Contact processes on the integers

Details Contact processes on the integers Contact processes on the integers

2010-10-07

arxiv.org/abs/1010.1480v4

Mathematics

Probability

Thesis on Probability (PR). Viva date: July/August '11. External examiner: Prof T. Mountford. Heriot-Watt Univ's 3 years funde

Scientific paper

The three state contact process is the modification of the contact process at rate mu in which first infections occur at rate lambda instead. Chapter 1 is concerned with the growth of the one-dimensional nearest neighbours three state contact process under the assumption that mu > lambda (i.e.\ reverse immunization). Chapter 2 is concerned with convergence rates of the one-dimensional nearest neighbours three state contact process. Chapter 3 is concerned with the regularity of the growth of the rightmost infective of one-dimensional symmetric non-nearest neighbours contact processes. Chapter 4 is concerned with basic monotonicity properties of the three state contact process.

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