Continuous hybridoma bioreactor: sensitivity analysis and optimal control

2006 ◽  
Vol 44 (2) ◽  
pp. 81 ◽  
Author(s):  
Irina Dana Ofiţeru ◽  
Vasile Lavric ◽  
Alexandru Woinaroschy
Keyword(s):  
Optimal Control ◽  
Sensitivity Analysis

scholarly journals Sensitivity analysis and optimal control of COVID-19 dynamics based on SEIQR model

2021 ◽  
Vol 22 ◽  
pp. 103956
Author(s):  
Takasar Hussain ◽  
Muhammad Ozair ◽  
Farhad Ali ◽  
Sajid ur Rehman ◽  
Taghreed A. Assiri ◽  
...  
Keyword(s):  
Optimal Control ◽  
Sensitivity Analysis

scholarly journals Fractional-Order Modelling and Optimal Control of Cholera Transmission

2021 ◽  
Vol 5 (4) ◽  
pp. 261
Author(s):  
Silvério Rosa ◽  
Delfim F. M. Torres
Keyword(s):  
Mathematical Model ◽  
Optimal Control ◽  
Sensitivity Analysis ◽  
Fractional Order ◽  
Control Measures ◽  
Time Interval ◽  
Variable Order ◽  
Effectiveness Analysis ◽  
The Cost ◽  
Derivative Order

A Caputo-type fractional-order mathematical model for “metapopulation cholera transmission” was recently proposed in [Chaos Solitons Fractals 117 (2018), 37–49]. A sensitivity analysis of that model is done here to show the accuracy relevance of parameter estimation. Then, a fractional optimal control (FOC) problem is formulated and numerically solved. A cost-effectiveness analysis is performed to assess the relevance of studied control measures. Moreover, such analysis allows us to assess the cost and effectiveness of the control measures during intervention. We conclude that the FOC system is more effective only in part of the time interval. For this reason, we propose a system where the derivative order varies along the time interval, being fractional or classical when more advantageous. Such variable-order fractional model, that we call a FractInt system, shows to be the most effective in the control of the disease.

Sensitivity analysis for optimal control problems described by nonlinear fractional evolution inclusions

2018 ◽  
Vol 21 (6) ◽  
pp. 1439-1470 ◽  
Author(s):  
Xiuwen Li ◽  
Yunxiang Li ◽  
Zhenhai Liu ◽  
Jing Li
Keyword(s):  
Optimal Control ◽  
Sensitivity Analysis ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Optimal Control Problems ◽  
Mild Solutions ◽  
Control Problems ◽  
Initial Condition ◽  
Evolution Inclusions ◽  
Technical Details

Abstract In this paper, a sensitivity analysis of optimal control problem for a class of systems described by nonlinear fractional evolution inclusions (NFEIs, for short) on Banach spaces is investigated. Firstly, the nonemptiness as well as the compactness of the mild solutions set S(ζ) (ζ being the initial condition) for the NFEIs are obtained, and we also present an extension Filippov’s theorem and whose proof differs from previous work only in some technical details. Finally, the optimal control problems described by NFEIs depending on the initial condition ζ and the parameter η are considered and the sensitivity properties of the optimal control problem are also established.

ASSESSMENT OF VECTOR CONTROL AND PHARMACEUTICAL TREATMENT IN REDUCING MALARIA BURDEN: A SENSITIVITY AND OPTIMAL CONTROL ANALYSIS

2012 ◽  
Vol 20 (01) ◽  
pp. 67-85 ◽  
Author(s):  
ZI SANG ◽  
ZHIPENG QIU ◽  
QINGKAI KONG ◽  
YUN ZOU
Keyword(s):  
Optimal Control ◽  
Sensitivity Analysis ◽  
Vector Control ◽  
Disease Transmission ◽  
Control Programme ◽  
Control Analysis ◽  
Optimal Control Strategy ◽  
Malaria Burden ◽  
Sensitivity Indices ◽  
Cost Efficient

Vector control and pharmaceutical treatments are currently the main methods of malaria control. To assess their impacts on disease transmission and prevalence, sensitivity and optimal control analysis are performed respectively on a mathematical malaria model. Comparisons are made between the result of sensitivity analysis and that of optimal control analysis. Numerical simulation shows that optimal control strategy is available and cost-efficient. The simulating results also indicates that vector control is always much more beneficial than other anti-malaria measures in an optimal control programme. This further suggests that the results of sensitivity analysis by calculating sensitivity indices cannot help policy-makers to formulate a more effective optimal control programme.

Sign in / Sign up

Export Citation Format

Share Document