Aula 5

3 Dezembro 2018, 15:30 • Maria Teresa Faria da Paz Pereira

Study of characteristic equations for some selected examples (cont.): 3. A predator-prey model with two delays and conditions for the absolute (i.e., independently of the size of the delays) local asymptotic stability of the positive equilibrium; Hopf bifurcation points. 4. A chemostat model with one discrete delay and stability of its equilibria. 5. Nicholson blowflies’s equation (homework).
Autonomous DDEs x'(t)=f(x_t) and semi-dynamical systems; (positive) orbits and omega-limit sets; if f is completely continuous, bounded positive orbits are pre-compact. Properties of the omega-limit sets.

(Esta aula foi leccionada em português, no dia 07/12/18).