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Downloads
Views
Date
Relevance
Modeling Scenario
209
views
155
downloads
0
comments
6-018-ExploringSIRModel-ModelingScenario
Students will transform, solve, and interpret Susceptible Infected Recovered (SIR) models using systems of differential equation models. The project is progressively divided into three parts to understand, to apply, and to develop SIR models.
population dynamics
sensitivity
disease
SIR models
epidemic
rumors
Potential Scenario
106
views
34
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
142
views
61
downloads
0
comments
2011-Nakul-Chitnis-Introduction to Mathematical Epidemiology - Deterministic Compartmental Model
Deterministic compartmental models form the simplest models in the mathematical study of infectious disease dynamics. They assume that a population is homogenous (all people are the same) and the only distinction is in their disease state.
sensitivity
disease
infection
threshold
compartment
bifrucation
Potential Scenario
152
views
43
downloads
0
comments
2002-Nelson-Perelson-Mathematical analysis of delay differential equations models of HIV-1 infection
We develop and analyze a set of models that include intracellular delays, combination antiretroviral therapy, and the dynamics of both infected and uninfected T cells.
infection
HIV
T cells
Potential Scenario
112
views
46
downloads
0
comments
1981-Nielsen-Rosenfeld-Substantive Interpretations of Differential Equation Models
The use of differential equations models to study social processes has been increasing rapidly. There are, however, ambiguities in the interpretation of the parameters of these models.
sociology
politics
intragenerational mobility
political mobility
Article or Presentation
135
views
61
downloads
0
comments
2015-European_Bioinformatics_Institute-Bio-Models-Database
Bio Models Database is a repository of computational models of biological processes. Models described from literature are manually curated and enriched with cross-references. All models are provided in the Public Domain.
biology
database
bioinformatics
Models
computational models
Potential Scenario
120
views
65
downloads
0
comments
2015-The European Bioinformatics Institute-BioModels Database
BioModels Database is a repository of computational models of biological processes. Models described from literature are manually curated and enriched with cross-references.
computational biology
BioModels Database
bio database
life science experiments
Potential Scenario
121
views
41
downloads
0
comments
2004-Ledzewicz-Schattler-Application of Control Theory in Modelling Cancer Chemotherapy
In this paper we discuss how to incorporate more realistic medical aspects of chemotherapy which hitherto have been neglected in the models.
optimal control
drug resistance
pharmacokinetics
pharmacodynamics
chemotherapy
Potential Scenario
145
views
48
downloads
0
comments
2014-Allen-EtAl-Perturbations in Epidemiological Models -When zombies attack we can survive
In this paper, we investigate the existence of stability-changing bifurcations in epidemiological models used to study the spread of zombiism through a human population.
epidemiology
dynamical systems
zombies
bifurcation
perturbation
Potential Scenario
182
views
37
downloads
0
comments
2012-Michael_Kerckhove-From Population Dynamics to Partial Differential Equations
This article illustrates PDE models for location-dependent carrying capacities, migrations, and the dispersion of a population.
population dynamics
logistic equation
location-dependent carrying capacities
Potential Scenario
193
views
86
downloads
0
comments
2005-JC_Sprott-Dynamical Models of Happiness
A sequence of models for the time evolution of one’s happiness in response to external events is described.
happiness
oscillation
Article or Presentation
142
views
37
downloads
0
comments
2011-Brian_Winkel-Parameter_Estimates_in_Differential_Equation_Models_for_Population_Growth
We estimate the parameters present in several differential equation models of population growth, specifically single species exponential and logistic growth, and multiple species competition and predation models.
population model
parameter estimation
population
parameter
Potential Scenario
127
views
41
downloads
0
comments
2018-Yu-Craciun-Mathematical_Analysis_of_Chemical_Reaction_Systems
These models of chemical reactions are systems of coupled nonlinear differential equations on the positive orthant.
biochemical
kinetics
reaction
reaction network
mass action
Potential Scenario
129
views
59
downloads
0
comments
2017-Anders_Kallen-Single species models in continuous time
Part of a series of Lecture notes this lecture contains rich materials on logistic harvest models, spruce budworms, and chemostat.
chemostat
logistic
harvest
spruce budworm
Potential Scenario
84
views
35
downloads
0
comments
2005-HP-Hirst-Using the Historical Development of Predator-Prey Models to Teach Mathematical Modeling
Using the Historical Development of Predator-Prey Models to Teach Mathematical Modeling.
predator-prey
history
Potential Scenario
140
views
81
downloads
0
comments
2015-Lorelei-Koss-Differential Equations In Art and Film
This paper investigates how differential equations models have been used to study works in literature, poetry and film.
literature
art
film
poetry
religion
mythology
Potential Scenario
154
views
42
downloads
0
comments
2000-Armson-Cockroft-Stone-Modelling a barnacle goose population
This paper explores a number of models for the growth of a barnacle goose population. These geese spend their summers breeding in Spitsbergen and then winter in Caerlaverock on the Solway Firth. The population growth is modelled using exponential...
population dynamics
exponential
logistic equation
Barnacle Geese
Potential Scenario
178
views
40
downloads
0
comments
1986-Istvan_Gyori-Connections between compartment systems pipes and integro-differential equations
In this paper we give the mathematical description of models in which the mass transport between compartments requires a given definite time or transit times are distributed according to given probability distribution functions.
physiology
pipeline
compartment
blood
circulation
integro-differential equation
Potential Scenario
183
views
42
downloads
0
comments
1999-Khorasheh-Ahmadi-Gerayeli-Application of Direct Search Optimization for Pharmacokinetic Parameter Estimation
For simple pharmacokinetic compartmental models, analytical solution to the governing differential equations provide a mean to evaluate the associated rate constants. Such methods, however, can not be used used for more complex multi-compartment...
sum of square errors
least squares
pharmacokinetics
lineteics
compartmental models
direct search
General Resource
161
views
40
downloads
0
comments
2003-Knorrenschild-Gross-Text Books on Mathematical Modeling in Biology
Text Books on Mathematical Modeling in Biology Compiled from the Internet by Michael Knorrenschild,
biology
Mathematical Biology
textbook
text
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