10.30495/ijm2c.2021.679835

Modeling Banana Xanthomonas Wilt with Protection

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  • Taye Faniran*1,
  • Abayomi Ayoade2,
  • Abdulahi Falade3,
  1. Department of Computer Science, Lead City University, Ibadan, Nigeria
  2. Department of Mathematics, University of Lagos, Lagos, Nigeria
  3. Department of Mathematics, African Institute for Mathematical Sciences, Mbour, Senegal

Revised: 13-06-2020

Accepted: 23-10-2020

Published in Issue 01-03-2021

How to Cite

Faniran, T., Ayoade, A., & Falade, A. (2021). Modeling Banana Xanthomonas Wilt with Protection. International Journal of Mathematical Modelling & Computations, 11(1), 1-14. https://doi.org/10.30495/ijm2c.2021.679835
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Abstract

‎Banana Xanthomonas Wilt (BXW) is an infectious disease caused by Xanthomonas campestris pv‎. ‎musacearum‎. ‎The model incorporates a new class of protected banana plants into banana plant population‎. ‎This new class are the susceptible banana plant that are treated with fertilizers‎. ‎The basic reproduction number‎, Ro , ‎is obtained using next generation matrix‎. ‎The model analysis is done and equilibrium points are analysed to establish the local and global stability of disease-free and endemic equilibrium solution‎. ‎It is shown that if the basic reproduction number‎, ‎Ro‎≤1, ‎then banana xanthomonas wilt is cleared from banana plantation and is globally asymptotically stable and if Ro>1‎, ‎the endemic equilibrium point is globally asymptotically stable and the disease persists in banana plant population‎. ‎The impact of parameters in BXW model is investigated using sensitivity analysis‎. ‎Numerical simulations are performed to justify the analytical findings‎.
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