학술논문
A story of viral co-infection, co-transmission and co-feeding in ticks: how to compute an invasion reproduction number.
Document Type
Author
Belluccini G; T-6, Theoretical Biology and Biophysics, Los Alamos National Laboratory, Los Alamos, 87545, NM, USA.; School of Mathematics, University of Leeds, Leeds, LS2 9JT, UK.; Lin Q; T-6, Theoretical Biology and Biophysics, Los Alamos National Laboratory, Los Alamos, 87545, NM, USA.; Williams B; School of Mathematics, University of Leeds, Leeds, LS2 9JT, UK.; Lou Y; Department of Applied Mathematics, Hong Kong Polytechnic University, Hong Kong SAR, China.; Vatansever Z; Department of Parasitology, Faculty of Veterinary Medicine, Kafkas University, Kars, Turkey.; López-García M; School of Mathematics, University of Leeds, Leeds, LS2 9JT, UK.; Lythe G; School of Mathematics, University of Leeds, Leeds, LS2 9JT, UK.; Leitner T; T-6, Theoretical Biology and Biophysics, Los Alamos National Laboratory, Los Alamos, 87545, NM, USA.; Romero-Severson E; T-6, Theoretical Biology and Biophysics, Los Alamos National Laboratory, Los Alamos, 87545, NM, USA.; Molina-París C; T-6, Theoretical Biology and Biophysics, Los Alamos National Laboratory, Los Alamos, 87545, NM, USA.
Source
Country of Publication: United States NLM ID: 101759493 Publication Model: Electronic Cited Medium: Internet ISSN: 2331-8422 (Electronic) Linking ISSN: 23318422 NLM ISO Abbreviation: ArXiv Subsets: PubMed not MEDLINE
Subject
Language
English
Abstract
With a single circulating vector-borne virus, the basic reproduction number incorporates contributions from tick-to-tick (co-feeding), tick-to-host and host-to-tick transmission routes. With two different circulating vector-borne viral strains, resident and invasive, and under the assumption that co-feeding is the only transmission route in a tick population, the invasion reproduction number depends on whether the model system of ordinary differential equations possesses the property of neutrality. We show that a simple model, with two populations of ticks infected with one strain, resident or invasive, and one population of co-infected ticks, does not have Alizon's neutrality property. We present model alternatives that are capable of representing the invasion potential of a novel strain by including populations of ticks dually infected with the same strain. The invasion reproduction number is analysed with the next-generation method and via numerical simulations.