Abstract:

In this paper, by studying the transmission mechanism of echinococcosis and the epidemic status of echinococcosis in Tibet, we constructed a dynamic model of echinococcosis in line with the actual situation in Tibet. The stability of the equilibrium point of the model is analyzed by Lyapunov function, and the global stability of disease-free equilibrium point and endemic equilibrium point is proved. Using the collected data, according to the model, the basic regeneration number $R_{0}$ and the prevalence of echinococcosis were estimated and simulated. The results show that the model is in line with the local actual communication situation and has certain rationality. Finally, reasonable suggestions are given for the prevention and treatment of domesticated stray dogs and publicity and education.

Key words: Echinococcosis, Dynamic model, Equilibrium point, Basic regeneration number