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.

scholarly journals Dynamics of Spatial Epidemic Model with Infected Population Repulsion

2021 ◽  
Author(s):  
Meng Yan ◽  
Qingshan Zhang
Keyword(s):  
Spatial Pattern ◽  
Epidemic Model ◽  
Neumann Boundary Condition ◽  
Neumann Boundary ◽  
Turing Instability ◽  
Diffusion Term ◽  
Homogeneous Neumann Boundary Condition ◽  
Spatial Epidemic Model ◽  
Spatial Epidemic ◽  
Pattern Formations

Abstract In this paper, we are concerned with the spatial epidemic model with infected-taxis in which the susceptible individuals could avoid the infected ones. The spatial pattern for the resulted model is investigated under homogeneous Neumann boundary condition. We gain the condition for spatial pattern induced by diffusion term and infected-taxis term. Moreover, we obtain the condition for the occurrence of pattern formations induced by infected-taxis, in which the diffusion-driven Turing instability case is excluded. We give numerical examples to support the theoretical scheme.

Sign in / Sign up

Export Citation Format

Share Document