کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4500762 | 1320021 | 2008 | 10 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Oscillations in a patchy environment disease model Oscillations in a patchy environment disease model](/preview/png/4500762.png)
For a single patch SIRS model with a period of immunity of fixed length, recruitment-death demographics, disease related deaths and mass action incidence, the basic reproduction number R0R0 is identified. It is shown that the disease-free equilibrium is globally asymptotically stable if R0<1R0<1. For R0>1R0>1, local stability of the endemic equilibrium and Hopf bifurcation analysis about this equilibrium are carried out. Moreover, a practical numerical approach to locate the bifurcation values for a characteristic equation with delay-dependent coefficients is provided. For a two patch SIRS model with travel, it is shown that there are several threshold quantities determining its dynamic behavior and that travel can reduce oscillations in both patches; travel may enhance oscillations in both patches; or travel can switch oscillations from one patch to another.
Journal: Mathematical Biosciences - Volume 215, Issue 1, September 2008, Pages 1–10