Results 1 to 10 of about 149 (149)
Optimal control of a heroin epidemic mathematical model [PDF]
Optimization, 2021 This is a preprint of a paper whose final and definite form is published by 'Optimization' (ISSN 0233-1934).
P. T. Sowndarrajan +3 more
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Mathematical Modelling and Optimal Control of Anthracnose [PDF]
BIOMATH, 2014 In this paper we propose two nonlinear models for the control of anthracnose disease. The first one is an ordinary differential equation (ODE) model which represents the whithin host evolution of the disease. The second model includes spatial diffusion of the disease in a bounded domain О©. We show well formulation of those models checking existence of
Chris Thron +4 more
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Optimal Control in a Mathematical Model of Smoking
Journal of Mathematical and Fundamental Sciences, 2021 This paper presents a dynamic model of smoking with optimal control. The mathematical model is divided into 5 sub-classes, namely, non-smokers, occasional smokers, active smokers, individuals who have temporarily stopped smoking, and individuals who have stopped smoking permanently.
Nur Ilmayasinta, Heri Purnawan
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Mathematical Modeling and Optimal Control of Complex Epidemiological Networks [PDF]
, 2021 An optimal strategy for controlling the dynamics of a multi-scale complex network of epidemiological models is investigated. We focus on the chikungunya epidemic and consider the spreading of the disease within an indigenous urban region contaminated after the transmission of the virus to the local vectorial fauna by a single human individual.
Cantin, Guillaume, Verdière, Nathalie
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Mathematical model of COVID-19 in Nigeria with optimal control
Results in Physics, 2021 The novel Coronavirus Disease 2019 (COVID-19) is a highly infectious disease caused by a new strain of severe acute respiratory syndrome of coronavirus 2 (SARS-CoV-2). In this work, we proposed a mathematical model of COVID-19. We carried out the qualitative analysis along with an epidemic indicator which is the basic reproduction number ( R 0 ...
Adesoye Idowu Abioye +6 more
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Mathematical modeling and optimal control of the COVID-19 dynamics
Results in Physics, 2021 We are considering a new COVID-19 model with an optimal control analysis when vaccination is present. Firstly, we formulate the vaccine-free model and present the associated mathematical results involved. Stability results for R 0 < 1 are shown. In addition, we frame the model with the vaccination class. We look at the mathematical results with the
M. Higazy +6 more
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Optimal Control Analysis of a Mathematical Model for Breast Cancer [PDF]
Mathematical and Computational Applications, 2018 In this paper, a mathematical model of breast cancer governed by a system of ordinary differential equations in the presence of chemotherapy treatment and ketogenic diet is discussed. Several comprehensive mathematical analysis was carried out using varieties of analytical methods to study the stability of the breast cancer model.
Segun Oke, Maba Matadi, Sibusiso Xulu
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Optimal control for a mathematical model for chemotherapy with pharmacometrics [PDF]
Mathematical Modelling of Natural Phenomena, 2020 An optimal control problem for an abstract mathematical model for cancer chemotherapy is considered. The dynamics is for a single drug and includes pharmacodynamic (PD) and pharmacokinetic (PK) models. The aim is to point out qualitative changes in the structures of optimal controls that occur as these pharmacometric models are varied. This concerns (i)
Urszula Ledzewicz +3 more
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Optimal Strategies for Control of COVID-19: A Mathematical Perspective [PDF]
Scientifica, 2020 A deterministic ordinary differential equation model for SARS-CoV-2 is developed and analysed, taking into account the role of exposed, mildly symptomatic, and severely symptomatic persons in the spread of the disease. It is shown that in the absence of infective immigrants, the model has a locally asymptotically stable disease-free equilibrium ...
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How to mathematically optimize drug regimens using optimal control [PDF]
Journal of Pharmacokinetics and Pharmacodynamics, 2018 This article gives an overview of a technique called optimal control, which is used to optimize real-world quantities represented by mathematical models. I include background information about the historical development of the technique and applications in a variety of fields.
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