Impact of delay on disease outbreak in a spatial epidemic model

2014 ◽  
Vol 89 (4) ◽  
pp. 317-321
Author(s):  
Xia-Xia Zhao ◽  
Jian-Zhong Wang
Keyword(s):  
Epidemic Model ◽  
Disease Outbreak ◽  
Spatial Epidemic Model ◽  
Spatial Epidemic

scholarly journals Parameter Scaling for Epidemic Size in a Spatial Epidemic Model with Mobile Individuals

PLoS ONE ◽  
2016 ◽  
Vol 11 (12) ◽  
pp. e0168127 ◽  
Author(s):  
Chiyori T. Urabe ◽  
Gouhei Tanaka ◽  
Kazuyuki Aihara ◽  
Masayasu Mimura
Keyword(s):  
Epidemic Model ◽  
Epidemic Size ◽  
Spatial Epidemic Model ◽  
Spatial Epidemic

Limit theorems for the total size of a spatial epidemic

1997 ◽  
Vol 34 (3) ◽  
pp. 698-710 ◽  
Author(s):  
Håkan Andersson ◽  
Boualem Djehiche
Keyword(s):  
Asymptotic Behaviour ◽  
Epidemic Model ◽  
Limit Theorems ◽  
Total Size ◽  
Spatial Epidemic Model ◽  
Spatial Epidemic ◽  
Number Of Individuals ◽  
General Stochastic

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.

scholarly journals Chaos in a spatial epidemic model

2009 ◽  
Vol 19 (4) ◽  
pp. 1656-1685 ◽  
Author(s):  
Rick Durrett ◽  
Daniel Remenik
Keyword(s):  
Epidemic Model ◽  
Spatial Epidemic Model ◽  
Spatial Epidemic

Limit theorems for the total size of a spatial epidemic

1997 ◽  
Vol 34 (03) ◽  
pp. 698-710
Author(s):  
Håkan Andersson ◽  
Boualem Djehiche
Keyword(s):  
Asymptotic Behaviour ◽  
Epidemic Model ◽  
Limit Theorems ◽  
Total Size ◽  
Spatial Epidemic Model ◽  
Spatial Epidemic ◽  
Number Of Individuals ◽  
General Stochastic

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.

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