@techreport{fdi:010076968,
  title = {{O}ptimal intervention strategies of staged progression {HIV} infections through an age-structured model with probabilities of {ART} drop out},
  author = {{B}a, {M}. and {D}jidjou-{D}emasse, {R}ams{\`e}s and {L}am, {M}. and {T}ewa, {J}.{J}.},
  editor = {},
  language = {{ENG}},
  abstract = {{I}n this paper, we construct a model to describe the transmission of {HIV} in a homogeneous host population. {B}y considering the specific mechanism of {HIV}, we derive a model structured in three successive stages : (i) primary infection, (ii) long phase of latency without symptoms and (iii) {AIDS}. {E}ach {HIV} stage is stratified by the duration for which individuals have been in the stage, leading to a continuous age-structure model. {I}n the first part of the paper, we provide a global analysis of the model depending upon the basic reproduction number {R}0. {W}hen {R}0 ?1, then the disease-free equilibriumis globally asymptotically stable and the infection is cleared in thehost population. {O}n the contrary, if {R}0 >1, we prove the epidemic's persistence with the asymptotic stability of the endemic equilibrium. {B}y performing the sensitivity analysis, we then determine the impact of control-related parameters of the outbreak severity. {F}or the second part, the initial model is extended with intervention methods. {B}y taking into account {ART} interventions and the probability of treatment drop out, we discuss optimal interventions methods which minimize the number of {AIDS} cases.},
  keywords = {},
  address = {},
  series = {{A}r{X}iv},
  pages = {en ligne [43 ]},
  year = {2019},
  URL = {https://www.documentation.ird.fr/hor/fdi:010076968},
}