caa a22 4500 445330090 CHVBK 20180317142734.0 cr unu---uuuuu 170323e20111101xx s 000 0 eng 10.1007/s00285-010-0397-x doi (NATIONALLICENCE)springer-10.1007/s00285-010-0397-x Modeling the adaptive immune response in HBV infection [Elektronische Daten] [Noura Yousfi, Khalid Hattaf, Abdessamad Tridane] The aim of this work is to investigate a new mathematical model that describes the interactions between Hepatitis B virus (HBV), liver cells (hepatocytes), and the adaptive immune response. The qualitative analysis of this as cytotoxic T lymphocytes (CTL) cells and the antibodies. These outcomes are (1) a disease free steady state, which its local stability is characterized as usual by R 0< 1, (2) and the existence of four endemic steady states when R 0>1. The local stability of these steady states depends on functions of R 0. Our study shows that although we give conditions of stability of these steady states, not all conditions are feasible. This rules out the local stability of two steady states. The conditions of stability of the two other steady states (which represent the complete failure of the adaptive immunity and the persistence of the disease) are formulated based on the domination of CTL cells response or the antibody response. Springer-Verlag, 2011 HBV nationallicence Cytotoxic T lymphocytes nationallicence Antibody responses nationallicence Ratio-dependent nationallicence Basic infection reproduction number nationallicence Yousfi Noura Department of Mathematics and Computer Science, Faculty of Sciences Ben M'sik, Hassan II University, P. O. Box 7955, Sidi Othman, Casablanca, Morocco aut Hattaf Khalid Department of Mathematics and Computer Science, Faculty of Sciences Ben M'sik, Hassan II University, P. O. Box 7955, Sidi Othman, Casablanca, Morocco aut Tridane Abdessamad Department of Applied Sciences and Mathematics, Arizona State University, Polytechnic Campus, 85212, Mesa, AZ, USA aut Journal of Mathematical Biology Springer-Verlag 63/5(2011-11-01), 933-957 0303-6812 63:5<933 2011 63 285 https://doi.org/10.1007/s00285-010-0397-x text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00285-010-0397-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Yousfi Noura Department of Mathematics and Computer Science, Faculty of Sciences Ben M'sik, Hassan II University, P. O. Box 7955, Sidi Othman, Casablanca, Morocco aut NATIONALLICENCE 700 1- Hattaf Khalid Department of Mathematics and Computer Science, Faculty of Sciences Ben M'sik, Hassan II University, P. O. Box 7955, Sidi Othman, Casablanca, Morocco aut NATIONALLICENCE 700 1- Tridane Abdessamad Department of Applied Sciences and Mathematics, Arizona State University, Polytechnic Campus, 85212, Mesa, AZ, USA aut NATIONALLICENCE 773 0- Journal of Mathematical Biology Springer-Verlag 63/5(2011-11-01), 933-957 0303-6812 63:5<933 2011 63 285 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer