Dynamical behaviors of a general humoral immunity viral infection model with distributed invasion and production  

作　　者：A. M. Etaiw N. H. AIShamrani K. Hattaf 

机构地区：[1]Department of Mathematics, Faculty of Science King Abdulaziz University, P. O. Box 80203 Jeddah 21589, Saudi Arabia [2]Department of Mathematics and Computer Science Faculty of Sciences Ben M'sik, Hassan H University P. O. Box 7955 Sidi Othman, Casablanca, Morocco [3]Centre Regional des Meticrs de l'Education et de la Formation (CRMEF), 20340 Derb Ghalef Casablanca, Morocco

出　　处：《International Journal of Biomathematics》2017年第3期77-101,共25页生物数学学报（英文版）

摘　　要：A general nonlinear mathematical model for the viral infection with humoral immunity and two distributed delays is proposed and analyzed. Two bifurcation parameters, the basic reproduction number, R0 and the humoral immunity number, R1 are derived. We established a set of conditions on the general functions which are sufficient to determine the global dynamics of the model. Utilizing Lyapunov functions and LaSalle＇s invariance principle, the global asymptotic stability of all equilibria of the model is obtained. An example is presented and some numerical simulations are conducted in order to illustrate the dynamical behavior.

关 键 词：Virus dynamics intracellular delay global stability humoral immune res- ponse Lyapunov functional. 

分 类 号：G[文化科学]