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- Title
Traveling Wave Solutions for a Delayed SIRS Infectious Disease Model with Nonlocal Diffusion and Nonlinear Incidence.
- Authors
Xiaohong Tian; Rui Xu
- Abstract
A delayed SIRS infectious disease model with nonlocal diffusion and nonlinear incidence is investigated. By constructing a pair of upper-lower solutions and using Schauder's fixed point theorem, we derive the existence of a traveling wave solution connecting the disease-free steady state and the endemic steady state.
- Subjects
COMMUNICABLE diseases; MATHEMATICAL models; NONLINEAR analysis; FIXED point theory; NONLINEAR operators; COINCIDENCE theory; MATHEMATICAL analysis; TOPOLOGY
- Publication
Abstract & Applied Analysis, 2014, p1
- ISSN
1085-3375
- Publication type
Article
- DOI
10.1155/2014/795320