Oscillations in a patchy environment disease model
作者： Fred Brauer , P. van den Driessche , Lin Wang
DOI: 10.1016/J.MBS.2008.05.001
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摘要: Abstract For a single patch SIRS model with period of immunity fixed length, recruitment-death demographics, disease related deaths and mass action incidence, the basic reproduction number R 0 is identified. It shown that disease-free equilibrium globally asymptotically stable if 1 . > , local stability endemic Hopf bifurcation analysis about this are carried out. Moreover, practical numerical approach to locate values for characteristic equation delay-dependent coefficients provided. two travel, it there several threshold quantities determining its dynamic behavior travel can reduce oscillations in both patches; may enhance or switch from one another.
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