AN SIQS INFECTION MODEL WITH NONLINEAR AND ISOLATION

作者：Yang Xiuxiang^*; Xue Chunrong

来源：International Journal of Biomathematics, 2008, 1(2): 239-245.

DOI：10.1142/S1793524508000199

• Infection model
• isolation
• equilibration point
• asymptotically stable

By means of asymptotically stable theory and infection model theory of ordinary differential equation, we do research on SIQS model with nonlinear and isolation. Firstly, we obtain the existence of threshold value R(0) of disease-free equilibration point and local disease equilibration point. Secondly, we prove disease-free equilibration point is locally asymptotically stable when R(0) < 1, and local disease equilibration point is locally asymptotically stable when R(0) > 1. Furthermore, we have disease-free equilibration point and local disease equilibration point are globally asymptotically stable with the help of Liapunov function. Lastly, we explain at the point of biology.

• 出版日期2008-6
• 单位渭南师范学院