期刊
JOURNAL OF BIOLOGICAL DYNAMICS
卷 13, 期 1, 页码 461-480出版社
TAYLOR & FRANCIS LTD
DOI: 10.1080/17513758.2019.1631965
关键词
Delays; Hopf-bifurcation; stability; SEIR model; periodic solution
资金
- University Top-notch Scholarship Program of Anhui Province [gxbjZD49]
- Bengbu University National Research Fund Cultivation Project [2017GJPY03]
A delayed SEIR epidemic model with saturated incidence and saturated treatment function is considered in this paper. Sufficient conditions for the existence of local Hopf bifurcation are established by regarding the possible combination of the two delays as the bifurcation parameter. General formula for the direction, period and stability of the bifurcated periodic solutions are derived by using the normal form method and the centre manifold theory. Finally, some numerical simulations are given to illustrate the obtained results.
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