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Boundedness of Traveling Waves in a Discrete Diffusion Model with Delay

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Abstract

Employing some classical analysis methods, in this paper we establish the global boundedness of R-component of traveling wave solutions for a discrete diffusion susceptible-infected-recovered (SIR) epidemic model with delay. This result is a sufficient condition to obtain the limit behavior of traveling wave solutions at far fields. Meanwhile, the present results improve our recent work.

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Acknowledgements

The authors are grateful to the anonymous reviewers for their constructive comments and thoughtful suggestions, which have improved the presentation of this paper greatly. The research is supported by grants from National Natural Science Foundation of China (Nos. 12001241 & 12371114), Basic Research Program of Jiangsu Province (No. BK20200885), Priority Academic Program Development of Jiangsu Higher Education Institutions (No. PAPD-2018-87), the Young Science and Technology Talents Promotion Project for Zhenjiang City Science and Technology Association, and Students’ Research Project of Jiangsu University (No. 22A374).

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  1. School of Mathematical Sciences, Jiangsu University, Zhenjiang, 212013, Jiangsu, People’s Republic of China

    Jingdong Wei, Jiahe Li & Jiangbo Zhou

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  1. Jingdong Wei
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  2. Jiahe Li
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  3. Jiangbo Zhou
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Authors declare that the study was realized in collaboration with equal responsibility. All authors read and approved the final manuscript.

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Correspondence to Jingdong Wei or Jiangbo Zhou.

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Wei, J., Li, J. & Zhou, J. Boundedness of Traveling Waves in a Discrete Diffusion Model with Delay. Qual. Theory Dyn. Syst. 23, 48 (2024). https://doi.org/10.1007/s12346-023-00903-y

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