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math.PR2015★ 1 cited
Near-critical SIR epidemic on a random graph with given degrees
Svante Janson, Malwina Luczak, Peter Windridge +1
Emergence of new diseases and elimination of existing diseases is a key public health issue. In mathematical models of epidemics, such phenomena involve the process of infections a…
math.PR2013★ 18 cited
Extinction times in the subcritical stochastic SIS logistic epidemic
Graham Brightwell, Thomas House, Malwina Luczak
Many real epidemics of an infectious disease are not straightforwardly super- or sub-critical, and the understanding of epidemic models that exhibit such complexity has been identi…
math.PR2011
Lie algebra solution of population models based on time-inhomogeneous Markov chains
Thomas House
Many natural populations are well modelled through time-inhomogeneous stochastic processes. Such processes have been analysed in the physical sciences using a method based on Lie a…