Dynamic Behavior of Infectious Disease in Plant Population Subjected to Fractional Derivatives

In the present paper, a mathematical model for plant disease is developed. The biological feasibility of the system is clearly shown such as positivity and the invariant region. The existence and uniqueness solution of the system was lucidly analyzed by applying fractional derivatives. The model was linearized at equilibrium point in a compartmental form. Basic reproduction number Ro was calculated to determine the stability of each equilibrium point. When Ro < 1, the disease free equilibrium point is local asymptotical stability and if Ro is greater than unity, the endemic equilibrium point is stable under some biological feasible condition, respectively. Furthermore, the key parameters that drive the transmissions of plant disease were identified. To show this the sensitivity analysis of the developed model was carried out. © The Author(s), under exclusive licence to Springer Nature India Private Limited 2025.