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A multi-seasonal model of the dynamics of banana plant-parasitic nematodes

Abstract : In this paper, a hybrid multi-seasonal model is proposed to describe the action of Radopholus similis with banana plants' roots. On one side a general Holling type II predator-prey model with stage structuration of the predators is coupled including a host-parasite dynamic with a parasite free living stage. On the other side, at a certain period called inter-seasonal time, a decay equation is given, consisting essentially in the exponential decay of free living pest when hosts are lacking. The switching between these two continuous systems is given by discrete laws and the switchings are repeated season after season. The proposed model is reduced and analysed and relevant constants like the basic reproduction number and the minimal inter-season duration for pest eradication are computed. Numerical simulation are provided.
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https://hal.inria.fr/hal-01871510
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Submitted on : Monday, September 10, 2018 - 11:47:45 PM
Last modification on : Tuesday, December 8, 2020 - 3:45:07 AM
Long-term archiving on: : Tuesday, December 11, 2018 - 5:01:15 PM

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  • HAL Id : hal-01871510, version 1
  • PRODINRA : 443303

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Israël Tankam Chedjou, Suzanne Touzeau, Frédéric Grognard, Ludovic Mailleret, Jean-Jules Tewa. A multi-seasonal model of the dynamics of banana plant-parasitic nematodes. CARI’2018 - 14. Colloque Africain sur la Recherche en Informatique et en Mathématiques Appliquées, Oct 2018, Stellenbosch, South Africa. ⟨hal-01871510⟩

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