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Title: Effects of population dispersal and pulse vaccination on disease control
Authors: Yang, Youping
Xiao, Yanni
Date: 2010
Citation: Yang, Y., & Xiao, Y. (2010). The effects of population dispersal and pulse vaccination on disease control. Mathematical and Computer Modelling, 52 (9-10): 1591-1604. doi:10.1016/j.mcm.2010.06.024
Abstract: In this paper, we investigate a nonautonomous SIR type epidemic model with pulse vaccination in patchy environments. We obtain a threshold parameter which governs the extinction or the uniform persistence of the disease by applying Floquet theory and the comparison theorem of impulsive differential equations. Numerical results indicate that population dispersal has significant effects on disease transmission. Varying the population dispersal rates between two patches in which the disease would die out if they had remained isolated, could allow the disease to persist globally. Alternatively, similar variations between patches where the disease would be persistent if isolated can lead to extinction globally. Finally, the model was generalized and we extended the definition of the basic reproduction number in a continuous (autonomous or periodic) system to that for a hybrid system as the spectral radius of the next infection operator.
ISSN: 0895-7177
Project Number: 104519
Project Title: International Research Chairs Initiative (IRCI)
Copyright: Elsevier
Access Restriction: Due to copyright restrictions the full text of this research output is not available in the IDRC Digital Library or by request from the IDRC Library. / Compte tenu des restrictions relatives au droit d`auteur, le texte intégral de cet extrant de recherche n`est pas accessible dans la Bibliothèque numérique du CRDI, et il n`est pas possible d`en faire la demande à la Bibliothèque du CRDI.
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