Abstract:
In this paper, a time-fractional host-parasitoid dynamics which is regarded as
a new variant of the novel Nicholson-Bailey model is considered in the sense of the Caputo
operator. The model equation is examined for linear stability analysis to guide in ensuring
the best choice of parameters when simulating the full dynamical system. Furthermore, this
work provides a suitable numerical technique for the approximation of the Caputo fractional
derivative with order ρ ∈ (0,1]. To explore the dynamic richness of the model, numerical
results are provided for different values of α.
