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Views
Date
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Potential Scenario
154
views
48
downloads
0
comments
2019-Zhu_EtAl-Partial_differential_equation_modeling_of_rumor_propagation
This paper defines a spatial distance in online social networks by clustering and then proposes a partial differential equation model with a time delay.
social networks
rumor
propogation
Free Online Textbook
142
views
66
downloads
0
comments
2015-H_Sayama-Intro to Modeling and Analysis of Complex Systems
Introduces students to mathematical/computational modeling and analysis developed in the emerging interdisciplinary field of Complex Systems Science.
textbook
text
Potential Scenario
134
views
47
downloads
0
comments
2019-Banuelos_Danet_Flores_Ramos-Epidemiological_Math_Model_Approach_To_Political_System_with_Three_Parties
A nonlinear compartmental model is derived to study the movement between classes of voters with the assumption of a constant population that is homogeneously mixed.
politics
parameters
voting
compartment model
epidemiological model
equilibria
three-party system
Modeling Scenario
290
views
126
downloads
0
comments
6-009-FakeNews-ModelingScenario
In modern society, creating and disseminating information is easier than ever. In this project, you will model the spread of fake news and investigate ways to deter distributing misinformation.
sensitivity analysis
SIR models
SIS model
fake news
Modeling Scenario
285
views
191
downloads
0
comments
1-136-MarriageAge-ModelingScenario
Students will build and analyze a model of the fraction of people who are married (for the first time) by a certain age. Students are asked to set up and solve these differential equations. They are then expected to analyze the behavior of these...
messages
marriage
using social sciences in forecasting
directed
Potential Scenario
126
views
48
downloads
0
comments
2012-Arvind_Kumar_Misra-A simple mathematical model for the spread of two political parties
In this paper, a non-linear mathematical model for the spread of two political parties has been proposed and analyzed by using epidemiological approach.
epidemic
compartment
political parties
Potential Scenario
171
views
54
downloads
0
comments
1988-Michael Intriligator-Dagobert Brito-A Predator-Prey Model of Guerrilla Warfare
The authors present a three variable: numbers of guerrillas, numbers of regular (government) soldiers, and size of population controlled by the guerrillas, at time t), nonlinear system of three differential equations.
combat model
guerrilla warfare
government
Modeling Scenario
509
views
178
downloads
0
comments
1-087-ThanosPopulationDynamics-ModelingScenario
In the end of the “Avengers Infinity War,” the villain Thanos snaps his fingers and turns half of all living creatures to dust with the hope of restoring balance to the natural world. How does this affect the long term behavior of various species?
logistic
exponential
population
Thanos
Modeling Scenario
300
views
133
downloads
0
comments
1-118-SolowEconomicGrowth-ModelingScenario
Students construct and analyze the celebrated Solow-Swan model of economic growth theory. The project is divided into three sequential parts to teach students to understand, develop, and analyze a simple nonlinear model of economic dynamics.
optimization
economics
steady state
growth
Solow-Swan model
capital
production
labor
Golden Rule of Economic Growth
General Resource
1053
views
139
downloads
0
comments
Instructor Solutions Second Edition SIMIODE Textbook HTML Version
This is material we make available for instructors teaching a modeling-first approach to differential equations when using the Second Edition of SIMIODE Textbook, Differential Equations: A Toolbox for Modeling the Real World in HTML Version.
textbook
html
SIMIODE textbook
Second Edition
Modeling Scenario
227
views
184
downloads
0
comments
1-125-DiceyPopulation-ModelingScenario
We offer students an opportunity to generate data for their team on a death and immigration model using 12 and 20 sided dice and then pass on the data to another student team for analysis with a model they built. The key is to recover the...
simulation
immigration
death
dice
Modeling Scenario
364
views
162
downloads
0
comments
1-001d-HotelPopulationDecay-ModelingScenario
You will be modeling the following situation: 100 people are in a hotel. Each day, each person has a random chance of 50% of leaving the hotel. No new people enter the hotel. Before you run the simulation in MATLAB, answer some questions.
simulation
logistic
exponential decay
fitting
Modeling Scenario
391
views
265
downloads
0
comments
5-076-LanchesterLaws-ModelingScenario
Lanchester's laws are used to calculate the relative strengths of military forces. The Lanchester equations are differential equations describing the time dependence of two armies' strengths A and B as a function of time,
Lanchester's laws
sensitivity analysisanalysis
Potential Scenario
275
views
83
downloads
0
comments
2009-Munz-EtAl-When Zombies Attack-Mathematical modelling of an Outbreak of Zombie Infection
We introduce a basic model for zombie infection, determine equilibria and their stability, and illustrate the outcome with numerical solutions.
zombies
infection
epidemic
water treatment
latent infection
quarantine
impulsive eradication
Potential Scenario
144
views
81
downloads
0
comments
2002-Dietz-Heesterbeek-Daniel Bernoulli-epidemiological model revisited
The seminal paper by Daniel Bernoulli published in 1766 is put into a new perspective. After a short account of smallpox inoculation and of Bernoulli’s life, the motivation for that paper and its impact are described.
life table
epidemic
smallpox
Daniel Bernoulli
competing risk
inoculation
Modeling Scenario
326
views
151
downloads
0
comments
1-001c-PopulationDecayThenSome-ModelingScenario
You will be modeling the following situation: 100 people are in a hotel. Each day, each person has a random chance of 50% of leaving the hotel. No new people enter the hotel.
simulation
occupancy
population
hotel
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