Analysis of an SIR model with bilinear incidence rate
JJ Wang, JZ Zhang, Z Jin - Nonlinear Analysis: Real World Applications, 2010 - Elsevier
An SIR vector disease model with incubation time is studied under the assumption that the
susceptible of host population satisfies the logistic equation and the incidence rate is the
simple mass action incidence. Threshold quantity ℜ0 is derived which determines whether
the disease dies out or remains endemic. If ℜ0< 1, the disease-free equilibrium is globally
asymptotically stable and the disease eventually disappears. If ℜ0> 1, there will be an
endemic and the disease is permanent if it initially exists. Using the time delay (ie …
susceptible of host population satisfies the logistic equation and the incidence rate is the
simple mass action incidence. Threshold quantity ℜ0 is derived which determines whether
the disease dies out or remains endemic. If ℜ0< 1, the disease-free equilibrium is globally
asymptotically stable and the disease eventually disappears. If ℜ0> 1, there will be an
endemic and the disease is permanent if it initially exists. Using the time delay (ie …
以上显示的是最相近的搜索结果。 查看全部搜索结果