(Chinese Project) Infectious Diseases Model Based on Dynamical System Model with Migration and Periodic Pulse Inoculation Effects

Proposed the SIVS model of two cities by adding the effects of periodic pulse inoculation and population migration to the traditional SIR model
Obtained and visualized the numerical solution of the equation using MATLAB; divided the solutions into “disease-free equilibrium” and “endemic equilibrium” according to whether the disease will be extinct in the stable state
Found the analytic solution for disease-free equilibrium; analyzed its stability using Lyapunov’s second theorem
Predicted the disease trends based on the model; provided practical strategy on the prevention and control of the disease