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Calculus - Differential Equations - Virus Simulation

Calculus - Differential Equations - Virus Simulation
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2018-02-13 12:41
FunctionCalculusGraphing
This example demonstrates the use of differential equations to simulate virus spread dynamics. Core math concepts include differential equations in calculus, function graphing, and parameter dynamic adjustment. GeoGebra commands like Textfield, NSolveODE, Point are used to track and visualize population changes of infected and susceptible groups, suitable for high school students and math enthusiasts to understand practical mathematical modeling applications.

GeoGebra Commands & Parameters

  1. Textfield(I_0) → InputBox1
  2. NSolveODE({S', I', R', D'}, 0, {S_0, I_0, 0, 0}, totalTime) → S, I, R, D
  3. Textfield(N) → InputBox2
  4. Point(S, t / totalTime) → S_t
  5. Point(I, t / totalTime) → I_t
  6. Point(R, t / totalTime) → R_t
  7. Point(D, t / totalTime) → D_t
  8. Textfield(mmax) → InputBox3