Li, W., Lin, G., Ma, C. and Yang, F. (2014) Traveling Wave Solutions of a Nonlocal Delayed SIR Model without Outbreak Threshold. Discrete & Continuous Dynamical Systems—B, 19, 467-484.
https://doi.org/10.3934/dcdsb.2014.19.467

has been cited by the following article:

• TITLE: Traveling Wave Solutions of a SIR Epidemic Model with Spatio-Temporal Delay

  AUTHORS: Zhihe Hou

  KEYWORDS: Susceptible-Infected-Recovered Epidemic Model, Traveling Wave Solutions, Spatio-Temporal Delay, Schauder Fixed Point Theorem

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.12 No.10, October 22, 2024

  ABSTRACT: In this paper, we studied the traveling wave solutions of a SIR epidemic model with spatial-temporal delay. We proved that this result is determined by the basic reproduction number R 0 and the minimum wave speed c * of the corresponding ordinary differential equations. The methods used in this paper are primarily the Schauder fixed point theorem and comparison principle. We have proved that when R 0 >1 and c> c * , the model has a non-negative and non-trivial traveling wave solution. However, for R 0 <1 and c≥0 or R 0 >1 and 0<c< c * , the model does not have a traveling wave solution.