Slide 1 Bifurcations & XPPAUT Slide 2 Outline Why to study the phase space? Bifurcations / AUTO Morris-Lecar Slide 3 A Geometric Way of Thinking Exact solution: Slide…

PowerPoint Presentation The simplest model of population growth is dy/dt = ky, according to which populations grow exponentially. This may be true over short periods of time,…

The Logistics of the Logistic Curve Dan Kennedy Baylor School Chattanooga, TN [email protected] A real-world problem from my high school days: Under favorable conditions,…

C.3.4 - Applications of DE Calculus - Santowski * Calculus - Santowski * Calculus - Santowski Lesson Objectives 1. Apply differential equations to applications involving…

LOGISTIC EQUATIONS Sect. 5-L (6-3 in book) Logistic Equations Exponential growth modeled by assumes unlimited growth and is unrealistic for most population growth. More typically…

PowerPoint Presentation The simplest model of population growth is dy/dt = ky, according to which populations grow exponentially. This may be true over short periods of time,…

Slide 1 The simplest model of population growth is dy/dt = ky, according to which populations grow exponentially. This may be true over short periods of time, but it is clear…

Logistic Growth Do Now: #1-8, p.346 Let 1. Continuous for all real numbers Check the graph first? 2. 3. H.A.: y = 0, y = 50 4. In both the first and second derivatives, the…