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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
Calsina, Angel
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Keywords: Structured populations
global existence
positive operators
steady states
Issue Date: Oct-2016
Date Deposited: 14-Mar-2016
Citation: Farkas JZ & Calsina A (2016) On a strain-structured epidemic model. Nonlinear Analysis: Real World Applications, 31, pp. 325-342.
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.
DOI Link: 10.1016/j.nonrwa.2016.01.014
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
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