A micro-epidemic model for primary dengue infection

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• 作者：Arti Mishra ; ^{mishraarti21@gmail.com} ; Sunita Gakkhar ^{sungkfma@gmail.com}
• 关键词：T immune cells ; Basic reproduction number ; Primary dengue infection ; Antibodies
• 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.