Asymptotic analysis for a nonlinear reaction–diffusion system modeling an infectious disease

• Published in: Nonlinear analysis: real world applications Vol. 75; p. 103984
• Main Authors: Yin, Hong-Ming, Zou, Jun
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.02.2024
• Subjects: Global existence and uniqueness; Infectious disease model; Nonlinear reaction–diffusion system; Stability analysis; Global existence and uniqueness; Stability analysis; Nonlinear reaction–diffusion system; Infectious disease model

In this paper we study a nonlinear reaction–diffusion system which models an infectious disease caused by bacteria such as those for Cholera. One of the significant features in this model is that a certain portion of the recovered human hosts may lose a lifetime immunity and could be infected again....