Mathematical modelling for practical application of sterile insect technique

Anguelov Roumen, Dumont Yves, Djeumen Yatat Ivric Valaire. 2019. Mathematical modelling for practical application of sterile insect technique. In : SANUM 2019: Abstracts. University of Pretoria. Pretoria : University of Pretoria, Résumé, p. 47. SANUM 2019, Pretoria, Afrique du Sud, 27 March 2019/29 March 2019.

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Abstract : Vector control, like sterile insect technique (SIT), is essential to reduce the risk of vector-borne diseases [3]. SIT control generally consists of massive releases of sterile insects in the targeted area in order to reach elimination or to lower the pest population under a certain threshold. The model presented here is minimalistic with respect to the number of parameters and variables. However, it yields the same qualitative behavior of the insect population with SIT control, as more complicated models like in [1, 2, 3]. More precisely, as in mentioned models, our minimalistic SIT model has two stable equilibria. Practically, massive releases of sterile males are only possible for a short period of time. That is why, using the bistability property, we develop a new strategy to maintain the wild population under a certain threshold, for a sustainable low level of SIT control. We illustrate our theoretical results with numerical simulations, in the case of SIT mosquito control

Mots-clés libres : Sterile insect technique, Mathematical modelling, Monotone system, Ordinary differential equation, Numerical simulations

Auteurs et affiliations

  • Anguelov Roumen, University of Pretoria (ZAF)
  • Dumont Yves, CIRAD-BIOS-UMR AMAP (ZAF) ORCID: 0000-0003-4817-685X
  • Djeumen Yatat Ivric Valaire, University of Pretoria (ZAF)

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