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Views
Date
Relevance
Potential Scenario
158
views
37
downloads
0
comments
2010-Kijek-Kijek-Modelling of Innovation Diffusion
This paper offers a first order differential equation model for innovation diffusion, solves it, and offers qualitative analysis as well as approaches to estimating parameters with some data on final parameters for various countries.
Bass model
innovation diffusion
Logistic model
dynamic model
Potential Scenario
169
views
94
downloads
0
comments
2014-Rogert_Smith-Mathematical Modeling of Zombies
Here, we use diffusion to model the zombie population shuffling randomly over a one-dimensional domain.
kinetics
Zombie
zombification
interaction times
Modeling Scenario
1208
views
1273
downloads
0
comments
1-070-FisheryHarvest-ModelingScenario
Students model with logistic growth, harvesting, and diffusion in analyzing ocean fisheries of the Atlantic cod. We help students build models, ever more complex, to capture physical realities. At each stage we ask students to reflect on the model.
logistic
Diffusion
management
harvest
fishery
Modeling Scenario
349
views
343
downloads
0
comments
1-022-SpreadOfTechnologies-ModelingScenario
We examine plots on the spread of technologies and ask students to estimate and extract data from the plots and then model several of these spread of technologies phenomena with a logistic differential equation model.
data analysis
technology
logistic
spread
innovation
Modeling Scenario
304
views
421
downloads
0
comments
1-165-FlushToilet-ModelingScenario
This activity analyzes the spread of a technological innovation using the Bass Model from Economics. The equation is a first-order, two-parameter separable equation and the solution has a characteristic S-shaped curve or sigmoid curve.
julia
Diffusion
innovation
rate of innovation
Bass model
Solver
Potential Scenario
179
views
45
downloads
0
comments
2017-Helen-Byrne-Further Mathematics Biology
These studies will be in the context of ecological, biological and biochemical applications.
epidemics
chemotaxis
enzyme-substrate
ion channels
nerve pulses
gene proagation
tumour
Modeling Scenario
251
views
244
downloads
0
comments
1-060-SalesMarketing-ModelingScenario
We lead students through a sales forecasting model based on marketing principles first espoused by F. M. Bass with definitions, assumptions, equations, and data on sales over 15 year periods against which models may be tested.
marketing
Bass model
sales
consumer products
innovators
imitators
Potential Scenario
122
views
52
downloads
0
comments
2007-Bellomo-De_Angelis-Delitala-Lecture Notes on Mathematical Modelling in Applied Sciences
The Lectures Notes correspond to the first part of the course devoted to modelling issues to show how the application of models to describe real world phenomena generates mathematical problems to be solved by appropriate mathematical methods.
spring mass
Legendre polynomials
integro-differential equations
kinetic theory
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