Dynamics of fractional plant virus propagation model with influence of seasonality and intraspecific competition

Abstract

All biological forms of life rely on plants for many of their basic needs. Nonetheless, viruses can often infect plants. The ecosystem that depends on it could be destroyed as a result. An insect vector may be responsible for the virus's spread from plant to plant. A fractional order epidemic model is developed since it gives the more realistic solutions as the epidemics always persists in some or the other region and never becomes zero. The dynamics of the plant virus propagation model with effect from seasonality (PVP‐S) and intraspecific competition among predators are investigated in terms of existence of solutions, boundedness, and uniqueness. Analysis of plant virus propagation with effect from seasonality and intraspecific competition among predators in terms of fractional order is the novelty of this model. Here, we observe that the infection almost becomes zero in case of integral value, whereas it always persists as the fractional order is introduced, which is more realistic in nature. The occurrence of transcritical bifurcation for the model has been investigated. The proposed nonlinear model is numerically studied by the Adams–Bashforth–Moulton method. This study reveals the effectiveness of the numerical technique as well as the effect of the fractional order derivative on PVP‐S dynamics.