Mathematical considerations of the invasion reproduction number in tick-borne virus co-infections
Yazarlar (9)
Giulia Belluccini
Qianying Lin
Bevelynn Williams
Yijun Lou
Martin Lopez-Garcia
Grant Lythe
Thomas Leitner
Ethan Romero-Severson
Kafkas Üniversitesi
Makale Türü Özgün Makale (Uluslararası alan indekslerindeki dergilerde yayınlanan tam makale)
Dergi Adı Mathematical Considerations of the Invasion Reproduction Number in Tick-Borne Virus Co-Infections
Makale Dili Basım Tarihi 01-2024
Makale Linki https://papers.ssrn.com/sol3/papers.cfm?abstract_id=4884248
UAK Araştırma Alanları
Veteriner Parazitolojisi
Özet
With a single circulating tick-borne virus, the basic reproduction number incorporates contributions from tick-to-tick, tick-to-host, and host-to-tick transmission routes. With two different circulating viral strains, resident and invasive, and under the assumption that tick-to-tick 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 consider alternative mathematical models that are capable of representing the invasion potential of a novel strain by including populations of ticks dually infected with the same strain (resident or invasive). The invasion reproduction number is analysed with the next-generation method and via numerical simulations.
Anahtar Kelimeler
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
Google Scholar 1

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