RT Journal Article
T1 On the time to reach a critical number of infections in epidemic models with infective and susceptible immigrants.
A1 Almaraz Luengo, Elena Salome
A1 Gómez Corral, Antonio
A1 Rodríguez Bernal, María Teresa
AB In this paper we examine the time T to reach a critical number K0 of infections during an outbreak in an epidemic model with infective and susceptible immigrants. The underlying process X, which was first introduced by Ridler-Rowe (1967), is related to recurrent diseases and it appears to be analytically intractable. We present an approximating model inspired from the use of extreme values, and we derive formulae for the Laplace-Stieltjes transform of T and its moments, which are evaluated by using an iterative procedure. Numerical examples are presented to illustrate the effects of the contact and removal rates on the expected values of T and the threshold K0, when the initial time instant corresponds to an invasion time. We also study the exact reproduction number Rexact,0 and the population transmission number Rp, which are random versions of the basic reproduction number R0.
PB Elsevier
SN 03032647
YR 2016
FD 2016
LK https://hdl.handle.net/20.500.14352/24539
UL https://hdl.handle.net/20.500.14352/24539
LA eng
NO Almaraz Luengo, E. S., Gómez Corral, A. & Rodríguez Bernal, M. T. «On the Time to Reach a Critical Number of Infections in Epidemic Models with Infective and Susceptible Immigrants». Biosystems, vol. 144, junio de 2016, pp. 68-77. DOI.org (Crossref), https://doi.org/10.1016/j.biosystems.2016.04.007.
NO Ministerio de Economía, Comercio y Empresa (España)
NO Universidad Complutense de Madrid
NO Universidad Complutense de Madrid/Banco de Santander
DS Docta Complutense
RD 7 abr 2025