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    2014-Do-Lee-A Differential Equation Model for the Dynamics of Youth Gambling
    We examine the dynamics of gambling among young people aged 16–24 years, how prevalence rates of at-risk gambling and problem gambling change as adolescents enter young adulthood, and prevention...

    Keywords: reproductive numberGamblingepidemicsensitivity indexyouth gambling

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    2017-Bonin-EtAl-Mathematical modeling based on ordinary differential equations - promising approach to vaccinology
    As a proof of concept, we developed a model of the immune response to vaccination against the yellow fever. Our simulations have shown consistent results when compared with experimental data...

    Keywords: immune systemyellow fevercomputational immunologycomputational vaccinology

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    2017-Biswasa-EtAl-Mathematical Modeling Applied to Sustainable Management of Marine Resources
    We study a nonlinear mathematical model of fishery management to understand dynamics of a fishery resource system in an aquatic environment that consists of two zones; one free fishing zone and...

    Keywords: natural resourcesmarine resourcesfishery model

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    2017-Agmour-EtAl-Optimization of the Two Fishermen's Profits Exploiting Three Competing Species Where Prices Depend on Harvest
    The main purpose of this work is to define the fishing effort that maximizes the profit of each fisherman, but all of them have to respect two constraints: the first one is the sustainable...

    Keywords: FishingharvestNash equilibriumoptimizeprofits

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    2016-Bonin-EtAl-Mathematical modeling based on ordinary differential equations-vaccinology
    We developed a model of the immune response to vaccination against the yellow fever. Our simulations have shown consistent results when compared with experimental data available in the literature.

    Keywords: Immunologyimmune systemAntigenvaccinologyyellow fever

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    2016-Banks-EtAl-Modeling Bumble Bee Population Dynamics with Delay Differential Equations
    To provide a tool for projecting and testing sensitivity of growth of populations under contrasting and combined pressures, we propose a delay differential equation model that describes...

    Keywords: population modelReproductionspline approximationsBombus terrestrisneonicotinoidsbumble bee

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    2015-Zhang-EtAl-On the Selection of ODE Models with Application to Predator-Prey Dynamical Models
    We propose a computationally inexpensive approach that employs statistical estimation of the full model, followed by a combination of a least squares approximation (LSA) and the adaptive Lasso.

    Keywords: least-squares approximationSpline modelingMonte Carlo simulationsvariable selectionadaptive LASSO

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    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.

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    2015-Joshi-EtAl-Optimal control of an SIR model with changing behavior through an education campaign
    We study stability analysis and use optimal control theory on the system of differential equations to achieve the goal of minimizing the infected population (while minimizing the cost).

    Keywords: SIR modelsvaccinepopulationwater treatmentsusceptibleeducation campaignminimizing costinfected

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    2015-G_Knott-Chemical Kinetics - Simple Binding F + G to and from B
    The study of this reaction, F + G goes to and from B, is common in chemistry and biochemistry. For example, F could be a hormone or drug and G the associated receptor sites.

    Keywords: bindingreactionchemical kineticsdeterministicBiochem Labsprobabilistickinetic reaction

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    2018-Banerjee-EtAl-Prey-Predator Model with a Nonlocal Bistable Dynamics of Prey
    The primary goal of our present work is to consider nonlocal consumption of resources in a spatiotemporal prey-predator model with bistable reaction kinetics for prey growth in the absence of...

    Keywords: predator-preynonlocal consumptionTuring bifurcationspatial Hopf bifurcationspatio-temporal patternprey growth

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    2015-Dios-EtAl-How Engineers deal with Mathematics solving Differential Equations
    The students of fourth course, of the bachelor’s degree in Computer Sciences or Industrial Engineering at the University of Salamanca (Spain), they learn mathematics solving real problems with the...

    Keywords: assessmentengineering educationSimulink

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    2015-Cano-EtAl-Bringing partial differential equations to life for students
    This work describes how to use an authoring tool, Easy Java Simulations, to build interactive simulations using FreeFem++ (Hecht F 2012 J. Numer. Math. 20 251) as a PDE solver engine.

    Keywords: Java SimulationFreeFemauthoring toolsauthoring methodsphysical modellingclassroom teaching

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    2015-Boggess-EtAl-Mathematical Modeling in Ecology - Simulating the Reintroduction of the Extinct Passenger Pigeon
    To determine under which conditions a Passenger Pigeon could survive a reintroduction into a natural habitat, we used two types of models.

    Keywords: simulationagent-based modelingallee_effectPassenger Pigeonsforest envirnomentHolling Type III functional responseBio-energeticstree distributions

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    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

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    2013-Gonzalez_Parra-Arenas-Mathematical Model for Social Security Systems with Dynamical Systems
    In this paper it is proposed a mathematical approach based on dynamic systems to study the effect of the increase in the Social Security normal retirement age on the worker and on the dynamics of...

    Keywords: dynamical systemsretirement modelSocial Security

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    2013-Clarke-Skirba-Rationale and resources for teaching the mathematical modeling of athletic training and performance
    It is advisable that the professionals involved learn the various tools available for designing effective training programs.

    Keywords: fitnessexercise physiologycritical power modelBanister impulse-response modelcoaching educationphysical fitnessperformance modeling

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    2012-Yuan_Yuan-A coupled plankton system with instantaneous and delayed predation
    We present two simple plankton population models: one has instantaneous predation, another has delayed predation.

    Keywords: phytoplanktonbifurcationorbitsherbivorous zooplanktoneffect of fishmaturation time delay

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    2012-Rusinko-Swan-Agent-Based Fabric Modeling Using Differential Equations
    We use an agent-based modeling software, NetLogo, to simulate fabric drape by applying a modified mass spring system.

    Keywords: NetLogospring massagent-baseddrapingyarnfabric

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    2012-Augustus-Wali-Mathematical Modeling of Uganda Population Growth
    The purpose of this paper focuses on the application of logistic equation to model the population growth of Uganda using data from 1980 to 2010 (inclusive).

    Keywords: population growthlogistic growthDrug and Alcohol detoxificationcarrying capacityvital coefficients

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