Results 81 to 90 of about 5,134 (164)

A computational and geometric analysis of economic dynamics using Pontryagin’s maximum principle: advanced numerical simulations perspective

open access: yesDiscover Applied Sciences
This research develops and implements a comprehensive Python-based computational framework for solving optimal control problems in economic dynamics using Pontryagin’s Maximum Principle (PMP).
Walle Tilahun   +3 more
doaj   +1 more source

Optimal design for eigen-frequencies of a longitudinal bar using Pontryagin's maximum principle considering the influence of concentrated mass

open access: yesVietnam Journal of Mechanics, 2017
In this paper, the problem of optimal design for eigen-frequencies of a longitudinal bar using Pontryagin's maximum principle (PMP) considering the influence of concentrated mass is presented.
Bui Hai Le, Tran Minh Thuy
doaj   +1 more source

Optimal control of a social epidemic model with media coverage

open access: yesJournal of Biological Dynamics, 2017
A new social epidemic model to depict alcoholism with media coverage is proposed in this paper. Some fundamental properties of the model including existence and positivity as well as boundedness of equilibria are investigated. Stability of all equilibria
Hai-Feng Huo   +3 more
doaj   +1 more source

A Dynamic Model for Fishery Resource with Reserve Area and Taxation

open access: yesJournal of Applied Mathematics, 2012
The present paper deals with a dynamic reaction model of a fishery. The dynamics of a fishery resource system in an aquatic environment consists of two zones: a free fishing zone and a reserve zone.
Hai-Feng Huo   +2 more
doaj   +1 more source

Optimal Harvest Control in a Singular Prey-Predator Fishery Model with Maturation Delay and Gestation Delay

open access: yesDiscrete Dynamics in Nature and Society, 2016
This paper presents a singular prey-predator fishery model, where maturation delay for prey and gestation delay for predator are considered. Fishing efforts are introduced to harvest prey and predator population, which are developed as control ...
Chao Liu, Longfei Yu, Qingling Zhang
doaj   +1 more source

An optimal control model for monkeypox transmission dynamics with vaccination and immunity loss following recovery

open access: yesHealthcare Analytics
The viral illness known as monkeypox causes symptoms such a rash that can appear on the hands, feet, chest, face, and lips or near the genitalia. This study presents a mathematical model for the kinetics of monkeypox transmission with vaccination and ...
O.A. Adepoju, H.O. Ibrahim
doaj   +1 more source

Geometry of Optimal Control for Control-Affine Systems

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2013
Motivated by the ubiquity of control-affine systems in optimal control theory, we investigate the geometry of point-affine control systems with metric structures in dimensions two and three.
Jeanne N. Clelland   +2 more
doaj   +1 more source

Dynamic optimization in natural resources management [PDF]

open access: yes
Dynamic modeling is general and recently the most interesting perspective to solve a dynamic economic problem based on Pontryagin’s maximum principle. Moreover traditional economic theory, up to the middle of twentieth century, builds up the production ...
Halkos, George
core   +1 more source

Optimal control of Cocoa Black pod disease: A multi-pronged approach

open access: yesFranklin Open
This study presents a novel approach to controlling cocoa black pod disease, caused by Phytophthora megakarya. Unlike previous methods, we employ a mathematical modeling framework based on Pontryagin’s Maximum Principle to optimize control strategies ...
A.O. Adeniran   +2 more
doaj   +1 more source

Optimal management of a renewable resource utilized by a population with taxation as a control variable

open access: yesNonlinear Analysis, 2013
A dynamical model is proposed and analyzed to discuss the effect of population on a resource biomass by taking into account the crowding effect. It is assumed that the resource biomass, which has commercial importance, is subjected to harvesting.
Balram Dubey, Atasi Patra
doaj  

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