Modeling Banana Xanthomonas Wilt with Protection

Document Type : Full Length Article

Authors

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

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

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

Abstract

‎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 findings‎.

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