刊名:Communications in Nonlinear Science and Numerical Simulation
出版年:2017
出版时间:June 2017
年:2017
卷:47
期:Complete
页码:426-437
全文大小:1789 K
卷排序:47
文摘
The delay model for primary dengue infection has been proposed by considering cellular as well as humoral response for viral clearance dynamics. Three equilibrium states are found and their existence conditions have been related with antibody recruitment rate which is the part of humoral mediated response. The existence of endemic state is found in two regions depending on the critical level of burst rate. In one region, it is found to be locally stable for certain time period while in other region quasi periodic behavior is obtained. Critical delay is computed where endemic state is found to be locally stable and periodic behavior is obtained for choice of relevant data from literature. Local stability analysis of other two states has been performed analytically and has been related with antibody production rate.