Math Modeling

Math Modeling focuses on the application of mathematical concepts to solve real-world problems through modeling and analysis.

What is Mathematical Modeling?Building Simple ModelsInterpreting and Validating Models
Nonlinear and Complex ModelsModeling with Probability and StatisticsUsing Technology in Modeling
Epidemic ModelingEnvironmental ModelingEconomics and Business Modeling
Breaking Down Complex ProblemsChecking Your Assumptions
What is Mathematical...Building Simple Mode...Interpreting and Val...Nonlinear and Comple...Modeling with Probab...Using Technology in ...Epidemic ModelingEnvironmental Modeli...Economics and Busine...Breaking Down Comple...Checking Your Assump...
Practical Applications

Epidemic Modeling

Understanding Disease Spread

Math models can predict how diseases like the flu or COVID-19 spread in a population. These models help public health officials make important decisions.

Basic Epidemic Models

The SIR model is popular for this purpose:

  • Susceptible: People who can get sick.
  • Infected: People who are sick.
  • Recovered: People who are better and immune.

Real-World Impact

Models can estimate how fast an epidemic will grow and how many people may be affected, helping guide policies for safety.

Examples

  • Modeling how a flu outbreak spreads in a school.

  • Predicting the peak of a COVID-19 wave in a city.

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Environmental Modeling