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2016-Roberto_Camporesi-A fresh look at linear ordinary differential equations with constant coefficients
We present an approach to the impulsive response method for solving linear constant-coefficient ordinary differential equations of any order based on the factorization of the differential operator.
impulseGreen functionsinstructional exposition
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2016-Pennell-Avitabile-White-Engineering Applications Differential Equations
General discussion of an engineering based differential equations course with examples from RC Circuit, mass spring dashpot.
circuitvoltagecapacitornondimensionalization
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2016-Mehmet_Pakdemirli-Mathematical design of a highway exit curve
Using fundamental principles of physics and calculus, the differential equation determining the curve function is derived.
kinematicscurve designhighway exittangential acceleration
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2016-Manheim-EtAl-Improving Decision Support for Infectious Disease Prevention and Control
This report describes decision-support tools, including models and nonmodeling approaches, that are relevant to infectious disease prevention, detection, and response and aligns these tools with real-world policy questions that the tools can help...
infectious diseaseecosystemepidemicmodel policy
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2016-Lofgren-EtAl-Equations of the End Teaching Mathematical Modeling Using the Zombie Apocalypse
In this article, we explore several uses of zombie epidemics to make mathematical modeling and infectious disease epidemiology more accessible to public health professionals, students, and the general public.
simulationinfectious diseasediseaseepidemicZombieWhite Zed
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2016-Lewnard-Townsend-Climatic and evolutionary drivers of phase shifts in the plague epidemics of colonial India
Our analysis shows that historical datasets can yield powerful insights into the transmission dynamics of reemerging disease agents with which we have limited contemporary experience to guide quantitative modeling and inference.
infectious diseasepVector-Borne Diseaselagueplague
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2016-Helena_Sofia_Rodrigues-Application of SIR epidemiological model new trends
In this paper, the basic transmission model is analyzed, as well as simple tools that allows us to extract a great deal of information about possible solutions. A set of applications - traditional and new - is described to show importance of this...
epidemiologybasic reproduction numberSIR
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2016-Erno_Keszei-Chemical Kinetics for Beginners
The most important goal of kinetic research is the identification and characterisation of elementary molecular events which make possible the transformation of reactants into products.
kineticszeroth order reactionfirst order reactionsecond order reactionreaction ratesthird order reaction
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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.
extinctionCoevolutionpredatorLotka Volterra equationspre
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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.
Immunologyimmune systemAntigenvaccinologyyellow fever
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2016-Barbarossa-Kuttler-Mathematical Modeling of Bacteria Communication in Continuous Cultures
This paper presents a simple system of delay differential equations (DDEs) for quorum sensing of Pseudomonas putida with one positive feedback plus one (delayed) negative feedback mechanism.
gene regulatory networkschemostatbifurcationNumerical Simulationquorum sensing
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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 multi-colony bumble bee population dynamics.
population modelReproductionspline approximationsBombus terrestrisneonicotinoidsbumble bee
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2017-Zhang-Wang-Study on public opinion propagation in self media age based on time delay differential model
We establish the Logistic equation, introduce the operator time delay differential equation, and finally establish the improved delay differential equation, which can describe the propagation trend of network news from the self media.
propagationpubic opinionNetwork public opinionpropagation lawself-mediaXiongan New Area
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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.
least-squares approximationSpline modelingMonte Carlo simulationsvariable selectionadaptive LASSO
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