The non-spatial epidemic

Author(s):  
Linda Rass ◽  
John Radcliffe
Keyword(s):  
PLoS ONE ◽  
2016 ◽  
Vol 11 (12) ◽  
pp. e0168127 ◽  
Author(s):  
Chiyori T. Urabe ◽  
Gouhei Tanaka ◽  
Kazuyuki Aihara ◽  
Masayasu Mimura

1998 ◽  
Vol 57 (2) ◽  
pp. 2163-2169 ◽  
Author(s):  
Henry C. Tuckwell ◽  
Laurent Toubiana ◽  
Jean-Francois Vibert

1983 ◽  
Vol 20 (04) ◽  
pp. 715-727 ◽  
Author(s):  
M. J. Faddy

The general (non-spatial) stochastic epidemic is extended to allow infective individuals to move forward through a system of spatially connected locations · ··, L 1, L 2, · ·· (on the line) each containing susceptible individuals and the outcome of the epidemic in each of these locations is then considered. In the deterministic case, a (spatial) equilibrium solution and threshold behaviour are discussed. In the stochastic case, a (spatial) quasi-equilibrium behaviour (conditional on sufficient numbers of infectives present) is discussed; numerical results suggest some correspondence between this stochastic quasi-equilibrium and the deterministic equilibrium.


1997 ◽  
Vol 34 (3) ◽  
pp. 698-710 ◽  
Author(s):  
Håkan Andersson ◽  
Boualem Djehiche

We study the long-term behaviour of a sequence of multitype general stochastic epidemics, converging in probability to a deterministic spatial epidemic model, proposed by D. G. Kendall. More precisely, we use branching and deterministic approximations in order to study the asymptotic behaviour of the total size of the epidemics as the number of types and the number of individuals of each type both grow to infinity.


2013 ◽  
Vol 338 ◽  
pp. 41-58 ◽  
Author(s):  
Chiara Poletto ◽  
Michele Tizzoni ◽  
Vittoria Colizza

2020 ◽  
Vol 8 (1) ◽  
pp. 10
Author(s):  
Jing Qu ◽  
Haiyun Liu ◽  
Jian Xue ◽  
Jianjun Xu ◽  
Maobo Wang ◽  
...  

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