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    1-030-RandomPerturbation-TechniqueNarrative
    After a brief historical view of this problem, we will demonstrate the derivation of first order linear differential equations with random perturbations.

    Keywords: random perturbationBrownian motionLangevin equationRiemann-Steiltjes integralWiener processIto's calculus

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    1-060-RegularPerturbation-TechniqueNarrative
    This paper presents an introduction to a set of analytical approximations referred to as regular perturbation. This is a particular mathematical tool within the broader set of perturbation...

    Keywords: perturbationregular perturbationasymptotic expansionsanalytical approximationBernoulli equation

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    1-061-SingularPerturbation-TechniqueNarrative
    This paper introduces the basics of singular perturbation methods for solving ordinary differential equations. Interactive examples will show how the smallness of physical parameters can...

    Keywords: perturbationsingular perturbation

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    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.

    Keywords: epidemiologydynamical systemszombiesbifurcationperturbation

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    Java array and random number generator, hints
    Java, UTC, Fall 2017

    Keywords: videosjavabioinformaticsgenomicsyoutuberandom number generator

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    Introduction to Probability, Statistics, and Random Processes
    This site is the homepage of the textbook Introduction to Probability, Statistics, and Random Processes by Hossein Pishro-Nik.

    Keywords: textbookcurriculumcourseproblem setsolutions

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    Exploring Random Mutation and Selection: Avida-Ed Lab Book Exercise 2
    An introductory activity exploring the role of random mutation in natural selection using the Avida-ED simulation.

    Keywords: avida-edmutationsoftware simulationsSelectionvariation

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    Island Biogeography
    The students will practice the basic code to test MacArthur and Wilson’s (1967) Island Biogeography model, focusing on how island size, distance, and perturbation affect species numbers.
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    GeoPhyl
    This Excel workbook allows students to explore evolution over space and time using published data on the invasive plant Tamarix (salt cedar).

    Keywords: Invasive SpeciesTamarixsalt cedarpermutation testrandom geographic distribution

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    Integrating Community Ecology Into the Study of Parasites: Exploring the Effect of Host Behavior on Parasite Transmission Rates
    Organismal life cycles are often presented as a set of facts to memorize in undergraduate biology courses. This approach is cognitively demanding for students and fails to convey how central life...

    Keywords: statisticsspecies interactionsQuantitative reasoninggraphsCommunity EcologyParasitologyfood webs

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    Harnessing the Power of the Immune System: Influenza Vaccines
    Because most people have been infected by and/or immunized against influenza, students should know how the immune system responds to the infection and how vaccines protect against disease. Vaccines...

    Keywords: VaccinesInfluenzaImmunizationVaccine efficacy

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    2015-Carl_Lutzer-Using Expected Value to Introduce the Laplace Transform
    We propose an introduction to the Laplace transform in which Riemann sums are used to approximate the expected net change in a function, assuming that it quantifies a process that can terminate at...

    Keywords: Expected ValueRiemann sumnet change

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    Exploring the Introduction of Genetic Variation by Random Mutation: Avida-Ed Lab Book Exercise 1
    An introductory activity introducing the role of random mutation in generating genetic variation using the Avida-ED simulation.

    Keywords: geneticsEvolutionavida-edmutationsoftware simulations

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    2010-Shianga-EtAl-Computational model of the human glucose-insulin regulatory system
    A computational model of insulin secretion and glucose metabolism for assisting the diagnosis of diabetes mellitus in clinical research is introduced. The

    Keywords: glucose tolerance testsum of squared residualsmultiple shooting methodcost function

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    Phylogeography Simulator
    This Excel workbook simulates the phylogeography of an asexually reproducing species.

    Keywords: Phylogeographymutation ratesAsexual reproductionspecies dispersal

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    Genetic Code
    This Excel workbook allows the user to recreate the steps in breaking the genetic code. The user enters the sequence of repetitive synthetic mRNA strands, which are translated in vitro to produce...

    Keywords: mRNAgenetic code

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    EvolSeq
    An Excel worksheet that simulates the molecular evolution of DNA sequences.

    Keywords: molecular evolutionDNA

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    1-027-StochasticProcesses-ModelingScenario
    We build the infinite set of first order differential equations for modeling a stochastic process, the so-called birth and death equations. We will only need to use integrating factor solution...

    Keywords: VarianceMeanstochasticrandomoperations researchindustrial engineeringPoisson processtraffic

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    1-046-GoingViral-ModelingScenario
    Students participate in a simulation of the spread of a viral disease in the classroom and model the process with a logistic differential equation. The simulation uses random numbers and the entire...

    Keywords: simulationmathematical modeldatalogisticrandom number generatorfittingrandom process

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    An Introduction to the R Programming Environment
    An online module introducing students and biologists to R, published in American Phytopathological Society

    Keywords: epidemiologyRecologyR programming languagebioinformaticsprogrammingplant biologyNIBLSEplant pathology

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