LESSON 1 -- 28/09/2022
Section outline
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Two examples from population dynamics: Malthusian and Verhulst growth models and their explicit solutions. Phase-portrait of Malthusian and Verhulst models, discussion of equilibria’s role. Other two examples of 1-dim vector fields (explicit and qualitative study). Some recalls on vector fields: Cauchy problem, Cauchy existence and uniqueness Theorem, one example of a C^0 vector field without uniqueness of solutions. Video of Lecture 1:
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(or see Media Gallery)
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