Modelling the effects of virus-resistant planting material on the transmission dynamics of banana bunchy top disease
摘要
Banana bunchy top disease (BBTD) significantly threatens banana production, considerably endangering food safety and security. Aphid vectors and the use of latently infected planting materials disseminate the disease. This paper uses a deterministic mathematical model to examine the BBTD dynamics while considering the Banana Bunchy Top Virus (BBTV)-resistance of the planting material. After model formulation, we establish the positivity and boundedness of the model solution. We derived the effective reproduction number via the next-generation matrix approach and used it to investigate the asymptotic stability of the model equilibrium points using the Lyapunov function. To support the stability results, we conducted a bifurcation analysis. The bifurcation analysis confirmed a forward bifurcation, implying that the disease-free equilibrium point is stable when the effective reproduction number is less than one and unstable when the effective reproduction number is greater than one. The endemic equilibrium point is also stable when the effective reproduction number is greater than one and unstable otherwise. Finally, we apply the fourth-order Runge-Kutta method to simulate the proposed model. One limitation of our research is the need for real data to support our findings. in this instance, we used simulated data from earlier studies to conduct numerical simulations in this study. The results revealed that replanting with BBTV-resistance planting material while the rate of removing symptomatic infected plants is