Effect of dispersal in disease models

• Main Authors: Tasi, Chien-Wei, 蔡介瑋
• Other Authors: Cheng, Chang-Yuan
• Format: Others
• Language: zh-TW
• Published: 2014
• Online Access: http://ndltd.ncl.edu.tw/handle/84376687508910243017

碩士 === 國立屏東教育大學 === 應用數學系 === 102 === This research is determined in the dynamic systems theory as a tool, and aims to study a disease model with migration.The purpose is to know whether the change of migration affects the existence of the disease and the stability of an equilibrium state in the whole system. We are interested to know, in the case of other parameters fixed, whether the migration rate between the two patches affects the existence of periodic solutions. Specifically, we design parameters of two isolated habitats for existence of periodic orbit, and then investigate whether the change of migration rate affects the existence of periodic solution in the whole system.