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Ordinary Differential Equations and Applied Dynamics Commons™
Open Access. Powered by Scholars. Published by Universities.®
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- Differential Equations (2)
- 34K60 (1)
- 60E05 (1)
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- Antiretroviral Therapy (1)
- Bass competition model (1)
- Bass diffusion model (1)
- Direct differential method (1)
- Fibonacci Numbers (1)
- Fibonacci Spirals (1)
- Fish population dynamics (1)
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- Immune System Dynamics Under HIV Infection (1)
- Local and global sensitivity analysis (1)
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- Probability distributions: general theory (1)
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- Qualitative investigation and simulation of models involving functional-differential equations (1)
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- Spearman correlation coefficient (1)
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Articles 1 - 5 of 5
Full-Text Articles in Ordinary Differential Equations and Applied Dynamics
Analyzing A Smartphone Battle Using Bass Competition Model, Maila Hallare, Alireza Hosseinkhan, Hasala Senpathy K. Gallolu Kankanamalage
Analyzing A Smartphone Battle Using Bass Competition Model, Maila Hallare, Alireza Hosseinkhan, Hasala Senpathy K. Gallolu Kankanamalage
CODEE Journal
Many examples of 2x2 nonlinear systems in a first-course in ODE or a mathematical modeling class come from physics or biology. We present an example that comes from the business or management sciences, namely, the Bass diffusion model. We believe that students will appreciate this model because it does not require a lot of background material and it is used to analyze sales data and serve as a guide in pricing decisions for a single product. In this project, we create a 2x2 ODE system that is inspired by the Bass diffusion model; we call the resulting system the Bass …
Fibonacci Differential Equation And Associated Spiral Curves, Mehmet Pakdemirli
Fibonacci Differential Equation And Associated Spiral Curves, Mehmet Pakdemirli
CODEE Journal
The Fibonacci differential equation is defined with analogy from the Fibonacci difference equation. The linear second order differential equation is solved for suitable initial conditions. The solutions constitute spirals in the polar coordinates. The properties of the spirals with respect to the Fibonacci numbers and the differences between the new spirals and classical spirals are discussed.
Exploring Parameter Sensitivity Analysis In Mathematical Modeling With Ordinary Differential Equations, Viktoria Savatorova
Exploring Parameter Sensitivity Analysis In Mathematical Modeling With Ordinary Differential Equations, Viktoria Savatorova
CODEE Journal
This paper presents an exploration into parameter sensitivity analysis in mathematical modeling using ordinary differential equations (ODEs). Taking the first steps in understanding local sensitivity analysis through the direct differential method and global sensitivity analysis using metrics like Pearson, Spearman, PRCC, and Sobol’, we provide readers with a basic understanding of parameter sensitivity analysis for mathematical modeling using ODEs. As an illustrative application, the system of differential equations modeling population dynamics of several fish species with harvest considerations is utilized. The results of employing local and global sensitivity analysis are compared, shedding light on the strengths and limitations of each …
Modeling Immune System Dynamics During Hiv Infection And Treatment With Differential Equations, Nicole Rychagov
Modeling Immune System Dynamics During Hiv Infection And Treatment With Differential Equations, Nicole Rychagov
CODEE Journal
An inquiry-based project that discusses immune system dynamics during HIV infection using differential equations is presented. The complex interactions between healthy T-cells, latently infected T-cells, actively infected T-cells, and the HIV virus are modeled using four nonlinear differential equations. The model is adapted to simulate long term HIV dynamics, including the AIDS state, and is used to simulate the long term effects of the traditional antiretroviral therapy (ART). The model is also used to test viral rebound over time of combined application of ART and a new drug that blocks the reactivation of the viral genome in the infected cells …
Multilayer Network Model Of Gender Bias And Homophily In Hierarchical Structures, Emerson Mcmullen
Multilayer Network Model Of Gender Bias And Homophily In Hierarchical Structures, Emerson Mcmullen
HMC Senior Theses
Although women have made progress in entering positions in academia and
industry, they are still underrepresented at the highest levels of leadership.
Two factors that may contribute to this leaky pipeline are gender bias,
the tendency to treat individuals differently based on the person’s gender
identity, and homophily, the tendency of people to want to be around those
who are similar to themselves. Here, we present a multilayer network model
of gender representation in professional hierarchies that incorporates these
two factors. This model builds on previous work by Clifton et al. (2019), but
the multilayer network framework allows us to …