|Appears in Collections:||Computing Science and Mathematics Journal Articles|
|Peer Review Status:||Refereed|
|Title:||On a strain-structured epidemic model|
|Author(s):||Farkas, Jozsef Zoltan|
|Citation:||Farkas JZ & Calsina A (2016) On a strain-structured epidemic model. Nonlinear Analysis: Real World Applications, 31, pp. 325-342. https://doi.org/10.1016/j.nonrwa.2016.01.014|
|Abstract:||We introduce and investigate an SIS-type model for the spread of an infectious disease, where the infected population is structured with respect to the different strain of the virus/bacteria they are carrying. Our aim is to capture the interesting scenario when individuals infected with different strains cause secondary (new) infections at different rates. Therefore, we consider a nonlinear infection process, which generalises the bilinear process arising from the classic mass-action assumption. Our main motivation is to study competition between different strains of a virus/bacteria. From the mathematical point of view, we are interested whether the nonlinear infection process leads to a well-posed model. We use a semilinear formulation to show global existence and positivity of solutions up to a critical value of the exponent in the nonlinearity. Furthermore, we establish the existence of the endemic steady state for particular classes of nonlinearities.|
|Rights:||This item has been embargoed for a period. During the embargo please use the Request a Copy feature at the foot of the Repository record to request a copy directly from the author. You can only request a copy if you wish to use this work for your own research or private study. Accepted refereed manuscript of: Farkas JZ & Calsina A (2016) On a strain-structured epidemic model, Nonlinear Analysis: Real World Applications, 31, pp. 325-342. DOI: 10.1016/j.nonrwa.2016.01.014 © 2016, Elsevier. Licensed under the Creative Commons Attribution- NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/|
|SIS-PDE-arxiv-v2.pdf||Fulltext - Accepted Version||461.52 kB||Adobe PDF||View/Open|
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