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We study explosiveness of age-dependent branching processes describing the early stages of an epidemic-spread: both forward- and backward process are analysed.
The outcome of a stochastic epidemic a note on bailey’s paper
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Edgar N Gilbert · 1959
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P. Erdős and A. Rényi · 1960
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The Theory of Branching Processes
T. E. Harris · 1963
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Necessary condition for the regularity of branching processes
B.A. Sevast’yanov · 1970
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Explosiveness of age-dependent branching processes
D.R. Grey · 1974
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J. M. Hammersley · 1974
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The first birth problem for an age-dependent branching process
J. F. C. Kingman · 1975
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The simple branching process: a note on convergence when the mean is infinite
PL Davies · 1978
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Regular Variation (Encyclopedia of Mathematics and its Applications)
N. H. Bingham, C. M. Goldie, and J. L. Teugels · 1987
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Sufficient conditions for regularity of bellman harris branching processes
V. Vatutin · 1987
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The central limit theorem for the supercritical branching random walk, and related results
J.D. Biggins · 1990
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Limit distributions for minimal displacement of branching random walks
F.M. Dekking and B. Host · 1991
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Random Graphs
Bela Bollobas · 2001
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Scale-free topology of e-mail networks
Holger Ebel, Lutz-Ingo Mielsch, and Stefan Bornholdt · 2002
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Table of integrals, series, and products
I. S. Gradshteyn and I. M. Ryzhik · 2007
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On explosions in heavy-tailed branching random walks
O. Amini, L. Devroye, S. Griffiths, and N. Olver · 2013
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Approximating the epidemic curve
Andrew Barbour and Gesine Reinert · 2013
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The front of the epidemic spread and first passage percolation
Shankar Bhamidi, Remco van der Hofstad, and Julia Komjathy · 2014
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Random Graphs and Complex Networks (in preparation)
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Dumbing Us Down
J.T. Gatto · 1992
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Emergence of scaling in random networks
Albert-László Barabási and Réka Albert · 1999
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Van der Hofstad · 2014
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