title: A priori L∞ estimates for solutions of a class of reaction-diffusion systems.
abstract: In this short paper, we establish a priori L∞-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.
authors.affiliation: Department of Mathematics, Jiangsu Normal University, Xuzhou, 221116, Jiangsu, China.
authors.forename: Zengji
authors.initials: Z
authors.lastname: Du
authors.affiliation: Department of Mathematics, Jiangsu Normal University, Xuzhou, 221116, Jiangsu, China. pengrui_seu@163.com.
authors.forename: Rui
authors.initials: R
authors.lastname: Peng
mesh_terms: D002771:Cholera / Q000453:epidemiology / Q000635:transmission; D003141:Communicable Diseases / Q000453:epidemiology* / Q000635:transmission*; D058872:Epidemics / Q000706:statistics & numerical data; D006801:Humans; D055641:Mathematical Concepts; D008954:Models, Biological
keywords: A priori -norm estimate; Epidemic models; Reaction-diffusion system