Geodesic
Coupled Systems of Renewal Equations for Forces of Infection through a Contact Network
Canadian mathematical bulletin, Tome 63 (2020) no. 3, pp. 624-632

Voir la notice de l'article provenant de la source Cambridge University Press

We formulate a coupled system of renewal equations for the forces of infections in interacting subgroups through a contact network. We use the theory of order-preserving and sub-homogeneous discrete dynamical systems to show the existence and uniqueness of the disease outbreak final sizes in the sub-populations. We illustrate the general theory through a simple SIR model with exponentially and non-exponentially distributed infectious period.
DOI : 10.4153/S0008439519000705
Mots-clés : force of infection, renewal equation, epidemic final size 
Alavinejad, Mahnaz; Wu, Jianhong. Coupled Systems of Renewal Equations for Forces of Infection through a Contact Network. Canadian mathematical bulletin, Tome 63 (2020) no. 3, pp. 624-632. doi: 10.4153/S0008439519000705
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