Rich Dynamics of a Brucellosis Model with Transport

الملخص EN

Brucellosis is one of the major infectious diseases in China.

In this study, we consider an SI model of animal brucellosis with transport.

The basic reproduction number ℛ0 is obtained, and the stable state of the equilibria is analyzed.

Numerical simulation shows that different initial values have a great influence on results of the model.

In addition, the sensitivity analysis of ℛ0 with respect to different parameters is analyzed.

The results reveal that the transport has dual effects.

Specifically, transport can lead to increase in the number of infected animals; besides, transport can also reduce the number of infected animals in a certain range.

The analysis shows that the number of infected animals can be controlled if animals are transported reasonably.