Multiobjective optimization to a TB-HIV/AIDS coinfection optimal control problem

@article{Denysiuk2017MultiobjectiveOT,
  title={Multiobjective optimization to a TB-HIV/AIDS coinfection optimal control problem},
  author={Roman Denysiuk and Cristiana J. Silva and Delfim F. M. Torres},
  journal={Computational and Applied Mathematics},
  year={2017},
  volume={37},
  pages={2112-2128}
}
We consider a recent coinfection model for Tuberculosis (TB), Human Immunodeficiency Virus (HIV) infection, and Acquired Immunodeficiency Syndrome (AIDS) proposed in Silva and Torres (Discr Contin Dyn Syst 35(9):4639–4663, 2015). We introduce and analyze a multiobjective formulation of an optimal control problem, where the two conflicting objectives are minimization of the number of HIV-infected individuals with AIDS clinical symptoms and coinfected with AIDS and active TB; and costs related to… 
Estimating the impact of antiretroviral therapy on HIV-TB co-infection: Optimal strategy prediction
TLDR
Numerical results imply that if both HIV and TB are endemic in the population, then in order to bring in minimum burden from the co-infection, optimal control efforts must be enforced rather than constant treatment rate.
Assessing the Effects of Holling Type-II Treatment Rate on HIV-TB Co-infection
TLDR
A HIV-TB co-infection model is explored which incorporates a non-linear treatment rate for TB and the disease-free equilibrium point of the HIV sub-model is shown to be locally as well as globally asymptotically stable when its corresponding reproduction number is less than unity.
Optimal control of an HIV model with a trilinear antibody growth function
TLDR
A new mathematical model of the human immunodeficiency virus (HIV) is proposed and study to consider that the antibody growth depends not only on the virus and on the antibodies concentration but also on the uninfected cells concentration.
Analysis and Optimal Control of an Intracellular Delayed HIV Model with CTL Immune Response
TLDR
A delayed model describing the dynamics of Human Immunodeficiency Virus (HIV) with Cytotoxic T Lymphocytes (CTL) immune response with optimal control is investigated, confirming stability of the disease-free and endemic equilibria and illustrating the effectiveness of the two incorporated treatments via optimal control.
Optimal control of a heroin epidemic mathematical model
A heroin epidemic mathematical model with prevention information and treatment, as control interventions, is analyzed, assuming that an individual’s behavioral response depends on the spreading of
...
...

References

SHOWING 1-10 OF 35 REFERENCES
A TB-HIV/AIDS coinfection model and optimal control treatment
TLDR
A population model for TB-HIV/AIDS coinfection transmission dynamics, which considers antiretroviral therapy for HIV infection and treatments for latent and active tuberculosis, shows that non intuitive measures can lead to the reduction of the number of individuals with active TB and AIDS.
Multiobjective approach to optimal control for a tuberculosis model
TLDR
A multiobjective optimization approach is proposed to find optimal control strategies for the minimization of active infectious and persistent latent individuals, as well as the cost associated to the implementation of the control strategies.
Modeling TB and HIV co-infections.
TLDR
The increased progression rate from latent to active TB in co-infected individuals may play a significant role in the rising prevalence of TB; and the increased progression rates from HIV to AIDS have not only increased the prevalence level of HIV while decreasing TB prevalence, but also generated damped oscillations in the system.
Cost-Effectiveness Analysis of Optimal Control Measures for Tuberculosis
TLDR
The aim was to study how these control measures should be implemented, for a certain time period, in order to reduce the number of active infected individuals, while minimizing the interventions implementation costs.
Multiobjective approach to optimal control for a dengue transmission model
TLDR
The obtained results show that multiobjective optimization is an effective tool for finding the optimal control of dengue disease and finding the most effective ways of controlling the disease.
HIV infection-associated tuberculosis: the epidemiology and the response.
TLDR
Decentralization of HIV treatment services and strengthening of its integration with TB services are essential to rapidly expand access to antiretroviral therapy and methods for prevention of HIV infection.
A co-infection model of malaria and cholera diseases with optimal control.
Optimal control of the chemotherapy of HIV
TLDR
Using an existing ordinary differential equation model, chemotherapy is introduced in an early treatment setting through a dynamic treatment and then solved for an optimal chemotherapy strategy based on a combination of maximizing benefit based on T cell counts and minimizing the systemic cost of chemotherapy.
...
...