A recovery-relapse epidemic model with spatial diffusion

1982 ◽  
Vol 14 (2) ◽  
pp. 177-194 ◽  
Author(s):  
G. F. Webb
Keyword(s):  
Epidemic Model ◽  
Spatial Diffusion

scholarly journals Travelling Waves of a Diffusive Epidemic Model with Latency and Relapse

2013 ◽  
Vol 2013 ◽  
pp. 1-13
Author(s):  
Zhiping Wang ◽  
Rui Xu
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Epidemic Model ◽  
Wave Solution ◽  
Local Stability ◽  
Travelling Waves ◽  
Upper And Lower Solutions ◽  
Travelling Wave ◽  
Spatial Diffusion ◽  
Travelling Wave Solution

An SEIR epidemic model with relapse and spatial diffusion is studied. By analyzing the corresponding characteristic equations, the local stability of each of the feasible steady states to this model is discussed. The existence of a travelling wave solution is established by using the technique of upper and lower solutions and Schauder's fixed point theorem. Numerical simulations are carried out to illustrate the main results.

TRAVELING WAVES OF AN EPIDEMIC MODEL WITH VACCINATION

2013 ◽  
Vol 06 (05) ◽  
pp. 1350033 ◽  
Author(s):  
ZHIPING WANG ◽  
RUI XU
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Traveling Waves ◽  
Traveling Wave ◽  
Epidemic Model ◽  
Wave Solution ◽  
Local Stability ◽  
Upper And Lower Solutions ◽  
Traveling Wave Solution ◽  
Spatial Diffusion

An epidemic model with vaccination and spatial diffusion is studied. By analyzing the corresponding characteristic equations, the local stability of each of feasible steady states to this model is discussed. The existence of a traveling wave solution is established by using the technique of upper and lower solutions and Schauder's fixed point theorem. Numerical simulations are carried out to illustrate the main results.

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