scholarly journals Optimal Control for Transmission of Water Pollutants

2018 ◽  
Vol 3 (4) ◽  
pp. 381-391 ◽  
Author(s):  
Nita H. Shah ◽  
Shreya N. Patel ◽  
Moksha H. Satia ◽  
Foram A. Thakkar
Keyword(s):  
Numerical Simulation ◽  
Mathematical Model ◽  
Optimal Control ◽  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Waste Materials ◽  
Chemical Plants ◽  
Water Pollutants ◽  
Linear Ordinary Differential Equations ◽  
Oil Gas

Pollutants are formed when oil, gas, chemical plants, etc. discharge their harmful waste materials into stream or other water bodies. In this paper, a mathematical model for water pollutants which are soluble and insoluble has been formulated as a system of non-linear ordinary differential equations. Control is applied on insoluble water pollutants to process them into soluble water pollutants. Numerical simulation has been carried out which suggest that soluble water pollutants are increasing as compared to insoluble water pollutants.

Analysis of a mathematical model for Dengue-Chikungunya

2017 ◽  
pp. 2933-2940
Author(s):  
Oscar A. Manrique A. ◽  
Dalia M. Munoz P. ◽  
Anibal Munoz L. ◽  
Mauricio Ropero P. ◽  
Steven Raigosa O. ◽  
...  
Keyword(s):  
Dynamical System ◽  
Mathematical Model ◽  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Basic Reproduction Number ◽  
Reproduction Number ◽  
Epidemic Threshold ◽  
Infectious Process ◽  
Linear Ordinary Differential Equations ◽  
Next Generation Matrix

A dynamical system of non-linear ordinary differential equations which describes the Dengue-Chikungunya infectious process is reported. In this model it is considered the presence of two viruses transmitted by the same vector. Taking into account this fact, we have determined the epidemic threshold, basic reproduction number, using the next generation matrix. The simulations of the differential equations system are carried out with the MATLAB software.

scholarly journals An Optimal Control Problem by a Hybrid System of Hyperbolic and Ordinary Differential Equations

Games ◽  
2021 ◽  
Vol 12 (1) ◽  
pp. 23
Author(s):  
Alexander Arguchintsev ◽  
Vasilisa Poplevko
Keyword(s):  
Optimal Control ◽  
Differential Equations ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Ordinary Differential Equations ◽  
Hyperbolic Equations ◽  
Control Methods ◽  
The Right ◽  
The Cost ◽  
Optimal Control Methods

This paper deals with an optimal control problem for a linear system of first-order hyperbolic equations with a function on the right-hand side determined from controlled bilinear ordinary differential equations. These ordinary differential equations are linear with respect to state functions with controlled coefficients. Such problems arise in the simulation of some processes of chemical technology and population dynamics. Normally, general optimal control methods are used for these problems because of bilinear ordinary differential equations. In this paper, the problem is reduced to an optimal control problem for a system of ordinary differential equations. The reduction is based on non-classic exact increment formulas for the cost-functional. This treatment allows to use a number of efficient optimal control methods for the problem. An example illustrates the approach.

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