Review of EPs in 1D

Summary --- Review of EPs in 1D

  • review of EPs in 1D, plus stability and instability by test points and Linear Stability Analysis
  • The concept of scientific equilibrium, and the mathematical model of an equilibrium point
  • Change vectors in 1D and the definition of an Equilibrium Point in 1D
  • Finding Equilibrium Points in 1D: the logistic and Allee models:
  • Stability of equilibria in 1D:the method of test points and the method of plotting the vector field.
  • Linear Stability Analysis
  • Stable and unstable equilibrium points of nonlinear systems in 1D
  • The nonlinear system, near an equilibrium point, is acting like a linear system.
  • “All systems act like linear systems near an EP”
  • </div>