Mathematical modelling and optimal control of banana black sigatoka disease

  • Authors : Agouanet, F.; Tewa, J.J.; Etoua, M.R.

  • Document type : Conference paper

  • Year of publication : 2020

  • Conference : CARI 2020: African Conference on Research in Computer Science and Applied Mathematics. hal-02926131

  • Language(s) : English

  • Abstract : In this work, we propose a mathematical pathogen-host model which focused on the epidemiological cycle of banana black leaf streak disease and which takes into account control strategies to reduce the spores production ,this mainly thanks to an differential equations system with time delay in wich, the host dynamics is coupled to that of the fungus responsible for the disease. By using optimal control theory, we show that an optimal control exists for this problem and Pontryagin's maximum principle is used to characterize an optimal control. Numerical simulations are provided to illustrate our results.


  • Open access : Yes

  • Document on publisher's site : open View article on publisher's site

  • Musalit document ID : IN200698

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