Sumários

Disucssão de exercícios

29 Maio 2024, 10:00 Alessandro Margheri


Ex 3.6. Discussion  of lines (3), (4).

Ex  21. Ex 24

stochastic logistic equation: quasi-steady state

28 Maio 2024, 11:00 Alessandro Margheri


Existence of the quasi steady state. Convergence  to the quasi-steady state. Time to extinction

Logistic stochastic equation

22 Maio 2024, 10:00 Alessandro Margheri


Logistic stochastic equation: formulation of   the corresponding birth-death process.   Ex. 2.4.   Yaglon limit.

Linear birth death process in continuous time and corresponding G-W process

21 Maio 2024, 11:00 Alessandro Margheri


Linear birth death process in continuous time and corresponding G-W process.  Ex. 1.10. Logistic equation in  continuous time.

SIR model: embedded Markov chain

17 Maio 2024, 10:00 Alessandro Margheri


How to obtain a discrete time model from the linear continuous time birth-death process.  Probability of transition from a compartment to others linked to it.  Explicit construction of the embedded Markov chain.