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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 ![]() | ||
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 | ||
آمار تعداد مشاهده مقاله: 11 |