Analysis of a SIR model with pulse vaccination and temporary immunity: Stability, bifurcation and a cylindrical attractor
KEM Church, X Liu - Nonlinear Analysis: Real World Applications, 2019 - Elsevier
A time-delayed SIR model with general nonlinear incidence rate, pulse vaccination and
temporary immunity is developed. The basic reproduction number is derived and it is shown
that the disease-free periodic solution generically undergoes a transcritical bifurcation to an
endemic periodic solution as the vaccination coverage drops below a critical level. Using
numerical continuation and a monodromy operator discretization scheme, we track the
bifurcating endemic periodic solution as the vaccination coverage is decreased and a Hopf …
temporary immunity is developed. The basic reproduction number is derived and it is shown
that the disease-free periodic solution generically undergoes a transcritical bifurcation to an
endemic periodic solution as the vaccination coverage drops below a critical level. Using
numerical continuation and a monodromy operator discretization scheme, we track the
bifurcating endemic periodic solution as the vaccination coverage is decreased and a Hopf …
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