Impact of conditional vector preferences in the spatial spread of infectious diseases
Despite the fact that it is well known that vectors do not visit hosts randomly, many epidemiological models of vector-borne diseases do not take into account this biological fact. Indeed, vectors may be differentially attracted toward infected and uninfected hosts depending on whether they carry the pathogen or not. We would like to know what would be the implication for the long-term dynamics of our system. This talk is based on publication. We consider a system of partial differential equations with vector diffusion. For the nonspa tial model, we show that conditional vector preferences may induce bi-stability between the disease-free equilibrium and an endemic equilibrium. Backward bifurcation may also occur. For the model with diffusion, we show that bistable travelling waves may exists with posiAve or negative spreading speeds such that the disease either invades or retreats into space. When a monostable travelling wave occurs, we show that the disease spreading speed depends on conditional vectorial preferences. We illustrate the theoretical results with several simulations. We also discuss the implication of our findings in terms of control strategies.
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dig-cirad-fr-6074502024-02-28T13:57:51Z http://agritrop.cirad.fr/607450/ http://agritrop.cirad.fr/607450/ Impact of conditional vector preferences in the spatial spread of infectious diseases. Hamelin Frédéric, Hilker Frank M., Dumont Yves. 2023. . University of Pretoria. Pretoria : University of Pretoria, 1 p. Southern Africa Mathematical Sciences Association Annual Conference (SAMSA 2023), Pretoria, Afrique du Sud, 21 Novembre 2023/24 Novembre 2023.https://www.up.ac.za/cf-samsa2023 <https://www.up.ac.za/cf-samsa2023> Impact of conditional vector preferences in the spatial spread of infectious diseases Hamelin, Frédéric Hilker, Frank M. Dumont, Yves eng 2023 University of Pretoria Despite the fact that it is well known that vectors do not visit hosts randomly, many epidemiological models of vector-borne diseases do not take into account this biological fact. Indeed, vectors may be differentially attracted toward infected and uninfected hosts depending on whether they carry the pathogen or not. We would like to know what would be the implication for the long-term dynamics of our system. This talk is based on publication. We consider a system of partial differential equations with vector diffusion. For the nonspa tial model, we show that conditional vector preferences may induce bi-stability between the disease-free equilibrium and an endemic equilibrium. Backward bifurcation may also occur. For the model with diffusion, we show that bistable travelling waves may exists with posiAve or negative spreading speeds such that the disease either invades or retreats into space. When a monostable travelling wave occurs, we show that the disease spreading speed depends on conditional vectorial preferences. We illustrate the theoretical results with several simulations. We also discuss the implication of our findings in terms of control strategies. conference_item info:eu-repo/semantics/conferenceObject Conference info:eu-repo/semantics/publishedVersion http://agritrop.cirad.fr/607450/1/Abstract_SAMSA_Nov_2023_Dumont.pdf text Cirad license info:eu-repo/semantics/restrictedAccess https://agritrop.cirad.fr/mention_legale.html https://www.up.ac.za/cf-samsa2023 info:eu-repo/semantics/altIdentifier/purl/https://www.up.ac.za/cf-samsa2023 |
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Despite the fact that it is well known that vectors do not visit hosts randomly, many epidemiological models of vector-borne diseases do not take into account this biological fact. Indeed, vectors may be differentially attracted toward infected and uninfected hosts depending on whether they carry the pathogen or not. We would like to know what would be the implication for the long-term dynamics of our system. This talk is based on publication. We consider a system of partial differential equations with vector diffusion. For the nonspa tial model, we show that conditional vector preferences may induce bi-stability between the disease-free equilibrium and an endemic equilibrium. Backward bifurcation may also occur. For the model with diffusion, we show that bistable travelling waves may exists with posiAve or negative spreading speeds such that the disease either invades or retreats into space. When a monostable travelling wave occurs, we show that the disease spreading speed depends on conditional vectorial preferences. We illustrate the theoretical results with several simulations. We also discuss the implication of our findings in terms of control strategies. |
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author |
Hamelin, Frédéric Hilker, Frank M. Dumont, Yves |
spellingShingle |
Hamelin, Frédéric Hilker, Frank M. Dumont, Yves Impact of conditional vector preferences in the spatial spread of infectious diseases |
author_facet |
Hamelin, Frédéric Hilker, Frank M. Dumont, Yves |
author_sort |
Hamelin, Frédéric |
title |
Impact of conditional vector preferences in the spatial spread of infectious diseases |
title_short |
Impact of conditional vector preferences in the spatial spread of infectious diseases |
title_full |
Impact of conditional vector preferences in the spatial spread of infectious diseases |
title_fullStr |
Impact of conditional vector preferences in the spatial spread of infectious diseases |
title_full_unstemmed |
Impact of conditional vector preferences in the spatial spread of infectious diseases |
title_sort |
impact of conditional vector preferences in the spatial spread of infectious diseases |
publisher |
University of Pretoria |
url |
http://agritrop.cirad.fr/607450/ http://agritrop.cirad.fr/607450/1/Abstract_SAMSA_Nov_2023_Dumont.pdf |
work_keys_str_mv |
AT hamelinfrederic impactofconditionalvectorpreferencesinthespatialspreadofinfectiousdiseases AT hilkerfrankm impactofconditionalvectorpreferencesinthespatialspreadofinfectiousdiseases AT dumontyves impactofconditionalvectorpreferencesinthespatialspreadofinfectiousdiseases |
_version_ |
1792500676474961920 |