Open AccessStability results on age‐structured SIS epidemic model with coupling impulsive effect
Author(s) -
Helong Liu,
Houbao Xu,
Jingyuan Yu,
Guangtian Zhu
Publication year - 2006
Publication title -
discrete dynamics in nature and society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.264
H-Index - 39
eISSN - 1607-887X
pISSN - 1026-0226
DOI - 10.1155/ddns/2006/83489
Subject(s) - stability (learning theory) , epidemic model , coupling (piping) , mathematics , physics , computer science , demography , materials science , sociology , metallurgy , population , machine learning
We develop an age-structured epidemic model for malaria withimpulsive effect, and consider the effect of blood transfusion andinfected-vector transmission. Transmission rates depend on age. Wederive the condition in which eradication solution is locallyasymptotically stable. The condition shows that large enough pulsereducing proportion and relatively small interpulse time lead tothe eradication of the diseases
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