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Modeling Banana Xanthomonas Wilt with Protection

عنوان مقاله: Modeling Banana Xanthomonas Wilt with Protection
شناسه ملی مقاله: JR_IJMAC-11-1_001
منتشر شده در در سال 1400
مشخصات نویسندگان مقاله:

Taye Faniran - Department of Computer Science, Lead City University, Ibadan, Nigeria
Abayomi Ayoade - Department of Mathematics, University of Lagos, Lagos, Nigeria
Abdulahi Falade - Department of Mathematics, African Institute for Mathematical Sciences, Mbour, Senegal

خلاصه مقاله:
‎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.

کلمات کلیدی:
stability of periodic orbits, treated susceptible plant, NPK fertilizers, ‎Banana Xanthomonas wilt‎

صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1589942/