Ebola model and optimal control with vaccination constraints

DOI10.3934/jimo.2017054zbMath1412.49005arXiv1703.01368OpenAlexW3101757071WikidataQ60224174 ScholiaQ60224174MaRDI QIDQ1716956

IvÁn Area, Cristiana J. Silva, Delfim F. M. Torres, Faïçal Ndaïrou, Juan. J. Nieto

Publication date: 5 February 2019

Published in: Journal of Industrial and Management Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.01368

zbMATH Keywords

mathematical modellingEbola viruscontrol of the spread of the Ebola diseaseoptimal control with vaccination constraintstransmission of Ebolavaccination scenario

Mathematics Subject Classification ID

Epidemiology (92D30) Applications of optimal control and differential games (49N90) Existence theories for optimal control problems involving ordinary differential equations (49J15) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (21)

An efficient algorithm for solving the fractional optimal control of SIRV epidemic model with a combination of vaccination and treatment ⋮ An efficient spectral collocation method for the dynamic simulation of the fractional epidemiological model of the Ebola virus ⋮ A reliable and competitive mathematical analysis of Ebola epidemic model ⋮ An optimal control model to design strategies for reducing the spread of the Ebola virus disease ⋮ Optimal control of a heroin epidemic mathematical model ⋮ Mathematical modelling and nonstandard finite scheme analysis for an Ebola model transmission with information and voluntary isolation ⋮ A time-scaling technique for time-delay switched systems ⋮ Fractional neutral stochastic integrodifferential equations with Caputo fractional derivative: Rosenblatt process, Poisson jumps and Optimal control ⋮ STRUCTURE PRESERVING SPLITTING TECHNIQUES FOR EBOLA REACTION–DIFFUSION EPIDEMIC SYSTEM ⋮ Optimal control of a fractional order epidemic model with application to human respiratory syncytial virus infection ⋮ Optimal control of non-autonomous SEIRS models with vaccination and treatment ⋮ A control approach for monotone systems with multi-valued characteristics: application to an ebola virus model ⋮ Optimal control strategies for the transmission risk of COVID-19 ⋮ Fractional optimal control with fish consumption to prevent the risk of coronary heart disease ⋮ Fractional neutral stochastic differential equations with Caputo fractional derivative: Fractional Brownian motion, Poisson jumps, and optimal control ⋮ Dynamical behaviors and optimal control problem of an \textit{SEIRS} epidemic model with interventions ⋮ Deterministic epidemic models for Ebola infection with time-dependent controls ⋮ Optimal Control of Vaccination and Plasma Transfusion with Potential Usefulness for Covid-19 ⋮ Mathematical analysis of a model of Ebola disease with control measures ⋮ Modeling the transmission dynamics and vaccination strategies for human papillomavirus infection: an optimal control approach ⋮ Dynamical analysis and control strategies in modelling Ebola virus disease

Cites Work

• Unnamed Item
• Unnamed Item
• A TB-HIV/AIDS coinfection model and optimal control treatment
• A mathematical model with quarantine states for the dynamics of Ebola virus disease in human populations
• On a fractional order Ebola epidemic model
• On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
• Mathematical modelling, simulation, and optimal control of the 2014 ebola outbreak in west africa
• The basic reproductive number of Ebola and the effects of public health measures: the cases of Congo and Uganda
• A SEIR model for control of infectious diseases with constraints
• Optimal Control Problems with Mixed Constraints
• Functional Analysis, Calculus of Variations and Optimal Control
• AntiAngiogenic Therapy in Cancer Treatment as an Optimal Control Problem
• Mathematical modeling of 2014 Ebola outbreak
• Predicting and controlling the Ebola infection
• Statistical Inference in a Stochastic Epidemic SEIR Model with Control Intervention: Ebola as a Case Study

This page was built for publication: Ebola model and optimal control with vaccination constraints