Modeling Banana Xanthomonas Wilt with Protection
Publish Year: 1400
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJMAC-11-1_001
تاریخ نمایه سازی: 27 دی 1401
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≤۱, then banana xanthomonas wilt is cleared from banana plantation and is globally asymptotically stable and if Ro>۱, 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.
Keywords:
stability of periodic orbits , treated susceptible plant , NPK fertilizers , Banana Xanthomonas wilt
Authors
Taye Faniran
Department of Computer Science, Lead City University, Ibadan, Nigeria
Abayomi Ayoade
Department of Mathematics, University of Lagos, Lagos, Nigeria
Abdulahi Falade
Department of Mathematics, African Institute for Mathematical Sciences, Mbour, Senegal