906 scopus 로고    scopus 로고
    • Exponential extinction time of the contact process on finite graphs
    • Mountford, T., Mourrat, J.-C., Valesin, D. and Yao, Q. (2016). Exponential extinction time of the contact process on finite graphs. Stoch. Process. Appl. 126, 1974-2013.
    • (2016) Stoch. Process. Appl. , vol.126 , pp. 1974-2013
    • Mountford, T.1    Mourrat, J.-C.2    Valesin, D.3    Yao, Q.4
  • 16
    • 0003781238 scopus 로고    scopus 로고
    • Cambridge University Press
    • Norris, J. R. (1997). Markov Chains. Cambridge University Press.
    • (1997) Markov Chains
    • Norris, J.R.1
  • 17
    • 0001792547 scopus 로고
    • On the critical infection rate of the one-dimensional basic contact process: Numerical results
    • Ziezold, H. and Grillenberger, C. (1988). On the critical infection rate of the one-dimensional basic contact process: Numerical results. J. Appl. Prob. 25, 1-8.
    • (1988) J. Appl. Prob. , vol.25 , pp. 1-8
    • Ziezold, H.1    Grillenberger, C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.