Long-term dynamics of a q-deformed discrete susceptible–infected–susceptible epidemic model with delay
The main thrust of this paper is to consider a delayed q-deformed discrete susceptible–infected–susceptible (SIS) epidemic model. Parametric conditions on the local stability of the disease-free fixed point and the endemic fixed points are obtained. A codimension-one bifurcation analysis at the fixed points of the model is discussed. The model has a variety of bifurcations such as flip, transcritical, and pitchfork bifurcations. Numerical simulations including trajectories, bifurcation diagrams, maximal Lyapunov exponent, and phase portraits are illustrated to verify the obtained analytical results. It has been noticed that introducing the delay in the absence of deformations recovers the chaotic behaviour of the model. Meanwhile, introducing both deformations and delay suppress the chaotic behaviour of the model. The disease will be eradicated by increasing the value of bothdeformation and delay strength parameters.
Volume 95, 2021
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