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Relevance
Potential Scenario
177
views
61
downloads
0
comments
2011-Nancy_Rodrıguez-Applied Partial Differential Equations in Crime Modeling and Biological Aggregation
In the first part we study a fully-parabolic system of PDEs for residential burglary ‘hotspots’ (spatio-temporal areas of high density of crime). In this work we are concerned with the existence and uniqueness of solutions of this model. In
biology
Diffusion
Keller-Segel model
chemotaxis
crime
Potential Scenario
211
views
51
downloads
0
comments
2004-Mitchell-von Meien-Krieger-Dalsenter-A review of recent developments in modeling of microbial growth kinetics
Mathematical models are important tools for optimizing the design and operation of solid-state fermentation (SSF) bioreactors. Such models must describe the kinetics of microbial growth.
Filamentous Fungi
solid-state fermentation
growth kinetics
diffusion-reaction
oxygen transfer
Potential Scenario
167
views
93
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
1201
views
1270
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
Potential Scenario
213
views
43
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
Modeling Scenario
366
views
324
downloads
0
comments
9-005-InvasiveSpeciesModel-ModelingScenario
This scenario takes students through the development of an invasive species partial differential equation model. Basic models are discussed first, which lead students to eventually develop their own model which takes into account dispersion.
Invasive Species
logistic
migration
traveling waves
dispersion
Potential Scenario
174
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
General Resource
201
views
47
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
Potential Scenario
121
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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