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A priori \(L^\infty \) estimates for solutions of a class of reaction-diffusion systems

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Abstract

In this short paper, we establish a priori \(L^\infty \)-norm estimates for solutions of a class of reaction-diffusion systems which can be used to model the spread of infectious disease. The developed technique may find applications in other reaction-diffusion systems.

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Authors and Affiliations

  1. Department of Mathematics, Jiangsu Normal University, Xuzhou, 221116, Jiangsu, China

    Zengji Du & Rui Peng

Authors
  1. Zengji Du
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  2. Rui Peng
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Correspondence to Rui Peng.

Additional information

This research was partially supported by NSF of China (11271167, 11471146, 11171319) and the Priority Academic Program Development of Jiangsu Higher Education Institutions, and R. Peng’s research was also partially supported by the Program for New Century Excellent Talents in University (NCET-11-0995) and the Natural Science Fund for Distinguished Young Scholars of Jiangsu Province (BK20130002).

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Du, Z., Peng, R. A priori \(L^\infty \) estimates for solutions of a class of reaction-diffusion systems. J. Math. Biol. 72, 1429–1439 (2016). https://doi.org/10.1007/s00285-015-0914-z

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  • DOI: https://doi.org/10.1007/s00285-015-0914-z

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