Spatiotemporal transmission dynamics for influenza disease in a heterogenous environment

• Published in: Nonlinear analysis: real world applications Vol. 46; pp. 178 - 194
• Main Authors: Cai, Yongli, Lian, Xinze, Peng, Zhihang, Wang, Weiming
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier Ltd 01.04.2019; Elsevier BV
• Subjects: Basic reproduction number; Diffusion coefficient; Disease transmission; Disease-free equilibrium; Environment; Epidemiology; Equilibrium; Heterogeneity; Heterogenous environment; Influenza; Influenza disease; Nonlinear equations; Uniformly persistent; Heterogenous environment; Basic reproduction number; Influenza disease; Disease-free equilibrium; Uniformly persistent

In this paper, we propose an SIRS influenza model with general incidence rate to describe disease transmission in a heterogenous environment. The basic reproduction number R0 is defined for the model, which can be used to govern the threshold dynamics of influenza disease: if R0<1, the unique dis...