Modeling Banana Xanthomonas Wilt with Protection

International Journal of Mathematical Modelling & Computations

مقاله 1، دوره 11، 1 (WINTER) - شماره پیاپی 41، خرداد 2021، صفحه 1-14   

نوع مقاله: Full Length Article

شناسه دیجیتال (DOI): 10.30495/ijm2c.2021.679835

نویسندگان

Taye S Faniran^{* 1}؛ Abayomi Ayoade²؛ Abdulahi Falade³

¹Department of Computer Science, Lead City University, Ibadan, Nigeria

²Department of Mathematics, University of Lagos, Lagos, Nigeria

³Department of Mathematics, African Institute for Mathematical Sciences, Mbour, Senegal

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, R_o , ‎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, ‎R_o‎≤1, ‎then banana xanthomonas wilt is cleared from banana plantation and is globally asymptotically stable and if R_o>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.

کلیدواژه‌ها

Stability of periodic orbits؛ Treated susceptible plant؛ NPK fertilizers؛ ‎Banana Xanthomonas wilt‎