Sumários
Epidemiological models
14 Março 2022, 13:30 • Maria Carlota da Rocha Xavier Rebelo Gonçalves
Renewal equation. Final size equation.
Euler-Lotka equation. R0 and the Malthusian coefficient r.
Seasonally dependent models for one species.
7 Março 2022, 13:30 • Maria Carlota da Rocha Xavier Rebelo Gonçalves
Continuous periodic logistic equation.
Asymptotically periodic solutions of periodically time dependent equations. Massera's theorem and its proof.
Exercise 9.
Exercises. Models for one species with seasonality
3 Março 2022, 13:30 • Maria Carlota da Rocha Xavier Rebelo Gonçalves
Exercises 3 and 4.
Equilibria of differential equations. Local stability and local asymptotical stability.
Models for one species which depend periodically on time. Poincaré map: definition and continuity.
Models for one species which depend periodically on time. Poincaré map: definition and continuity.