Dynamic Analysis of a Vector-Born Disease Model with the Incubation Period
A vector-born disease model with the incubation period is invested.The threshold value determining whether the disease dies out is obtained,by using the theory and methods of characteristic value,the stabilities of disease-free and endemic equilibria are proved.Choosing the time delay as a bifurcation parameter,Hopf bifurcation for the model is investigated.Simulation results are presented to illustrate our main results.