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
    2006-TK_Kar-Controllability and optimal harvesting of a prey–predator model incorporating a prey refuge
    This paper deals with a prey–predator model incorporating a prey refuge and harvesting of the predator species.

    Keywords: survivalpredator-preyharvestrefugePontryagin’s maximal principlehidingoptimal harvest

    174

    views

    54

    downloads

    0

    comments

    0

    adaptations

    1-068-WaterBottleCooling-ModelingScenario
    Students create of a differential equation describing how fluid in a water bottle will change its temperature to approach the ambient temperature in a room.

    Keywords: bNewton's Law of Coolingwater bottleautonomousbottle

    220

    views

    140

    downloads

    0

    comments

    0

    adaptations

    1-091-InvestigatingSlopeFields-ModelingScenario
    Students will gain experience writing differential equations to model various population scenarios, they will create slope fields to view the solution curves using software, and they will discuss...

    Keywords: slope fieldspopulation

    229

    views

    403

    downloads

    0

    comments

    0

    adaptations

    3-031-SpringCost-ModelingScenario
    We assume students are familiar with overdamping and underdamping of a spring-mass-dashpot system. Students will apply this knowledge to model the interplay between spring constant, tolerance, and...

    Keywords: designunit costspring constantstatic equilibriumspring masss dashpot

    205

    views

    155

    downloads

    0

    comments

    0

    adaptations

    Gibb’s Free Energy and the Nature of Chemical Reactions
    This module introduces Gibb’s Free Energy in the context of understanding the nature of chemical reactions. It is intended for an introductory biology audience.

    Keywords: ExponentsLogarithmsRatiosexponential equationsSequencesCell StructureOpenStaxCell Growthgeometric equations

    1045

    views

    532

    downloads

    0

    comments

    0

    adaptations

    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.

    Keywords: zombiesinfectionepidemicwater treatmentlatent infectionquarantineimpulsive eradication

    214

    views

    64

    downloads

    0

    comments

    0

    adaptations

    2019-Fan_ Li_ Yin- Impact_of_environmental_tax_on_green_development-nonlinear_dynamical_system_analysis
    This study analyzes the impact of environmental tax on green development by using a four-dimension dynamical system.

    Keywords: environmentsystemequilibrium pointmodel chaoseconomic growthnonlinear

    148

    views

    55

    downloads

    0

    comments

    0

    adaptations

    5-040-TunedMassDampers-PartII-ModelingScenario
    Studentsbuild mathematical models to mitigate dangerous swaying in structures using structural improvements called Tuned Mass Dampers (TMD). We model the motion of the original structure as a...

    Keywords: structureresistancespring-mass-dashpotearthquakevibrationcontroldampingtuned mass damperstiffnessreduction of vibration

    298

    views

    339

    downloads

    0

    comments

    0

    adaptations

    1993-Paul_Blanchard-Teaching Differential Equations With a Dynamical Systems Viewpoint
    This is an early discourse on the dynamical system view point of teaching differential equations with a number of rich illustrations.

    Keywords: dynamical systems

    471

    views

    43

    downloads

    0

    comments

    0

    adaptations

    1935 GFGause Article Predator Prey Oscillations
    N/A

    Keywords: Lotka-Volterrapredatorparameciumpreycycleoscillate

    145

    views

    53

    downloads

    0

    comments

    0

    adaptations

    6-022-CannibalismPredatorPrey-ModelingScenario
    The Lotka-Volterra model tells us that the prey and predator exhibit a shifted cyclic behavior over time. In this module, we look at modifying this prey-predator model to consider the case when...

    Keywords: stabilitypredator-preyequilibriaoscillationscannibalismphase planesspiral sinks

    343

    views

    517

    downloads

    0

    comments

    0

    adaptations

    2017-Suebcharoen-Analysis of a Predator-Prey Model with Switching and Stage-Structure for Predator
    This paper studies the behavior of a predator-prey model with switching and stage-structure for predator.

    Keywords: stage structurepredatorpreybifurcationswitching

    274

    views

    63

    downloads

    0

    comments

    0

    adaptations

    2006-Shigui_Ruan-Delay differential equations in single species dynamics
    In this survey, we shall review various delay differential equations models arising from studying single species dynamics.

    Keywords: allee_effectdelayed biological systemsfood limitperiodiciityrecruitment modelRegulation of Haematopoiesis

    113

    views

    66

    downloads

    0

    comments

    0

    adaptations

    3-140-TwoSpringsOneMassFixedEnds-ModelingScenario
    Students build a model of a two spring, single mass with fixed end configuration and then plot solutions to experience the motion.

    Keywords: massundampedFree Body Diagramspringstwo springsoscillationspring constantfixed ends

    198

    views

    138

    downloads

    0

    comments

    0

    adaptations

    Draft Version: Energy Balance Models
    This module introduces the student to the process of mathematical modeling.

    Keywords: modulemathematical modelingbenergy balanceclimate modelDIMACSResources @ DIMACSclimatein-class activityResources @ QUBES - Teaching & Referencescienceexperiment

    1378

    views

    267

    downloads

    0

    comments

    0

    adaptations

    2015-Sebesyen-Farago-Invasive Species Model with Linear Rat Harvesting on Easter Island
    In this paper we suggest a natural modification of this model. Namely, we will investigate the case where the amount of the rats is decreased due to some external factor, e.g., exterminations by...

    Keywords: carrying capacityharvestEaster Islandinvasie especiesratsRoughgarden theorem.

    138

    views

    70

    downloads

    0

    comments

    0

    adaptations

    2010-Kar-Chakraborty-Bioeconomic_modelling_of_a_prey_predator_system_using_differential_algebraic_equations
    We propose a biological economic model based on prey-predator dynamics where the prey species are continuously harvested and predation is considered with type II functional response.

    Keywords: economicsbifurcationharvestfisheryequilibriumdifferential algebraic equation

    154

    views

    37

    downloads

    0

    comments

    0

    adaptations

    2014-Michael_Monagan-The Mortgage Payment Problem Approximating a Discrete Process with a Differential Equation
    In this article and a subsequent article I will give two non-standard examples that I've found helpful. The one presented here is a first order linear system. Second order systems and non-linear...

    Keywords: compartmentheatinghouse

    145

    views

    67

    downloads

    0

    comments

    0

    adaptations

    2014-Hrydziuszko-EtAl-Mathematical Two-compartment Model of Human Cholesterol Transport
    We develop a two-compartment mathematical model to investigate cholesterol transport in the circulatory system and its de novo synthesis in the liver.

    Keywords: metabolic syndromecompartmentcholesteroltwo-compartment modelcholesterol transport

    129

    views

    76

    downloads

    0

    comments

    0

    adaptations

    2009-Schaffer-Bronnikova-Controlling malaria
    The present paper reviews potential control strategies from the viewpoint of mathematical epidemiology.

    Keywords: epidemiologymalariabifurcationmosquitotransgenic mosquitoes

    212

    views

    49

    downloads

    0

    comments

    0

    adaptations

    Close

    Home

    Search