Traveling waves for a nonlocal dispersal SIR model with renewal and spatio-temporal delay

2021 ◽  
pp. 1-21
Author(s):  
Yun-Rui Yang ◽  
Yang Yang ◽  
Zhu-Yan Ma
Keyword(s):  
Traveling Waves ◽  
Sir Model ◽  
Temporal Delay ◽  
Nonlocal Dispersal ◽  
Spatio Temporal

scholarly journals Traveling waves in a nonlocal dispersal epidemic model with spatio-temporal delay

2020 ◽  
Vol 19 (5) ◽  
pp. 2853-2886
Author(s):  
Jingdong Wei ◽  
◽  
Jiangbo Zhou ◽  
Wenxia Chen ◽  
Zaili Zhen ◽  
...  
Keyword(s):  
Traveling Waves ◽  
Epidemic Model ◽  
Temporal Delay ◽  
Nonlocal Dispersal ◽  
Spatio Temporal

Traveling wave solutions of a nonlocal dispersal SIRS model with spatio-temporal delay

2017 ◽  
Vol 10 (05) ◽  
pp. 1750071 ◽  
Author(s):  
Zhaohai Ma ◽  
Rong Yuan
Keyword(s):  
Fixed Point ◽  
Traveling Wave ◽  
Wave Speed ◽  
Traveling Wave Solutions ◽  
Temporal Delay ◽  
Nonlocal Dispersal ◽  
Wave Solutions ◽  
Sirs Model ◽  
Existence And Nonexistence ◽  
Spatio Temporal

This paper is mainly concerned with the existence and nonexistence of traveling wave solutions of a nonlocal dispersal SIRS model with nonlocal delayed transmissions. We find that the existence and nonexistence of traveling wave solutions are determined by the critical wave speed [Formula: see text]. More specifically, we establish the existence of traveling wave solutions for every wave speed [Formula: see text] and [Formula: see text] by means of upper-lower solutions and Schauder’s fixed point theorem. Nonexistence of traveling wave solutions is obtained by Laplace transform for any wave speed [Formula: see text] and [Formula: see text].

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