Resources

Text Search:
Applied Filters
    Potential Scenario
    107

    views

    35

    downloads

    0

    comments

    2011-Teleken-EtAl-Mathematical modeling of microbial growth in milk
    A mathematical model to predict microbial growth in milk was developed and analyzed. The model consists of a system of two differential equations of first order. The equations are based on physical hypotheses of population growth.
    Potential Scenario
    94

    views

    33

    downloads

    0

    comments

    2013-Murray_Bourne-Modeling fish stocks
    It is possible to have a sustainable fishing industry with proper planning and strictly enforced quotas.
    Potential Scenario
    92

    views

    59

    downloads

    0

    comments

    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.
    Modeling Scenario
    291

    views

    201

    downloads

    0

    comments

    1-097-SwimmingPool-ModelingScenario
    This project involves the dynamics of chlorine concentration during regular swimming pool maintenance cycles. Students will have the opportunity to use both analytic and numerical methods.
    Modeling Scenario
    249

    views

    91

    downloads

    0

    comments

    1-041-AirToTop-ModelingScenario
    One common rule taught to SCUBA divers is to ascend no faster than thirty feet per minute. In this project we will examine safe variable ascent rates, time required for a safe ascent using variable ascent rates.
    Modeling Scenario
    148

    views

    135

    downloads

    0

    comments

    3-150-ItsABlastFurnace-ModelingScenario
    This project uses the steady-state heat equation to model the temperature distribution in an industrial furnace used for metal production, for example, a blast furnace.
    Potential Scenario
    110

    views

    40

    downloads

    0

    comments

    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 available in the literature.
    Potential Scenario
    112

    views

    61

    downloads

    0

    comments

    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.
    Potential Scenario
    144

    views

    63

    downloads

    0

    comments

    2016-Devaki-Swathi-System of Differential Equations in Prey Predator Model
    Predation relationship exists in ecological niches throughout the world. This is the species interaction which will be mathematically analyzed and embodied in this work.
    Potential Scenario
    92

    views

    42

    downloads

    0

    comments

    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 management of the resources and the second one is...
    Potential Scenario
    126

    views

    67

    downloads

    0

    comments

    Technique Narrative
    263

    views

    114

    downloads

    0

    comments

    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 these parameters vary.
    Modeling Scenario
    298

    views

    1152

    downloads

    0

    comments

    6-025-WhalesAndKrill-ModelingScenario
    Students will use Excel to observe qualitative behavior in a simulation of a predator-prey model, with blue whales and krill as the predator and prey populations, respectively.
    Potential Scenario
    169

    views

    65

    downloads

    0

    comments

    1975-David_Burghes-Population dynamics An introduction to differential equations
    In this paper a number of population models, which lead to differential equations, are derived. First-order variables separable equations are formulated from the Malthusian population model and its extension to include crowding effects.
    Technique Narrative
    364

    views

    413

    downloads

    0

    comments

    1-005-NavigatingNumericalMethods-TechniqueNarrative
    This technique narrative is a discovery-based approach to learning the basics of numerical methods for first order differential equations, by following the graphical and analytical perspectives of the forward Euler method and second order Taylor...
    General Resource
    143

    views

    39

    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,