Onset and termination of oscillation of disease spread through contaminated environment

• Published in: Mathematical biosciences and engineering : MBE Vol. 14; no. 5-6; pp. 1515 - 1533
• Main Authors: Zhang, Xue, Song, Shuni, Wu, Jianhong
• Format: Journal Article
• Language: English
• Published: United States AIMS Press 01.10.2017
• Subjects: Algorithms; Animals; Birds; Communicable Disease Control; Computer Simulation; dirichlet boundary condition; Disease Outbreaks; Environment; Epidemics; hopf bifurcation; Humans; Influenza in Birds - epidemiology; Influenza in Birds - transmission; Models, Biological; Models, Statistical; Nonlinear Dynamics; nonlocal delay; Oscillometry; reaction-diffusion equation; stability

We consider a reaction diffusion equation with a delayed nonlocal nonlinearity and subject to Dirichlet boundary condition. The model equation is motivated by infection dynamics of disease spread (avian influenza, for example) through environment contamination, and the nonlinearity takes into accoun...