Entire solutions originating from multiple fronts of an epidemic model with nonlocal dispersal and bistable nonlinearity

2018 ◽  
Vol 265 (11) ◽  
pp. 5520-5574 ◽  
Author(s):  
Shi-Liang Wu ◽  
Guang-Sheng Chen ◽  
Cheng-Hsiung Hsu
Keyword(s):  
Epidemic Model ◽  
Entire Solutions ◽  
Nonlocal Dispersal ◽  
Bistable Nonlinearity

Entire Solutions for Nonlocal Dispersal Equations with Bistable Nonlinearity: Asymmetric Case

2019 ◽  
Vol 35 (11) ◽  
pp. 1771-1794 ◽  
Author(s):  
Li Zhang ◽  
Wan Tong Li ◽  
Zhi Cheng Wang ◽  
Yu Juan Sun
Keyword(s):  
Entire Solutions ◽  
Nonlocal Dispersal ◽  
Asymmetric Case ◽  
Bistable Nonlinearity

scholarly journals Entire solutions in nonlocal dispersal equations with bistable nonlinearity

2011 ◽  
Vol 251 (3) ◽  
pp. 551-581 ◽  
Author(s):  
Yu-Juan Sun ◽  
Wan-Tong Li ◽  
Zhi-Cheng Wang
Keyword(s):  
Entire Solutions ◽  
Nonlocal Dispersal ◽  
Bistable Nonlinearity

scholarly journals Entire solutions originating from monotone fronts for nonlocal dispersal equations with bistable nonlinearity

2017 ◽  
Vol 22 (11) ◽  
pp. 0-0
Author(s):  
Fang-Di Dong ◽  
◽  
Wan-Tong Li ◽  
Shi-Liang Wu ◽  
Li Zhang ◽  
...  
Keyword(s):  
Entire Solutions ◽  
Nonlocal Dispersal ◽  
Bistable Nonlinearity

scholarly journals Traveling Waves in a Nonlocal Dispersal SIR Model with Standard Incidence Rate and Nonlocal Delayed Transmission

Mathematics ◽  
2019 ◽  
Vol 7 (7) ◽  
pp. 641 ◽  
Author(s):  
Kuilin Wu ◽  
Kai Zhou
Keyword(s):  
Incidence Rate ◽  
Traveling Wave ◽  
Epidemic Model ◽  
Reaction System ◽  
Traveling Wave Solutions ◽  
Sir Epidemic Model ◽  
Nonlocal Dispersal ◽  
Sir Epidemic ◽  
Wave Solutions ◽  
Minimal Wave Speed

In this paper, we study the traveling wave solutions for a nonlocal dispersal SIR epidemic model with standard incidence rate and nonlocal delayed transmission. The existence and nonexistence of traveling wave solutions are determined by the basic reproduction number of the corresponding reaction system and the minimal wave speed. To prove these results, we apply the Schauder’s fixed point theorem and two-sided Laplace transform. The main difficulties are that the complexity of the incidence rate in the epidemic model and the lack of regularity for nonlocal dispersal operator.

scholarly journals Traveling waves for SVIR epidemic model with nonlocal dispersal

2019 ◽  
Vol 16 (3) ◽  
pp. 1654-1682
Author(s):  
Ran Zhang ◽  
◽  
Shengqiang Liu
Keyword(s):  
Traveling Waves ◽  
Epidemic Model ◽  
Nonlocal Dispersal
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