Abstract:
The stability and Hopf bifurcation of a fractional order time-delay eco-epidemiological model with stage structure is investigated. By calculating the characteristic roots of the characteristic equation and applying Routh-Hurwitz criterion, the local asymptotically stability of the predator extinction equilibrium point, the disease-free equilibrium point and endemic equilibrium point is proved, The sufficient conditions of Hopf bifurcational near the endemic equilibrium point is discussed by using bifurcation theory. Finally, the accuracy of the theoretical derivation is verified by numerical simulation results.