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

DOI

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
@article{10_4153_S0008439519000705,
     author = {Alavinejad, Mahnaz and Wu, Jianhong},
     title = {Coupled {Systems} of {Renewal} {Equations} for {Forces} of {Infection} through a {Contact} {Network}},
     journal = {Canadian mathematical bulletin},
     pages = {624--632},
     year = {2020},
     volume = {63},
     number = {3},
     doi = {10.4153/S0008439519000705},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439519000705/}
}
TY  - JOUR
AU  - Alavinejad, Mahnaz
AU  - Wu, Jianhong
TI  - Coupled Systems of Renewal Equations for Forces of Infection through a Contact Network
JO  - Canadian mathematical bulletin
PY  - 2020
SP  - 624
EP  - 632
VL  - 63
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/S0008439519000705/
DO  - 10.4153/S0008439519000705
ID  - 10_4153_S0008439519000705
ER  - 
%0 Journal Article
%A Alavinejad, Mahnaz
%A Wu, Jianhong
%T Coupled Systems of Renewal Equations for Forces of Infection through a Contact Network
%J Canadian mathematical bulletin
%D 2020
%P 624-632
%V 63
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/S0008439519000705/
%R 10.4153/S0008439519000705
%F 10_4153_S0008439519000705

Cité par Sources :