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. On crop vector-borne diseases. Impact of virus lifespan and contact rate on the traveling-wave speed of infective fronts. Ecological Complexity, 34 : 119-133.

https://doi.org/10.1016/j.ecocom.2017.08.002

Article de revue ; Article de recherche ; Article de revue à facteur d'impact

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Quartile : Q3, Sujet : ECOLOGY

Résumé : 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.

Mots-clés Agrovoc : modèle mathématique, maladie transmise par vecteur, transmission des maladies, vecteur de maladie, plante de culture, modèle de simulation, longévité, modélisation des cultures, épidémiologie

Mots-clés libres : Vector-borne disease, Barrier crop, Partially degenerate reaction diffusion system, Cooperative system, Traveling wave speed, Numerical simulations

Classification Agris : H20 - Maladies des plantes
U10 - Informatique, mathématiques et statistiques

Champ stratégique Cirad : Axe 4 (2014-2018) - Santé des animaux et des plantes

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