Modelling and control of a banana soilborne pest in a multi-seasonal framework

Autor: Suzanne Touzeau, Israël Tankam-Chedjou, Jean Jules Tewa, Frédéric Grognard, Ludovic Mailleret
Přispěvatelé: Biological control of artificial ecosystems (BIOCORE), Inria Sophia Antipolis - Méditerranée (CRISAM), Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Laboratoire d'océanographie de Villefranche (LOV), Institut national des sciences de l'Univers (INSU - CNRS)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Institut de la Mer de Villefranche (IMEV), Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Institut national des sciences de l'Univers (INSU - CNRS)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Institut de la Mer de Villefranche (IMEV), Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement (INRAE), Laboratoire International de Recherche en Informatique et Mathématiques Appliquées (LIRIMA), Université de Yaoundé I-Université Badji Mokhtar - Annaba [Annaba] (UBMA)-Institut National de Recherche en Informatique et en Automatique (Inria)-Université Joseph Ki-Zerbo [Ouagadougou] (UJZK)-Université d'Antananarivo-Université Gaston Bergé Sénégal-Centre National de la Recherche Scientifique et Technologique (CNRST), Department of Mathematics [Yaoundé], University of Yaoundé [Cameroun], Institut Sophia Agrobiotech (ISA), Université Nice Sophia Antipolis (... - 2019) (UNS), COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS)-Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement (INRAE)-Université Côte d'Azur (UCA), National Advanced School of Engineering (University of Yaounde I), EPITAG, an Inria Associate team part of the LIRIMA, EMS-Simons program for Africa, EPITAG, Université de Yaoundé I-Université Badji Mokhtar Annaba (UBMA)-Institut National de Recherche en Informatique et en Automatique (Inria)-Université Joseph Ki-Zerbo [Ouagadougou] (UJZK)-Université d'Antananarivo-Université Gaston Bergé Sénégal-Centre National de la Recherche Scientifique et Technologique (CNRST), Département de Mathématiques Université de Yaoundé 1 = Department of Mathematics [Yaoundé, Cameroon], Université de Yaoundé I, Université Nice Sophia Antipolis (1965 - 2019) (UNS)
Jazyk: angličtina
Rok vydání: 2020
Předmět:
0106 biological sciences
Statistics and Probability
Integrated pest management
Nematoda
Epidemiological modelling
[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS]
medicine.disease_cause
01 natural sciences
Free solution
Models
Biological
Plant Roots
General Biochemistry
Genetics and Molecular Biology
Infestation
Radopholus similis
medicine
Animals
Singular perturbation
Semi-discrete model
Mathematics
2. Zero hunger
General Immunology and Microbiology
biology
Plant roots
Crop Protection
Applied Mathematics
fungi
food and beverages
Musa
General Medicine
Pesticide
biology.organism_classification
Pest management
[INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation
010601 ecology
Agronomy
Modeling and Simulation
PEST analysis
Pest Control
Host-parasite interactions
General Agricultural and Biological Sciences
Cropping
Stability
Singular * Corresponding author
010606 plant biology & botany
Zdroj: Mathematical Biosciences
Mathematical Biosciences, Elsevier, 2020, 322, pp.108324. ⟨10.1016/j.mbs.2020.108324⟩
Mathematical Biosciences, 2020, 322, pp.108324. ⟨10.1016/j.mbs.2020.108324⟩
ISSN: 0025-5564
DOI: 10.1016/j.mbs.2020.108324⟩
Popis: International audience; We study the infestation dynamics of banana or plantain plants by Radopholus similis, a plant-parasitic nematode that causes severe damages. Two control strategies are implemented in our model: pesticides, which are widely used, and fallows, which are more environmentally friendly. To represent the host-parasite dynamics, two semi-discrete models are proposed. During each cropping season, free nematodes enter the plant roots, on which they feed and reproduce. At the end of the cropping season, fruits are harvested. In the first model, the parent plant is cut down to be replaced by one of its suckers and pesticides are applied. In the second model, the parent plant is uprooted and a fallow period is introduced, inducing the decay of the free pest populations; at the beginning of the next cropping season, a pest-free vitroplant is planted. For both models, the effective reproduction number of pests is computed, assuming that the infestation dynamics are fast compared to the other processes, which leads to the model order reduction. Conditions on the pesticide load or the fallow duration are then derived to ensure the stability of the periodic pest free solution. Finally, numerical simulations illustrate these theoretical results.
Databáze: OpenAIRE
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