4.4 Article

A priori estimates for solutions of a class of reaction-diffusion systems

Journal

JOURNAL OF MATHEMATICAL BIOLOGY
Volume 72, Issue 6, Pages 1429-1439

Publisher

SPRINGER HEIDELBERG
DOI: 10.1007/s00285-015-0914-z

Keywords

Reaction-diffusion system; A priori L-infinity-norm estimate; Epidemic models

Funding

  1. NSF of China [11271167, 11471146, 11171319]
  2. Priority Academic Program Development of Jiangsu Higher Education Institutions
  3. Program for New Century Excellent Talents in University [NCET-11-0995]
  4. Natural Science Fund for Distinguished Young Scholars of Jiangsu Province [BK20130002]

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In this short paper, we establish a priori -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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