Global Asymptotic Convergence Results for Multitype Models
International Journal of Applied Mathematics and Computer Science, Tome 10 (2000) no. 1, pp. 63-79
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This paper proves global asymptotic convergence in a multitype epidemic model which encompasses both the S –> I and S –> I –> S epidemics. Systems are considered where the infection matrix may be reducible, and for which the system may be closed or can be open with a stable population size. New global asymptotic convergence results are obtained.
Keywords:
global asymptotic convergence, multitype S → I → S epidemics, stable population size, reducible systems
Mots-clés : konwergencja, system redukowalny
Mots-clés : konwergencja, system redukowalny
@article{IJAMCS_2000_10_1_a2,
author = {Rass, L. and Radcliffe, J.},
title = {Global {Asymptotic} {Convergence} {Results} for {Multitype} {Models}},
journal = {International Journal of Applied Mathematics and Computer Science},
pages = {63--79},
publisher = {mathdoc},
volume = {10},
number = {1},
year = {2000},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IJAMCS_2000_10_1_a2/}
}
TY - JOUR AU - Rass, L. AU - Radcliffe, J. TI - Global Asymptotic Convergence Results for Multitype Models JO - International Journal of Applied Mathematics and Computer Science PY - 2000 SP - 63 EP - 79 VL - 10 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IJAMCS_2000_10_1_a2/ LA - en ID - IJAMCS_2000_10_1_a2 ER -
%0 Journal Article %A Rass, L. %A Radcliffe, J. %T Global Asymptotic Convergence Results for Multitype Models %J International Journal of Applied Mathematics and Computer Science %D 2000 %P 63-79 %V 10 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/IJAMCS_2000_10_1_a2/ %G en %F IJAMCS_2000_10_1_a2
Rass, L.; Radcliffe, J. Global Asymptotic Convergence Results for Multitype Models. International Journal of Applied Mathematics and Computer Science, Tome 10 (2000) no. 1, pp. 63-79. http://geodesic.mathdoc.fr/item/IJAMCS_2000_10_1_a2/