Complexity of host-vector dynamics in a two-strain dengue model

Peter Rashkov; Bob W. Kooi

doi:10.1080/17513758.2020.1864038

Complexity of host-vector dynamics in a two-strain dengue model

Peter Rashkov^*, Bob W. Kooi

^*Corresponding author for this work

Research output: Contribution to Journal › Article › Academic › peer-review

Abstract

We introduce a compartmental host-vector model for dengue with two viral strains, temporary cross-immunity for the hosts, and possible secondary infections. We study the conditions on existence of endemic equilibria where one strain displaces the other or the two virus strains co-exist. Since the host and vector epidemiology follow different time scales, the model is described as a slow-fast system. We use the geometric singular perturbation technique to reduce the model dimension. We compare the behaviour of the full model with that of the model with a quasi-steady approximation for the vector dynamics. We also perform numerical bifurcation analysis with parameter values from the literature and compare the bifurcation structure to that of previous two-strain host-only models.

Original language	English
Pages (from-to)	35-72
Number of pages	38
Journal	Journal of Biological Dynamics
Volume	15
Issue number	1
Early online date	28 Dec 2020
DOIs	https://doi.org/10.1080/17513758.2020.1864038
Publication status	Published - 2021

Funding

This publication is based upon work from COST Action CA16227 Investigation & Mathematical Analysis of Avant-garde Disease Control via Mosquito Nano-Tech-Repellents, supported by COST (European Cooperation in Science and Technology). Weblink: www.cost.eu .

Funders	Funder number
National Scientific Program Information and Communication Technologies
Single Digital Market in Science, Education and Security	DO1-205/23.11.2018
European Cooperation in Science and Technology	CA16227
Ministry of Education and Science

Keywords

bifurcation analysis
Dengue
two-strain model
Vector-borne disease dynamics

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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10.1080/17513758.2020.1864038

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abstract = "We introduce a compartmental host-vector model for dengue with two viral strains, temporary cross-immunity for the hosts, and possible secondary infections. We study the conditions on existence of endemic equilibria where one strain displaces the other or the two virus strains co-exist. Since the host and vector epidemiology follow different time scales, the model is described as a slow-fast system. We use the geometric singular perturbation technique to reduce the model dimension. We compare the behaviour of the full model with that of the model with a quasi-steady approximation for the vector dynamics. We also perform numerical bifurcation analysis with parameter values from the literature and compare the bifurcation structure to that of previous two-strain host-only models.",

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AU - Kooi, Bob W.

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AB - We introduce a compartmental host-vector model for dengue with two viral strains, temporary cross-immunity for the hosts, and possible secondary infections. We study the conditions on existence of endemic equilibria where one strain displaces the other or the two virus strains co-exist. Since the host and vector epidemiology follow different time scales, the model is described as a slow-fast system. We use the geometric singular perturbation technique to reduce the model dimension. We compare the behaviour of the full model with that of the model with a quasi-steady approximation for the vector dynamics. We also perform numerical bifurcation analysis with parameter values from the literature and compare the bifurcation structure to that of previous two-strain host-only models.

KW - bifurcation analysis

KW - Dengue

KW - two-strain model

KW - Vector-borne disease dynamics

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Complexity of host-vector dynamics in a two-strain dengue model

Abstract

Funding

Keywords

UN SDGs

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