You are here: Home / Resources / Browse Resources

Open. Adaptable. Free.

Resources created by our members and partners.

The QUBES platform hosts hundreds of teaching materials, reference materials, and cloud-based software free to use and adapt using open Creative Commons licenses.

Text Search:
Applied Filters
    MathBench Population Dynamics Module Activity
    The resource accompanies the Mystery of the Missing Housefly Population Dynamics MathBench module which explores exponential and logistic growth models. Students explore the assumptions of the...
    1075

    views

    578

    downloads

    0

    comments

    0

    adaptations

    2017-Allali-EtAl-Mathematical Modeling of the Adaptive Immune Responses in the Early Stage of the HBV Infection
    The aim of this paper is to study the early stage of HBV infection and impact delay in the infection process on the adaptive immune response, which includes cytotoxic T-lymphocytes and antibodies.

    Keywords: logisticHBV infectionadaptive immunie responseT-lymphocytes

    107

    views

    61

    downloads

    0

    comments

    0

    adaptations

    2010-Shaza_Hussein-Predator-Prey Modeling
    The objective of this project was to create five projections of animal populations based on a simple predator-prey model and explore the trends visible.

    Keywords: population dynamicspredator-preylogistic equationEndangered Catsdecreasing populationrabbitsfoxes

    175

    views

    39

    downloads

    0

    comments

    0

    adaptations

    2014-Bozkurt-Peker-Mathematical modelling of HIV epidemic and stability analysis
    A nonlinear mathematical model of differential equations with piecewise constant arguments is proposed. This model is analyzed by using the theory of both differential and difference equations to...

    Keywords: diseaselogisticHIVpiecewise constantIndia

    163

    views

    46

    downloads

    0

    comments

    0

    adaptations

    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...

    Keywords: data analysistechnologylogisticspreadinnovation

    307

    views

    245

    downloads

    0

    comments

    0

    adaptations

    1-023-RumorSpread-ModelingScenario
    We use a newspaper report on the spread of a rumor based on shares of articles on the Internet over a 5 day period to demonstrate the value of modeling with the logistic differential equation.

    Keywords: Internetlogisticspreadrumors

    309

    views

    184

    downloads

    0

    comments

    0

    adaptations

    1-081-TumorGrowth-ModelingScenario
    Students will transform, solve, and interpret a tumor growth scenario using non-linear differential equation models. Two population growth models (Gompertz and logistic) are applied to model tumor...

    Keywords: logisticpopulationtumorGompertz

    210

    views

    225

    downloads

    0

    comments

    0

    adaptations

    1-102-CancerTumor-ModelingScenario
    This module guides students in the use of differential equation models to predict cancer growth and optimize treatment outcomes. Several classical models for cancer growth are studied, including ...

    Keywords: optimizationlogisticpredictiondata fittingpower lawGompertzcancer growtheponentialBertalanaffy

    310

    views

    239

    downloads

    0

    comments

    0

    adaptations

    1-102C-CancerGrowth-ModelingScenario
    This module guides students in the use of differential equation models to predict cancer growth and study treatment outcomes. Several classical models for cancer growth are presented including...

    Keywords: optimizationcancerlogisticexponentialpredictiontumorgrowthdata fittingpower lawBertanffyGompertz

    313

    views

    220

    downloads

    0

    comments

    0

    adaptations

    5-023-FakingGause-ModelingScenario
    We use a fake or toy data set to permit discovery of the parameters in a two population protozoan model used to study paramecium and yeast competition in the 1930's studies of G. F. Gause in the...

    Keywords: competitionlogisticyeastGauseparameciumpoplulation

    225

    views

    102

    downloads

    0

    comments

    0

    adaptations

    6-029-TumorGrowth-ModelingScenario
    This modeling scenario guides a student familiar with single ordinary differential equation (ODE) models towards the development of a more complex system of two ODEs for describing the evolution of...

    Keywords: Pop_Growth Pilotlogisticcomparmenttumorsynthetic datasum of squares error

    182

    views

    221

    downloads

    0

    comments

    0

    adaptations

    1-009-ICUSpread-ModelingScenario
    We offer students the opportunity to model the percentage of voluntary nonprofit hospitals in the United States with Intensive Care Units during the period of 1958-1974.

    Keywords: logisticsum of square errorsIntensive Care Unithospitalspread

    191

    views

    104

    downloads

    0

    comments

    0

    adaptations

    1-127-FishHarvesting-ModelingScenario
    We offer students a harvesting model for operating a fishery over a 25 year horizon and ask them to write a report on optimal harvesting policy with their analyses for fishing industry experts (not...

    Keywords: Management Of Dataoptimal controlfisherieslogisticharvestingmaximum sustainable yield

    256

    views

    177

    downloads

    0

    comments

    0

    adaptations

    Fitting Exponential and Logistic Growth Models to Bacterial Cell Count Data
    In this activity, students will model a noisy set of bacterial cell count data using both exponential and logistic growth models. For each model the students will plot the data (or a linear...

    Keywords: modelingdata analysislinear regressiongraphingExponentsoptimizationcalculusInterpreting GraphsFunctionsqbccCellular and Molecular BiologyChoosing modelsUnderstanding ratesConcepts in Statisticsmeasurementsmanipulating equationscreating graphsExponential and Logarithmic Functionsinterpreting tables

    1771

    views

    2234

    downloads

    1

    comments

    0

    adaptations

    Riverbird distributions and habitat use
    Riverbirds are widespread, use diverse riparian habitats, and respond rapidly to changing conditions. Students can apply riverbird data to evaluate hypotheses about these responses, while gaining...

    Keywords: logistic regressionHabitat selectionRiver Field Studies NetworkWaterfowl raptorkingfisherheronfocal speciesmonitorriverbank

    378

    views

    31

    downloads

    0

    comments

    0

    adaptations

    2017-Zhang-Wang-Study on public opinion propagation in self media age based on time delay differential model
    We establish the Logistic equation, introduce the operator time delay differential equation, and finally establish the improved delay differential equation, which can describe the propagation trend...

    Keywords: propagationpubic opinionNetwork public opinionpropagation lawself-mediaXiongan New Area

    116

    views

    62

    downloads

    0

    comments

    0

    adaptations

    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...

    Keywords: Bass modelinnovation diffusionLogistic modeldynamic model

    118

    views

    32

    downloads

    0

    comments

    0

    adaptations

    2010-Keesom-EtAl-Fishing for Answers Investigating Sustainable Harvesting Ra
    The purpose of this report is to determine and propose a model by which an optimal harvesting frequency can be determined to maintain a steady population of Alaskan salmon.

    Keywords: fisheriesEuler's methodnonlinearlogistic harvestingcanabalismsalmon

    114

    views

    41

    downloads

    0

    comments

    0

    adaptations

    2006-Juska-Gedminiene-Ivanec-Growth of Microbial Populations-Mathematical Modeling-Laboratory Exercises-Model-Based Data Analysis
    The aim is to teach the students to use a fresh approach to the problems they are familiar with, to come up with an articulate verbal model after a mental effort, to express it in rigorous...

    Keywords: population growth ratelogistic equationVerhulst equationgeneration timelag time

    228

    views

    39

    downloads

    0

    comments

    0

    adaptations

    1-009-Bifurcation-TechniqueNarrative
    We lead students to investigate first-order differential equations that contain unknown parameters. Students discover what happens to the qualitative behavior of solutions to these equations as...

    Keywords: bifurcationqualitative behaviorbifurcation diagram

    303

    views

    115

    downloads

    0

    comments

    0

    adaptations

    Close

    Home

    Search