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- Title
Boundedness and non‐existence of traveling wave solutions for a four‐compartment lattice epidemic system with exposed class and standard incidence.
- Authors
Wu, Xin; Ma, Zhaohai
- Abstract
A recent paper (Zhang R, Yu X. Traveling waves for a four‐compartment lattice epidemic system with exposed class and standard incidence. Math Meth Appl Sci. 2022; 45: 113‐136) presented a four‐compartment lattice epidemic system with exposed class and standard incidence. The authors studied the existence and non‐existence of traveling wave solutions of this system. However, the limit behavior of R$$ R $$‐component of traveling wave solutions is still open. In this paper, we solve this open problem and establish the boundedness of traveling wave solutions by analysis technique. Meanwhile, we study the non‐existence of traveling wave solutions with non‐positive wave velocity.
- Subjects
EPIDEMICS; WAVE analysis; PROBLEM solving
- Publication
Mathematical Methods in the Applied Sciences, 2024, Vol 47, Issue 9, p7397
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.9977