62
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Two-Type Branching Processes with Subexponential Life-Spans and SIR Epidemic Models

Pages 925-940 | Received 14 Feb 2007, Accepted 04 Oct 2007, Published online: 28 Aug 2008

REFERENCES

  • Andersson , H. , and Britton , T. 2000 . Stochastic Epidemic Models and Their Statistical Analysis . Springer, Ser. LN in Statistics 151 , New York .
  • Athreya , K. , and Ney , P. 1972 . Branching Processes . Springer , New York .
  • Chistyakov , V.P. 1964 . A theorem on sums of independent positive random variables and its applications to branching random processes . Theory of Probability and Applications 9 : 640 – 648 .
  • Chover , J. , Ney , P. , and Wainger , S. 1973 . Degeneracy properties of subcritical branching processes . Annals of Probability 1 : 663 – 673 .
  • Kaplan , N. , Subdury , A. , and Nilsen , T.S. 1975 . A branching process with disasters . Journal of Applied Probability 12 : 47 – 59 .
  • Leslie , J.R. 1989 . On the non-closure under convolution of the subexponential family . Journal of Applied Probability 26 : 58 – 66 .
  • Mode , Ch. J. 1971 . Multitype Branching Processes . American Elsevier , New York .
  • Mode , Ch. J. , and Sleeman , C.K. 2000 . Stochastic Processes in Epidemiology . World Scientific , Singapore .
  • Sevastyanov , B.A. 1971 . Branching Processes . Nauka , Moscow .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.