In this thesis, we investigate a stochastic SISV (Susceptible - Infectious - Susceptible - Vaccinated) epidemic model with vertical transmission. Births and deaths are allowed among the population, the infection can be transmitted to the offspring and vaccines are considered to be perfect. Two types of vaccine are considered: prophylactic and therapeutic. Through some numerical works, we study and compare the effectiveness of both vaccination strategies using the exact reproduction number, which counts the exact number of secondary infections caused by a typical infectious individual during its entire infectious period.

In this thesis, we investigate a stochastic SISV (Susceptible - Infectious - Susceptible - Vaccinated) epidemic model with vertical transmission. Births and deaths are allowed among the population, the infection can be transmitted to the offspring and vaccines are considered to be perfect. Two types of vaccine are considered: prophylactic and therapeutic. Through some numerical works, we study and compare the effectiveness of both vaccination strategies using the exact reproduction number, which counts the exact number of secondary infections caused by a typical infectious individual during its entire infectious period.

Prophylactic and therapeutic vaccines comparison in a stochastic SISV model with vertical transmission

BARONE, LAVINIA
2023/2024

Abstract

In this thesis, we investigate a stochastic SISV (Susceptible - Infectious - Susceptible - Vaccinated) epidemic model with vertical transmission. Births and deaths are allowed among the population, the infection can be transmitted to the offspring and vaccines are considered to be perfect. Two types of vaccine are considered: prophylactic and therapeutic. Through some numerical works, we study and compare the effectiveness of both vaccination strategies using the exact reproduction number, which counts the exact number of secondary infections caused by a typical infectious individual during its entire infectious period.
2023
Prophylactic and therapeutic vaccines comparison in a stochastic SISV model with vertical transmission
In this thesis, we investigate a stochastic SISV (Susceptible - Infectious - Susceptible - Vaccinated) epidemic model with vertical transmission. Births and deaths are allowed among the population, the infection can be transmitted to the offspring and vaccines are considered to be perfect. Two types of vaccine are considered: prophylactic and therapeutic. Through some numerical works, we study and compare the effectiveness of both vaccination strategies using the exact reproduction number, which counts the exact number of secondary infections caused by a typical infectious individual during its entire infectious period.
Markov chains
SIS model with VT
SISV model with VT
Vaccination
Competition process
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12608/80272