Population Growth The Logistic Model

>> YOUR LINK HERE: ___ http://youtube.com/watch?v=iOumaIR5gzA

A graphical approach is used to analyze population dynamics given by one of the simplest mathematical models of population growth, the logistic equation, a nonlinear differential equation proposed in the 1800s to describe the growth of the human population. A more realistic model which includes the effect of predation • The Science of Insect Outbreaks: Expl... • ► Next, the impossibility of oscillations in 1D ODEs • • Impossibility of Oscillations in 1D F... • ► Map version, the logistic map • • Logistic Map, Part 1: Period Doubling... • ► 'Nonlinear Dynamics and Chaos' (online course). • Online course playlist https://is.gd/NonlinearDynamics • ► New topics posted on a regular basis. • Subscribe https://is.gd/RossLabSubscribe • ► Dr. Shane Ross, Virginia Tech professor (Caltech PhD) • http://chaotician.com • ► Course lecture notes (PDF) • https://is.gd/NonlinearDynamicsNotes • Reference: Steven Strogatz, Nonlinear Dynamics and Chaos , Chapter 2: Flows on the Line • ► Related Courses Series Playlists by Dr. Ross • 📚3-Body Problem Orbital Dynamics • https://is.gd/3BodyProblem • 📚Space Manifolds • https://is.gd/SpaceManifolds • 📚Space Vehicle Dynamics • https://is.gd/SpaceVehicleDynamics • 📚Lagrangian 3D Rigid Body Dynamics • https://is.gd/AnalyticalDynamics • 📚Nonlinear Dynamics Chaos • https://is.gd/NonlinearDynamics • 📚Hamiltonian Dynamics • https://is.gd/AdvancedDynamics • 📚Center Manifolds, Normal Forms, Bifurcations • https://is.gd/CenterManifolds • • mathematical biology biological mathematics nonlinear dynamics dynamical systems differential equations dimensions phase space Poincare Strogatz graphical method Fixed Points Equilibrium Equilibria Stability Stable Point Unstable Point Linear Stability Analysis Vector Field One-Dimensional 1-dimensional Functions Allee effect Logistic equation Ecological Forecasting Malthus Carrying Capacity Growth Rate Verhulst insect mosquitos ants pest control • #NonlinearDynamics #MathematicalBiology #PopulationGrowth #EcologicalForecasting #DynamicalSystems #PopulationDynamics #Population #Malthus #DifferentialEquations #dynamics #dimensions #PhaseSpace #Poincare #Strogatz #graphicalmethod #FixedPoints #EquilibriumPoints #Stability #StablePoint #UnstablePoint #Stability #LinearStability #LinearStabilityAnalysis #StabilityAnalysis #VectorField #OneDimensional #Functions #logistic #populationBiology #logisticEquation

#############################

New on site