@article{fdi:010081520,
  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}. {Y}. 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 equilibrium is globally asymptotically stable and the infection is cleared in the host 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 on the outbreak severity. {F}or the second part, the initial model is extended with intervention methods. {B}y taking into account antiretroviral therapy ({ART}) interventions and the probability of treatment drop out, we discuss optimal intervention methods which minimize the number of {AIDS} cases.},
  keywords = {{HIV} ; {ART} ; age structure ; non-linear dynamical system ; stability ; optimal ; control},
  booktitle = {},
  journal = {{M}athematical {M}odelling of {N}atural {P}henomena},
  volume = {16},
  numero = {},
  pages = {30 [32 p.]},
  ISSN = {0973-5348},
  year = {2021},
  DOI = {10.1051/mmnp/2021024},
  URL = {https://www.documentation.ird.fr/hor/fdi:010081520},
}