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| Stability Analysis of Fractional Order Ecological Epidemiological Model with Stage Structure |
| DOU Zhongli
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| Chongqing Finance and Economics College, School of Software, Chongqing 401320, China |
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Abstract In this paper, the stability of a fractional order ecological epidemic model with stage structure and predator delay time during pregnancy was studied. By calculating the characteristic roots of the model and using Routh-hurwitz criterion, it is obtained that the predator extinction equilibrium point, disease-free equilibrium point and endemic equilibrium point are locally asymptotically stability, a sufficient condition for the generation of Hopf bifurcation near the endemic equilibrium is obtained. At the same time, the influence of fractional order on the bifurcation point decreases is discussed, and it is found that the bifurcation point of the system decreases as the order increases. Finally, the validity of the theoretical conclusion is verified by numerical simulation.
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Received: 27 November 2023
Published: 10 December 2025
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