New aspects of time fractional optimal control problems within operators with nonsingular kernel
This paper deals with a new formulation of time fractional optimal control problems governed
by Caputo-Fabrizio (CF) fractional derivative. The optimality system for this problem is …
by Caputo-Fabrizio (CF) fractional derivative. The optimality system for this problem is …
Optimal control of a fractional order epidemic model with application to human respiratory syncytial virus infection
S Rosa, DFM Torres - Chaos, Solitons & Fractals, 2018 - Elsevier
A human respiratory syncytial virus surveillance system was implemented in Florida in 1999,
to support clinical decision-making for prophylaxis of premature newborns. Recently, a local …
to support clinical decision-making for prophylaxis of premature newborns. Recently, a local …
Optimal vaccination strategy of a constrained time-varying SEIR epidemic model
The optimal control strategy for time-varying epidemic models remains a wide open
research area. In this paper, the optimal vaccination strategy for a constrained time-varying …
research area. In this paper, the optimal vaccination strategy for a constrained time-varying …
Optimal quarantine strategies for the COVID-19 pandemic in a population with a discrete age structure
JAM Gondim, L Machado - Chaos, Solitons & Fractals, 2020 - Elsevier
The goal of this work is to study the optimal controls for the COVID-19 epidemic in Brazil. We
consider an age-structured SEIRQ model with quarantine compartment, where the controls …
consider an age-structured SEIRQ model with quarantine compartment, where the controls …
Global stability of a Caputo fractional SIRS model with general incidence rate
MR Sidi Ammi, M Tahiri, DFM Torres - Mathematics in Computer Science, 2021 - Springer
We introduce a fractional order SIRS model with non-linear incidence rate. Existence of a
unique positive solution to the model is proved. Stability analysis of the disease free …
unique positive solution to the model is proved. Stability analysis of the disease free …
Predicting the dynamical behavior of COVID-19 epidemic and the effect of control strategies
MQ Shakhany, K Salimifard - Chaos, Solitons & Fractals, 2021 - Elsevier
This paper uses transformed subsystem of ordinary differential equation seirs model, with
vital dynamics of birth and death rates, and temporary immunity (of infectious individuals or …
vital dynamics of birth and death rates, and temporary immunity (of infectious individuals or …
[HTML][HTML] On analysis and optimal control of a SEIRI epidemic model with general incidence rate
This paper deals with the study of a SEIRI epidemic model with relapse and general
incidence function. Using the next-generation matrix method, we have looked for the …
incidence function. Using the next-generation matrix method, we have looked for the …
Parameter estimation, sensitivity analysis and optimal control of a periodic epidemic model with application to HRSV in Florida
S Rosa, DFM Torres - arXiv preprint arXiv:1801.09634, 2018 - arxiv.org
A state wide Human Respiratory Syncytial Virus (HRSV) surveillance system was
implemented in Florida in 1999 to support clinical decision-making for prophylaxis of …
implemented in Florida in 1999 to support clinical decision-making for prophylaxis of …
Stability analysis and optimal control of a fractional HIV-AIDS epidemic model with memory and general incidence rate
We investigate the celebrated mathematical SICA model but using fractional differential
equations in order to better describe the dynamics of HIV-AIDS infection. The infection …
equations in order to better describe the dynamics of HIV-AIDS infection. The infection …
Optimal quarantine strategies for COVID-19 control models
E Grigorieva, E Khailov, A Korobeinikov - arXiv preprint arXiv:2004.10614, 2020 - arxiv.org
Optimal control problems reflecting the finding of effective quarantine strategies are
considered for two control SEIR~ type models describing the spread of the COVID-19 virus …
considered for two control SEIR~ type models describing the spread of the COVID-19 virus …