Modeling Banana Xanthomonas Wilt with Protection

International Journal of Mathematical Modelling & Computations

مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 20 بهمن 1399  

نوع مقاله: Full Length Article

نویسندگان

Taye S Faniran ¹؛ Abayomi Ayoade²؛ Abdulahi Falade³

¹Oba Otudeko, Toll Gate

²University of Lagos, Lagos

³African Institute for Mathematical Sciences

چکیده

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
ndings.

کلیدواژه‌ها

stability of periodic orbits؛ treated susceptible plant؛ NPK fertilizers, Banana Xanthomonas Wilt