Stability analysis in SIR model with nonconstant dispersal

• Main Authors: PENG, HUI-HSUAN, 彭蕙萱
• Other Authors: CHENG, CHANG-YUAN
• Format: Others
• Language: zh-TW
• Published: 2013
• Online Access: http://ndltd.ncl.edu.tw/handle/33762191845248161809

碩士 === 國立屏東教育大學 === 應用數學系 === 101 === In this paper, we study the dynamic of the disease spreading in two habitats. We use Kermac McKendrick model as the basic model. We consider the creature birth rate, the mortality rate, the epidemic disease rate, the recovered rate. We assume the creature migrating between two habitats is available and the rate of migration will be effected by the influence of media. The method of this research include that calculating the equilibrium point, using Jacobian matrix to analyze the local stability of equilibrium, and using MATLAB to simulation dynamics of our model to understand the situation of disease spreading between two patches and how the influence of media works at the persistence of disease under migration between two different habitats.