On crop vector-borne diseases. Impact of virus lifespan and contact rate on the traveling-wave speed of infective fronts
Diseases, in particular, vector-borne diseases are very important issues in crop protection. However, despite their impact on food safety, very few mathematical models have been developed in order to improve control strategies. Motivated by existing literature, we begin by considering a temporal model of vector-borne diseases in (annual) crops. Using appropriate mathematical methods, we show the existence of threshold parameters and discuss several control strategies based on the model. Then, the model is modified to include a spatial component in order to take into account that vectors are moving. We study both theoretically and numerically the related system and other subsystems that are easier to handle using the theory of monotone dynamical systems. We show that traveling wave solutions may exist, with traveling wave speed dependent on the virus lifespan and the contact rate between the pest and the crop. Finally, we discuss the consequences in terms of control strategies.
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Subjects: | H20 - Maladies des plantes, U10 - Informatique, mathématiques et statistiques, modèle mathématique, maladie transmise par vecteur, transmission des maladies, vecteur de maladie, plante de culture, modèle de simulation, longévité, modélisation des cultures, épidémiologie, http://aims.fao.org/aos/agrovoc/c_24199, http://aims.fao.org/aos/agrovoc/c_34142, http://aims.fao.org/aos/agrovoc/c_2329, http://aims.fao.org/aos/agrovoc/c_8164, http://aims.fao.org/aos/agrovoc/c_1972, http://aims.fao.org/aos/agrovoc/c_24242, http://aims.fao.org/aos/agrovoc/c_4428, http://aims.fao.org/aos/agrovoc/c_9000024, http://aims.fao.org/aos/agrovoc/c_2615, |
Online Access: | http://agritrop.cirad.fr/586245/ http://agritrop.cirad.fr/586245/7/1-s2.0-S1476945X17300739-main%283%29.pdf |
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dig-cirad-fr-5862452024-01-29T05:41:38Z http://agritrop.cirad.fr/586245/ http://agritrop.cirad.fr/586245/ On crop vector-borne diseases. Impact of virus lifespan and contact rate on the traveling-wave speed of infective fronts. Chapwanya Michael, Dumont Yves. 2018. Ecological Complexity, 34 : 119-133.https://doi.org/10.1016/j.ecocom.2017.08.002 <https://doi.org/10.1016/j.ecocom.2017.08.002> On crop vector-borne diseases. Impact of virus lifespan and contact rate on the traveling-wave speed of infective fronts Chapwanya, Michael Dumont, Yves eng 2018 Ecological Complexity H20 - Maladies des plantes U10 - Informatique, mathématiques et statistiques modèle mathématique maladie transmise par vecteur transmission des maladies vecteur de maladie plante de culture modèle de simulation longévité modélisation des cultures épidémiologie http://aims.fao.org/aos/agrovoc/c_24199 http://aims.fao.org/aos/agrovoc/c_34142 http://aims.fao.org/aos/agrovoc/c_2329 http://aims.fao.org/aos/agrovoc/c_8164 http://aims.fao.org/aos/agrovoc/c_1972 http://aims.fao.org/aos/agrovoc/c_24242 http://aims.fao.org/aos/agrovoc/c_4428 http://aims.fao.org/aos/agrovoc/c_9000024 http://aims.fao.org/aos/agrovoc/c_2615 Diseases, in particular, vector-borne diseases are very important issues in crop protection. However, despite their impact on food safety, very few mathematical models have been developed in order to improve control strategies. Motivated by existing literature, we begin by considering a temporal model of vector-borne diseases in (annual) crops. Using appropriate mathematical methods, we show the existence of threshold parameters and discuss several control strategies based on the model. Then, the model is modified to include a spatial component in order to take into account that vectors are moving. We study both theoretically and numerically the related system and other subsystems that are easier to handle using the theory of monotone dynamical systems. We show that traveling wave solutions may exist, with traveling wave speed dependent on the virus lifespan and the contact rate between the pest and the crop. Finally, we discuss the consequences in terms of control strategies. article info:eu-repo/semantics/article Journal Article info:eu-repo/semantics/publishedVersion http://agritrop.cirad.fr/586245/7/1-s2.0-S1476945X17300739-main%283%29.pdf text Cirad license info:eu-repo/semantics/restrictedAccess https://agritrop.cirad.fr/mention_legale.html https://doi.org/10.1016/j.ecocom.2017.08.002 10.1016/j.ecocom.2017.08.002 info:eu-repo/semantics/altIdentifier/doi/10.1016/j.ecocom.2017.08.002 info:eu-repo/semantics/altIdentifier/purl/https://doi.org/10.1016/j.ecocom.2017.08.002 |
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H20 - Maladies des plantes U10 - Informatique, mathématiques et statistiques modèle mathématique maladie transmise par vecteur transmission des maladies vecteur de maladie plante de culture modèle de simulation longévité modélisation des cultures épidémiologie http://aims.fao.org/aos/agrovoc/c_24199 http://aims.fao.org/aos/agrovoc/c_34142 http://aims.fao.org/aos/agrovoc/c_2329 http://aims.fao.org/aos/agrovoc/c_8164 http://aims.fao.org/aos/agrovoc/c_1972 http://aims.fao.org/aos/agrovoc/c_24242 http://aims.fao.org/aos/agrovoc/c_4428 http://aims.fao.org/aos/agrovoc/c_9000024 http://aims.fao.org/aos/agrovoc/c_2615 H20 - Maladies des plantes U10 - Informatique, mathématiques et statistiques modèle mathématique maladie transmise par vecteur transmission des maladies vecteur de maladie plante de culture modèle de simulation longévité modélisation des cultures épidémiologie http://aims.fao.org/aos/agrovoc/c_24199 http://aims.fao.org/aos/agrovoc/c_34142 http://aims.fao.org/aos/agrovoc/c_2329 http://aims.fao.org/aos/agrovoc/c_8164 http://aims.fao.org/aos/agrovoc/c_1972 http://aims.fao.org/aos/agrovoc/c_24242 http://aims.fao.org/aos/agrovoc/c_4428 http://aims.fao.org/aos/agrovoc/c_9000024 http://aims.fao.org/aos/agrovoc/c_2615 |
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H20 - Maladies des plantes U10 - Informatique, mathématiques et statistiques modèle mathématique maladie transmise par vecteur transmission des maladies vecteur de maladie plante de culture modèle de simulation longévité modélisation des cultures épidémiologie http://aims.fao.org/aos/agrovoc/c_24199 http://aims.fao.org/aos/agrovoc/c_34142 http://aims.fao.org/aos/agrovoc/c_2329 http://aims.fao.org/aos/agrovoc/c_8164 http://aims.fao.org/aos/agrovoc/c_1972 http://aims.fao.org/aos/agrovoc/c_24242 http://aims.fao.org/aos/agrovoc/c_4428 http://aims.fao.org/aos/agrovoc/c_9000024 http://aims.fao.org/aos/agrovoc/c_2615 H20 - Maladies des plantes U10 - Informatique, mathématiques et statistiques modèle mathématique maladie transmise par vecteur transmission des maladies vecteur de maladie plante de culture modèle de simulation longévité modélisation des cultures épidémiologie http://aims.fao.org/aos/agrovoc/c_24199 http://aims.fao.org/aos/agrovoc/c_34142 http://aims.fao.org/aos/agrovoc/c_2329 http://aims.fao.org/aos/agrovoc/c_8164 http://aims.fao.org/aos/agrovoc/c_1972 http://aims.fao.org/aos/agrovoc/c_24242 http://aims.fao.org/aos/agrovoc/c_4428 http://aims.fao.org/aos/agrovoc/c_9000024 http://aims.fao.org/aos/agrovoc/c_2615 Chapwanya, Michael Dumont, Yves On crop vector-borne diseases. Impact of virus lifespan and contact rate on the traveling-wave speed of infective fronts |
description |
Diseases, in particular, vector-borne diseases are very important issues in crop protection. However, despite their impact on food safety, very few mathematical models have been developed in order to improve control strategies. Motivated by existing literature, we begin by considering a temporal model of vector-borne diseases in (annual) crops. Using appropriate mathematical methods, we show the existence of threshold parameters and discuss several control strategies based on the model. Then, the model is modified to include a spatial component in order to take into account that vectors are moving. We study both theoretically and numerically the related system and other subsystems that are easier to handle using the theory of monotone dynamical systems. We show that traveling wave solutions may exist, with traveling wave speed dependent on the virus lifespan and the contact rate between the pest and the crop. Finally, we discuss the consequences in terms of control strategies. |
format |
article |
topic_facet |
H20 - Maladies des plantes U10 - Informatique, mathématiques et statistiques modèle mathématique maladie transmise par vecteur transmission des maladies vecteur de maladie plante de culture modèle de simulation longévité modélisation des cultures épidémiologie http://aims.fao.org/aos/agrovoc/c_24199 http://aims.fao.org/aos/agrovoc/c_34142 http://aims.fao.org/aos/agrovoc/c_2329 http://aims.fao.org/aos/agrovoc/c_8164 http://aims.fao.org/aos/agrovoc/c_1972 http://aims.fao.org/aos/agrovoc/c_24242 http://aims.fao.org/aos/agrovoc/c_4428 http://aims.fao.org/aos/agrovoc/c_9000024 http://aims.fao.org/aos/agrovoc/c_2615 |
author |
Chapwanya, Michael Dumont, Yves |
author_facet |
Chapwanya, Michael Dumont, Yves |
author_sort |
Chapwanya, Michael |
title |
On crop vector-borne diseases. Impact of virus lifespan and contact rate on the traveling-wave speed of infective fronts |
title_short |
On crop vector-borne diseases. Impact of virus lifespan and contact rate on the traveling-wave speed of infective fronts |
title_full |
On crop vector-borne diseases. Impact of virus lifespan and contact rate on the traveling-wave speed of infective fronts |
title_fullStr |
On crop vector-borne diseases. Impact of virus lifespan and contact rate on the traveling-wave speed of infective fronts |
title_full_unstemmed |
On crop vector-borne diseases. Impact of virus lifespan and contact rate on the traveling-wave speed of infective fronts |
title_sort |
on crop vector-borne diseases. impact of virus lifespan and contact rate on the traveling-wave speed of infective fronts |
url |
http://agritrop.cirad.fr/586245/ http://agritrop.cirad.fr/586245/7/1-s2.0-S1476945X17300739-main%283%29.pdf |
work_keys_str_mv |
AT chapwanyamichael oncropvectorbornediseasesimpactofviruslifespanandcontactrateonthetravelingwavespeedofinfectivefronts AT dumontyves oncropvectorbornediseasesimpactofviruslifespanandcontactrateonthetravelingwavespeedofinfectivefronts |
_version_ |
1792499392642547712 |