@article{fdi:010053040,
  title = {{S}tability of differential susceptibility and infectivity epidemic models},
  author = {{B}onzi, {B}. and {F}all, {A}.{A}. and {I}ggidr, {A}. and {S}allet, {G}authier},
  editor = {},
  language = {{ENG}},
  abstract = {{W}e introduce classes of differential susceptibility and infectivity epidemic models. {T}hese models address the problem of flows between the different susceptible, infectious and infected compartments and differential death rates as well. {W}e prove the global stability of the disease free equilibrium when the basic reproduction ratio {R}-0 <= 1and the existence and uniqueness of an endemic equilibrium when {R}-0 > 1. {W}e also prove the global asymptotic stabilit of the endemic equilibrium for a differential susceptibility and staged progression infectivity model, when {R}-0 > 1. {O}ur results encompass and generalize those of {H}yman and {L}i ({J} {M}ath {B}iol 50:626-644, 2005; {M}ath {B}iosci {E}ng 3:89-100, 2006).},
  keywords = {{N}onlinear dynamical systems ; {G}lobal stability ; {L}yapunov methods ; {D}ifferential susceptibility models ; {R}eproductive number ; {HBV}},
  booktitle = {},
  journal = {{J}ournal of {M}athematical {B}iology},
  volume = {62},
  numero = {1},
  pages = {39--64},
  ISSN = {0303-6812},
  year = {2011},
  DOI = {10.1007/s00285-010-0327-y},
  URL = {https://www.documentation.ird.fr/hor/fdi:010053040},
}