On crop vector-borne diseases. Impact of virus lifespan and contact rate on the traveling-wave speed of infective fronts
| dc.contributor.author | Chapwanya, Michael | |
| dc.contributor.author | Dumont, Yves | |
| dc.date.accessioned | 2018-01-24T12:40:11Z | |
| dc.date.issued | 2018-05 | |
| dc.description.abstract | 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. | en_ZA |
| dc.description.department | Mathematics and Applied Mathematics | en_ZA |
| dc.description.embargo | 2019-05-01 | |
| dc.description.librarian | hj2018 | en_ZA |
| dc.description.sponsorship | YD would like to thank the PHC PROTEA program no33879 that supported partly this work. MC acknowledges the support of the South African Research Chairs Initiatives (SARChI Chair) in Mathematical Models and Methods in Bioengineering and Biosciences. | en_ZA |
| dc.description.uri | http://www.elsevier.com/locate/ecocom | en_ZA |
| dc.identifier.citation | Chapwanya, M. & Dumont, Y. 2018, 'On crop vector-borne diseases. Impact of virus lifespan and contact rate on the traveling-wave speed of infective fronts', Ecological Complexity, vol. 34, pp. 119-133. | en_ZA |
| dc.identifier.issn | 1476-945X (print) | |
| dc.identifier.issn | 1476-9840 (online) | |
| dc.identifier.other | 10.1016/j.ecocom.2017.08.002 | |
| dc.identifier.uri | http://hdl.handle.net/2263/63733 | |
| dc.language.iso | en | en_ZA |
| dc.publisher | Elsevier | en_ZA |
| dc.rights | © 2017 Elsevier B.V. All rights reserved. Notice : this is the author’s version of a work that was accepted for publication in Ecological Complexity. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. A definitive version was subsequently published in Ecological Complexity, vol. vol. 34, pp. 119-133, 2018, doi : 10.1016/j.ecocom.2017.08.002. | en_ZA |
| dc.subject | Numerical simulations | en_ZA |
| dc.subject | Traveling wave speed | en_ZA |
| dc.subject | Cooperative system | en_ZA |
| dc.subject | Partially degenerate reaction diffusion system | en_ZA |
| dc.subject | Barrier crop | en_ZA |
| dc.subject | Vector-borne disease | en_ZA |
| dc.title | On crop vector-borne diseases. Impact of virus lifespan and contact rate on the traveling-wave speed of infective fronts | en_ZA |
| dc.type | Postprint Article | en_ZA |