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###### Applied Filters

General Resource

##### Instructor Solutions Second Edition SIMIODE Textbook HTML Version

This is material we make available for instructors teaching a modeling-first approach to differential equations when using the Second Edition of SIMIODE Textbook, Differential Equations: A Toolbox for Modeling the Real World in HTML Version.Article or Presentation

##### SIMIODE Spring 2024 Webinars - WikiModel

WikiModel is cloud-based application and requires no installation and is run via a web-browser to facilitate rapid implementation. Equations are typed in as they appear in a textbook. ODEs are automatically integrated via Runge-Kutta methods.Modeling Scenario

##### 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.Modeling Scenario

##### 6-068-VisualizingPredator-PreyCycles

In this modeling scenario, we propose a gentle introduction to limit cycles using nullcline analysis and a spreadsheet graphical approach via the fourth-order Runge-Kutta method. We will be offering three predator-prey models, each more complex...Modeling Scenario

##### 6-005-InsectColonySurvivalOpt-ModelingScenario

We present a system of nonlinear differential equations to model the control of energy flow into producing workers or reproducers in an insect colony, using a set of given parameters and a number of different energy functions.Potential Scenario

##### 2018-LA_Peletier-Ordinary Differential Equations in Pharmacodynamics

Good mix of theory, application, solution technique in a number of areas of applications of differential equations. Develops qualitative behavior issues. Exercises, but not about models, more about the mathematics only.Potential Scenario

##### 2018-Arden_Baxter-Modeling Public Opinion

In this paper, we adapt the epidemiological models to model the dynamics of public opinion. Public opinion is any view prevalent among the general public. Our model considers any topic or issue in which the public has two decisive and opposing...Potential Scenario

##### 2017-ASHP-Intro to Pharmacokinetics and Pharmacodynamics

This is the introductory Lesson 1 in an online set of materials to introduce Pharmacokinetics and Pharmacodynamics.Potential Scenario

##### 2014-Enderling-Chaplain-Mathematical Modeling of Tumor Growth and Treatment

Herein we describe fundamentals of mathematical modeling of tumor growth and tumor-host interactions, and summarize some of the seminal and most prominent approaches.Potential Scenario

##### 2014-Eckhoff-EtAl-Fun with maths-exploring implications of mathematical models for malaria eradication

. In this note, four examples demonstrate both the effects of model structures and assumptions and also the benefits of using a diversity of model approaches fomalaria eradication strategies.Potential Scenario

##### 2011-Nakul-Chitnis-Introduction to Mathematical Epidemiology - Deterministic Compartmental Model

Deterministic compartmental models form the simplest models in the mathematical study of infectious disease dynamics. They assume that a population is homogenous (all people are the same) and the only distinction is in their disease state.Potential Scenario

##### 2009-Shamim-EtAl-Investigating viscous damping using a webcam

We describe an experiment involving a mass oscillating in a viscous fluid and analyze overdamped, critically damped and underdamped regimes of harmonic motion.Potential Scenario

##### 2008-Chernyshov-EtAl-The Problem of Modelling of Economic Dynamics in Differential Form

The authors have tried to analyze procedures of the construction of differential equations that are employed for modeling of macroeconomic processes. The results prove to be rather unexpected.Potential Scenario

##### 2006-Cooke-Elderkin-Huang-Predator-Prey interactions with delays due to juvenile maturation

This paper focuses on predator-prey models with juvenile/mature class structure for each of the predator and prey populations in turn, further classified by whether juvenile or mature individuals are active with respect to the predation process.Potential Scenario

##### 2002-Chai-Optimal initial angle to fire a projectile

Assume a projectile is fired without air resistance and lands at a height y above its initial vertical position. What is the optimal initial angle of firing to maximize the horizontal distance traveled by the projectile?”Potential Scenario

##### 2001-Tsoularis-Analysis of logistic growth models

variety of growth curves have been developed to model both unpredated, intraspecific population dynamics and more general biological growth. We further review and compare several such models.Free Online Textbook

##### 2012-Brian_Ingalls-Mathematical Modelling in Systems Biology An Introduction

This is a comprehensive text with much biology background to motivate the mathematical modeling, exercises and answers, and many rich examples.Free Online Textbook

##### 2015-H_Sayama-Intro to Modeling and Analysis of Complex Systems

Introduces students to mathematical/computational modeling and analysis developed in the emerging interdisciplinary field of Complex Systems Science.Free Online Textbook

##### 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.Potential Scenario