Skip to Main Content
Powered by QUBES

Resources

Text Search:
Applied Filters
    Potential Scenario
    185

    views

    77

    downloads

    0

    comments

    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.
    epidemiologydynamical systemszombiesbifurcationperturbation
    Potential Scenario
    161

    views

    72

    downloads

    0

    comments

    2017-Guy-Bart_Stan-Modelling in Biology
    This is a very rich set of notes, rich in examples and ideas for modeling. In almost all cases after a model is introduced in real context there is attention to stability analysis.
    spring massbifurcationmass actionlimit cycles
    Potential Scenario
    126

    views

    47

    downloads

    0

    comments

    2012-Arvind_Kumar_Misra-A simple mathematical model for the spread of two political parties
    In this paper, a non-linear mathematical model for the spread of two political parties has been proposed and analyzed by using epidemiological approach.
    epidemiccompartmentpolitical parties
    Modeling Scenario
    250

    views

    218

    downloads

    0

    comments

    1-135-FishHarvesting-ModelingScenario
    This short activity will walk students through a guided list of questions to help them to understand how the stability of equilibrium changes with changes in a model parameter, in this case the rate of harvesting fish.
    population dynamicsfishstabilitybifurcationharvest
    Potential Scenario
    1602

    views

    58

    downloads

    0

    comments

    2018-Kovacs-Insperger-Retarded neutral and advanced differential equation models for balancing using an accelerometer
    It is shown that slight modeling differences lead to significant qualitative change in the behavior of the system, which is demonstrated by means of the stability diagrams for the different models.
    feedbackAccelerometersfunctional differential equationssemi-discretizationD-subdivision method
    Potential Scenario
    216

    views

    60

    downloads

    0

    comments

    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 show the spread of HIV in a homogeneous population.
    diseaselogisticHIVpiecewise constantIndia
    Potential Scenario
    154

    views

    48

    downloads

    0

    comments

    2019-Zhu_EtAl-Partial_differential_equation_modeling_of_rumor_propagation
    This paper defines a spatial distance in online social networks by clustering and then proposes a partial differential equation model with a time delay.
    social networksrumorpropogation
    Potential Scenario
    130

    views

    48

    downloads

    0

    comments

    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.
    phytoplanktonbifurcationorbitsherbivorous zooplanktoneffect of fishmaturation time delay
    Potential Scenario
    273

    views

    83

    downloads

    0

    comments

    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.
    zombiesinfectionepidemicwater treatmentlatent infectionquarantineimpulsive eradication
    Article or Presentation
    128

    views

    33

    downloads

    0

    comments

    2002-Patrick_Nelson-Alan_Perelson-Mathematical_analysis_of_delay_differential _equation_models_of_HIV-1_infection
    Models of HIV-1 infection that include intracellular delays are more accurate representations of the biology and change the estimated values of kinetic parameters when compared to models without delays.
    delayHIV-1T cellscombination antiviral therapy
    Potential Scenario
    151

    views

    73

    downloads

    0

    comments

    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 the people.
    carrying capacityharvestEaster Islandinvasie especiesratsRoughgarden theorem.
    Modeling Scenario
    393

    views

    608

    downloads

    0

    comments

    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 there is cannibalism in the predator species.
    stabilitypredator-preyequilibriaoscillationscannibalismphase planesspiral sinks
    Potential Scenario
    238

    views

    57

    downloads

    0

    comments

    2011-Radouane_Yafia-A Study of Differential Equations Modeling Malignant Tumor Cells in Competition with Immune System
    In this paper, we present a competition model of malignant tumor growth that includes the immune system response. The model considers two populations: immune system (effector cells) and population of tumor (tumor cells).
    Immunologytumorhopf bifrucation
    Potential Scenario
    111

    views

    29

    downloads

    0

    comments

    2008-Jai-Li-Differential equations models for interacting wild and transgenic mosquito populations
    We formulate and study continuous-time models, based on systems of ordinary differential equations, for interacting wild and transgenic mosquito populations.
    Mosquito borne diseasespopulationsHolling-II-type mating ratestransgenic mosquitoesnonhyperbolic equilibriummosquitoes
    Potential Scenario
    131

    views

    39

    downloads

    0

    comments

    2005-P_Howard-Modeling with ODE
    In these notes we consider three critical aspects in the theory of ordinary differential equations: developing models of physical phenomena, mathematically well-posed, solving ODE numerically .
    Fluid Mechanicscompartmentpopulationsvariational methodsHamiltonian mechanics
    Free Online Textbook
    162

    views

    58

    downloads

    0

    comments

    2014-Andre_De Ross-Modeling Population Dynamics
    This course is intended as an introduction to the formulation, analysis and application of mathematical models that describe the dynamics of biological populations.
    predator-preycompetitionpopulationgrowthbifrucationtext
    Potential Scenario
    135

    views

    42

    downloads

    0

    comments

    1998-K_H_Louie_Clark-P_C_D_Newton-Analysis of differential equation models in biology-clover meristem populations
    A simple differential equation model (dynamical system) for clover, based on meristem numbers, is outlined and analysed mathematically.
    sensitivity analysisstability analysissteady statesgrowing pointsbudsmeristems
    Modeling Scenario
    314

    views

    301

    downloads

    0

    comments

    6-002-EulerCromerPendulum-ModelingScenario
    This activity introduces students to the concept of numerical stability. While modeling a simple pendulum, students compare performance of the semi-implicit Euler-Cromer method with Euler's method and the higher-order Improved Euleror algorithm.
    pendulumsemi-implicit methodsEuler-Cromernumerical solvers
    Potential Scenario
    165

    views

    79

    downloads

    0

    comments

    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 and control strategies.
    reproductive numberGamblingepidemicsensitivity indexyouth gambling
    Potential Scenario
    196

    views

    49

    downloads

    0

    comments

    2018-Nyanginja-Angwenyi-Musyoka-Orwa - Mathematical modeling of the effects of public health education on tungiasis
    In this paper, we formulate and study a mathematical model for the dynamics of jigger infestation incorporating public health education using systems of ordinary differential equations and computational simulations.
    diseaseendemicreproduction numbertungiasisjigger infestation