TY - CHAP
T1 - Mathematical models of influenza
T2 - The role of cross-immunity, quarantine and age-structure
AU - Nuño, M.
AU - Castillo-Chavez, Carlos
AU - Feng, Z.
AU - Martcheva, M.
PY - 2008
Y1 - 2008
N2 - This chapter compiles some of the results on influenza dynamics that involve a single strain, as well as two competing strains. The emphasis is on the role of cross-immunity, quarantine and age-structure as mechanisms capable of supporting recurrent influenza epidemic outbreaks. Quarantine or age-structure alone can support oscillations while cross-immunity enhances the likelihood of strain coexistence and impacts the length of the period. It is the hope that the perspective provided here will instigate others to use mathematical models in the study of disease transmission and its evolution, particularly in a setting that involves highly variable pathogens.
AB - This chapter compiles some of the results on influenza dynamics that involve a single strain, as well as two competing strains. The emphasis is on the role of cross-immunity, quarantine and age-structure as mechanisms capable of supporting recurrent influenza epidemic outbreaks. Quarantine or age-structure alone can support oscillations while cross-immunity enhances the likelihood of strain coexistence and impacts the length of the period. It is the hope that the perspective provided here will instigate others to use mathematical models in the study of disease transmission and its evolution, particularly in a setting that involves highly variable pathogens.
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U2 - 10.1007/978-3-540-78911-6_13
DO - 10.1007/978-3-540-78911-6_13
M3 - Chapter
AN - SCOPUS:42249083000
SN - 9783540789109
T3 - Lecture Notes in Mathematics
SP - 349
EP - 364
BT - Mathematical Epidemiology
PB - Springer Verlag
ER -