Differential Equations › Section E · Systems of differential equations › Topic E.13
Applications of nonlinear dynamics
Equilibria, linearisation, limit cycles and conserved quantities are not just theory. They explain why predator and prey numbers rise and fall in turn, when a disease will spread, how a chemical mixture can keep time, and why weather forecasts run out after about two weeks.
In this topic
- Models that explain, not just predict
- Predator-prey cycles
- Worked example: a predator-prey cycle
- Worked example: prey that limit themselves
- The SIR epidemic model
- Worked example: an outbreak threshold
- Chemical clocks and nerve cells
- Weather and chaos
- Common mistakes to avoid
- Key takeaways
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