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Includes clear efforts on Issues
Modeling Scenario
25

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6-005-InsectColonySurvivalOpt-ModelingScenario
We present a system of nonlinear differential equations to model the control of energy flow into producing workers or reproducers in an insect colony, using a set of given parameters and a number of different energy functions.
optimization Optimal Control Theory insect colony optimal control natural resources Pointryagin's Maximum Principle control variable
Potential Scenario
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2020-Cline-EtAl-A Vision for Projects Across the Mathematics Curriculum
We describe a model that incorporates projects at all stages across the undergraduate mathematics curriculum. Finally, we provide samples of projects that we have used in selected courses.
projects technical writing interdisciplinary skills
Potential Scenario
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2023-TechShareNotes. Differential Equations Modeling
TechShareNotes is a web site with rich differential equation modeling html pages and this one is about mixing in one, two, and three tanks, with interesting questions and problems as well as excellent diagrams and explanations.
population dynamics predator-prey circuit reaction spring mass pharmacokinetics cooling
Potential Scenario
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2018-Meredith_Greer-Ella_Livesay-Mathematical Epidemiology Goes to College
In this article we present models that were inspired by two real-life outbreaks at a small residential college campus: H1N1 influenza in 2009 and, surprisingly, mumps in 2016.
epidemiology disease H1N1 Influenza outbreak
Potential Scenario
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2018-LA_Peletier-Ordinary Differential Equations in Pharmacodynamics
Good mix of theory, application, solution technique in a number of areas of applications of differential equations. Develops qualitative behavior issues. Exercises, but not about models, more about the mathematics only.
compartment model pharmacokinetics pharmacodynamics orbits turnover
Potential Scenario
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2018-Joseph-EtAl-A Nonlinear differential equation model of Asthma effect of environmental pollution using LHAM
In this paper, we investigated a nonlinear differential equation mathematical model to study the spread of asthma in the environmental pollutants from industry and mainly from tobacco smoke from smokers in different type of population.
asthma tobacco smoke Liaoâ€™s Homotopy analysis Method ( environmental pollutants
Potential Scenario
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2018-David_Bourne-Pharmacokinetics â€“ Source Material
This is a rich source of pharmacokinetics modeling activities and data. These are syllabus notes with homework assignments listed.
bolus pharmacokinetics pharmacodynamic drug distribution
Potential Scenario
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2018-Arden_Baxter-Modeling Public Opinion
In this paper, we adapt the epidemiological models to model the dynamics of public opinion. Public opinion is any view prevalent among the general public. Our model considers any topic or issue in which the public has two decisive and opposing...
epidemiology population public opinion
Potential Scenario
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2018-Akman-EtAl-Parameter Estimation in Ordinary Differential Equations Modeling via Particle Swarm Optimization
We demonstrate Particle Swarm Optimization efficacy by showing that it outstrips evolutionary computing methods previously used to analyze an epidemic model.
epidemic Particle Swarm Optimization optimize parameters
Potential Scenario
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We consider the inverse problem of parameter identification of nonlinear system of ODEs for a specific case of complete information about solution of the Holling-Tanner model for finite number of points for the finite time interval.
goal function absolute error curves invers method holling-Tanner model
Potential Scenario
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2017-William_Bialek-Boxes and Arrows To Differential Equations
This material uses pictures to build kinetic models of reactions and then offers analytic solutions.
Michaelis-Menten Enzyme substrate DNA\kinetis
Potential Scenario
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2017-Suebcharoen-Analysis of a Predator-Prey Model with Switching and Stage-Structure for Predator
This paper studies the behavior of a predator-prey model with switching and stage-structure for predator.
stage structure predator prey bifurcation switching
Potential Scenario
25

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2017-Lia_Vas-Modeling With Differential Equations
This is a set of class notes for Lia Vas in which examples from population, falling objects, tank mixing, growth and threshold, are offered.
thresholds falling object growth tank mixing
Potential Scenario
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2017-Justin_Krueger-Parameter Estimation Methods for Ordinary Differential Equation Models with Applications to Microbiology
We demonstrate the feasibility of principal differential analysis using simulation studies and then apply the method to intestinal and vaginal microbiota data.
microbiology Lotka Volterrra microbiota
Potential Scenario
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