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Spread Pattern Formation of H5N1-Avian Influenza and its Implications for Control Strategies

R. LiuV. R. S. K. DuvvuriJ. Wu — 2008

Mathematical Modelling of Natural Phenomena

Mechanisms contributing to the spread of avian influenza seem to be well identified, but how their interplay led to the current worldwide spread pattern of H5N1 influenza is still unknown due to the lack of effective global surveillance and relevant data. Here we develop some deterministic models based on the transmission cycle and modes of H5N1 and focusing on the interaction among poultry, wild birds and environment. Some of the model parameters are obtained from existing literatures, and others...

Supercritical super-brownian motion with a general branching mechanism and travelling waves

A. E. KyprianouR.-L. LiuA. Murillo-SalasY.-X. Ren — 2012

Annales de l'I.H.P. Probabilités et statistiques

We offer a probabilistic treatment of the classical problem of existence, uniqueness and asymptotics of monotone solutions to the travelling wave equation associated to the parabolic semi-group equation of a super-Brownian motion with a general branching mechanism. Whilst we are strongly guided by the reasoning in Kyprianou ( (2004) 53–72) for branching Brownian motion, the current paper offers a number of new insights. Our analysis incorporates the role of Seneta–Heyde norming which,...

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