Modeling Banana Xanthomonas Wilt with Protection

‎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