Nonlinear Differential Equation Course
Dive into nonlinear differential equations using population models to explore stability, bifurcations, and numerical techniques. Develop strong skills in creating precise ODE analyses for real-world applications and presenting findings clearly, perfect for maths experts wanting advanced practical knowledge.
4 to 360 hours flexible workload
valid certificate in your country
What will I learn?
Gain practical skills to examine equilibria, stability, and bifurcations in scalar nonlinear models, emphasising population dynamics and harvesting strategies. Master analytical and numerical solutions for first-order equations, conduct parameter scans, assess persistence against extinction, and produce detailed reports that effectively convey model outcomes and behaviours.
Elevify advantages
Develop skills
- Model nonlinear populations by constructing and evaluating logistic-with-harvesting ODEs.
- Solve nonlinear ODEs quickly with separation of variables, exact solutions, and partial fractions.
- Analyse stability through equilibrium classification, phase lines, and one-dimensional bifurcations.
- Conduct numerical simulations using Euler and Runge-Kutta methods for challenging population models.
- Present results with clear, precise explanations tailored for technical readers.
Suggested summary
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