TITLE

CONVERGENCE AND MONOTONICITY FOR A MODEL OF SPONTANEOUS INFECTION AND TRANSMISSION

AUTHOR(S)
FOXALL, ERIC
PUB. DATE
June 2014
SOURCE
Advances in Applied Probability;Jun2014, Vol. 46 Issue 2, p560
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
A version of the contact process (effectively an SIS model) on a finite set of sites is considered in which there is the possibility of spontaneous infection. A companion process is also considered in which spontaneous infection does not occur from the disease-free state. Monotonicity with respect to parameters and initial data is established, and conditions for irreducibility and exponential convergence of the processes are given. For the spontaneous process, a set of approximating equations is derived, and its properties investigated.
ACCESSION #
96889349

 

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