Modeling Banana Xanthomonas Wilt with Protection

Banana Xanthomonas Wilt (BXW) is an infectious disease caused by Xan- thomonas campestris pv. musacearum. The model incorporates a new class of protected ba- nana 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 ba- nana 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.