TY - JOUR
T1 - Complexity of host-vector dynamics in a two-strain dengue model
AU - Rashkov, Peter
AU - Kooi, Bob W.
PY - 2021
Y1 - 2021
N2 - 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.
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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U2 - 10.1080/17513758.2020.1864038
DO - 10.1080/17513758.2020.1864038
M3 - Article
AN - SCOPUS:85098639989
VL - 15
SP - 35
EP - 72
JO - Journal of Biological Dynamics
JF - Journal of Biological Dynamics
SN - 1751-3758
IS - 1
ER -