scholarly journals The Conservation of Renewable Resources

Conservation ◽  
2021 ◽  
pp. 72-104
Author(s):  
Charles Perrings
Keyword(s):  
Natural Resource Management ◽  
Fire Regime ◽  
Ecosystem Processes ◽  
Aquatic Systems ◽  
Control Methods ◽  
State Variables ◽  
System P ◽  
Model Conversion ◽  
Optimal Control Methods ◽  
Conservation Decisions

Chapter 4 further develops the theory of the conservation of living systems. Natural resource management problems are analyzed using optimal control methods. Natural resources are the state variables of the problem and management instruments are control variables. Management might include harvest, culling, restocking, reseeding, and replanting, or interventions affecting, for example, the fire regime, hydrological flows, the structure of habitats, the functioning of the system, and the ecosystem processes involved. The chapter considers three types of systems: aquatic systems, forest systems, and rangelands. It shows how the methods developed to model conversion/conservation decisions in all cases embed the Hotelling arbitrage condition. It shows how the level of conservation in each type of system is impacted by access rules, and the array of benefits obtained from the system.

Optimal Control Methods for an Electrochemical Sewage

1996 ◽  
Vol 28 (1-2) ◽  
pp. 85-92
Author(s):  
Valentin V. Ostapenko ◽  
A. P. Yakovleva ◽  
I. S. Voznyuk ◽  
V. M. Rogov
Keyword(s):  
Optimal Control ◽  
Control Methods ◽  
Optimal Control Methods

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.

scholarly journals Optimal control of epidemics in metapopulations

2009 ◽  
Vol 6 (41) ◽  
pp. 1135-1144 ◽  
Author(s):  
Robert E. Rowthorn ◽  
Ramanan Laxminarayan ◽  
Christopher A. Gilligan
Keyword(s):  
Optimal Control ◽  
Disease Control ◽  
The Other ◽  
Control Methods ◽  
Scarce Resources ◽  
Total Level ◽  
Infection Treatment ◽  
Control Of Epidemics ◽  
Optimal Control Methods

Little is known about how best to deploy scarce resources for disease control when epidemics occur in different but interconnected regions. We use a combination of optimal control methods and epidemiological theory for metapopulations to address this problem. We consider what strategy should be used if the objective is to minimize the discounted number of infected individuals during the course of an epidemic. We show, for a system with two interconnected regions and an epidemic in which infected individuals recover and can be reinfected, that equalizing infection in the two regions is the worst possible strategy in minimizing the total level of infection. Treatment should instead be preferentially directed at the region with the lower level of infection, treating the other subpopulation only when there is resource left over. The same strategy holds with preferential treatments of regions with lower levels of infection when quarantine is introduced.

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