Optimal vaccination in a SIRS epidemic model Optimal vaccination in a SIRS epidemic model

• Published in: Economic theory Vol. 77; no. 1; pp. 49 - 74
• Main Authors: Federico, Salvatore, Ferrari, Giorgio, Torrente, Maria-Laura
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.02.2024; Springer; Springer Nature B.V
• Subjects: Case studies; Communicable diseases; Economic theory; Economic Theory/Quantitative Economics/Mathematical Methods; Economics; Economics and Finance; Epidemics; Game Theory; Immunization; Infectious diseases; Microeconomics; Public Finance; Research Article; Social and Behav. Sciences; Vaccination; Verification; Epidemic; SIRS model; I12; I18; 92D30; Optimal control; Viscosity solution; 93C15; Optimal vaccination; 49K15; 49L25; Non-smooth verification theorem; C61

We propose and solve an optimal vaccination problem within a deterministic compartmental model of SIRS type: the immunized population can become susceptible again, e.g. because of a not complete immunization power of the vaccine. A social planner thus aims at reducing the number of susceptible indiv...