PPT-S.i.r . Modeling Epidemics with Differential Equations

Ross Beckley Cametria Weatherspoon Michael Alexander Marissa Chandler Anthony Johnson Ghan Bhatt Topics The Model Variables amp Parameters Analysis Assumptions Solution Techniques. A partial differential equation is a differential equation which involves partial derivatives of one or more dependent variables with respect to one or more independent variables.. Consider the first-order partial differential equation. Outline. Time Derivatives & Vector Notation. Differential Equations of Continuity. Momentum Transfer Equations. Introduction. FLUID. In order to calculate forces exerted by a moving fluid as well as the consequent transport effects, the dynamics of flow must be described mathematically . FREQUENCY 10k 69 72 75 78 81 84 87 90 GAIN TA01b 100k 1M 10M 100M 1G 60 63 66 Pseudo-Differential Differential)/95dB (Pseudo-Differential)Programmable Compression VoltagesOnboard Reference Reference By: Kelly Martin. Differential Equation. Mathematical equation that relates some function with its derivatives. Usually, the functions represent physical quantities, the derivatives represent their rates of change, and the equation defines a relationship between those two. 2. Ordinary Differential Equations. To solve an RL circuit, we apply KVL around the loop and obtain a differential equation:. Differential Equation has an independent variable . i. and the derivative of the independent variable.. Plague of Athens (430 BC). Peloponnesian War between Athens and Sparta. Plague lasted 3 years. Killed ~25% of Athens population . Including Pericles . Likely Typhoid fever or a Hemorrhagic Fever like Ebola.  . An order . differential equation has a . parameter family of solutions … or will it?.  . 0. 1. 2. 3. 4. 0. 0. 1. 2. 3. 4. 1. 1. 2. 3. 4. 0. 2. 2. 3. 4. 0. 1. 3. 3. 4. 0. 1. 2. 4. 4. 0. 1. 2. Introduction to ODEs and Slope Fields. An . ordinary differential equation (ODE). is an equation involving a function . and some of its derivatives . , . ,….  . For example:.  . This equation says that . 2. 8.1: First Order Systems. We now look at systems of linear differential equations.. One of the main reasons is that any nth order differential equation with n > 1 can be written as a first order system of n equations in n unknown functions.. Numerical Approaches. by Thayer Fisher and Riley James. 1. Outline. Intro. A simple example. Proper . definition. Real world . example. Solutions. Runge-Kutta, . Dormond-Prince/ode23s. Conclusion. 2. Fields. By: Leslie Cade. 1. st. period. Differential Equations. A differential equation is an equation which involves a function and its derivative. There are two types of differential equations: . General solution: is when you solve in terms of y and there is a constant “C” in the problem. MA361 Differential Equations Syllabus Winter 2018 Instructor and Textbook Instructor: Roxin Zhang Class: MWF 12:00 – 12:50 pm, Jamrich 3315 Office Hours: MWRT 11-11:50 am, Jamrich 2208 Text: A First Course in Differential Equations, 11th A Brief Introduction. One of the only . truly. long-term sets of ecological data comes to us from the Hudson Bay Trading Company. . They kept very good records, for over a century, of the number of lynx and hare pelts that they received from trappers in the region surrounding Hudson Bay. . Obj. 9.2: . . Identify factors shaping historical epidemics & explain their impact on health outcomes.. Do Now. 1. Which epidemic in the past 200 years killed the most people?. 2. What type of disease has been most prevalent in major outbreaks over the past 200 years?.