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 |
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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 | |
Publication status | Published - 2021 |
Keywords
- bifurcation analysis
- Dengue
- two-strain model
- Vector-borne disease dynamics
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Complexity of host-vector dynamics in a two-strain dengue model
Rashkov, P. (Contributor) & Kooi, B. W. (Contributor), Unknown Publisher, 1 Jan 2020
DOI: 10.6084/m9.figshare.13491026.v1, https://doi.org/10.6084%2Fm9.figshare.13491026.v1
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