一类带有接种的流行病模型的全局稳定性

Acta mathematica scientia,Series A

• Articles • Previous Articles Next Articles

Global Stability of an Epidemic Model with Vaccination

Li Jianquan;Ma Zhien

Department of Applied Mathematics Department of Mathematics and Physics, Air Force Engineering University

Received:2003-10-17 Revised:2004-08-08 Online:2006-02-25 Published:2006-02-25
Contact: Li Jianquan

Abstract

Abstract: An SIRS epidemic model with vaccination is investigated in this paper. For this model, the authors assume that both the immunity periods of the removed individuals and the vaccinated individuals are fixed constants, which may be different each other. For locally asymptotical stability and globallyasymptotical stability of the disease-free equilibrium and the endemic equilibrium, sufficient conditions are obtained for this model.

Key words: Epidemic model, Vaccination, Equilibrium, Stability

CLC Number:

34K20

Li Jianquan;Ma Zhien. Global Stability of an Epidemic Model with Vaccination[J].Acta mathematica scientia,Series A, 2006, 26(1): 21-030.

Trendmd

[1]	Lv Dongting. Globally Asymptotic Stability of 2-Species Reaction-Diffusion Systems of Spatially Inhomogeneous Models [J]. Acta mathematica scientia,Series A, 2025, 45(4): 1171-1183.
[2]	Liang Qing. Existence, Uniqueness and Stability of the Global Solutions to Two Classes of Pantogragh Stochastic Functional Differential Equations with Markovian Switching [J]. Acta mathematica scientia,Series A, 2025, 45(4): 1184-1205.
[3]	Ge Chen, Chen Zhuozheng, Zhang Yu. Generalized Well-Posedness of Nash Equilibrium and Cooperative Equilibrium for Population Games with Set Payoffs [J]. Acta mathematica scientia,Series A, 2025, 45(4): 1217-1228.
[4]	Li Zhengkang. Two-Point and Four-Point Limit Cycles in Discontinuous Planar Piecewise Linear Systems [J]. Acta mathematica scientia,Series A, 2025, 45(3): 824-842.
[5]	Wu Wenbin, Ren Xue, Zhang Ran. Traveling Waves for a Discrete Diffusive Vaccination Model with Delay [J]. Acta mathematica scientia,Series A, 2025, 45(3): 858-874.
[6]	Liu Yu, Chen Guanggan, Li Shuyong. Nonlinear Stability of Traveling Waves for Stochastic Kuramoto-Sivashinsky Equation [J]. Acta mathematica scientia,Series A, 2025, 45(3): 790-806.
[7]	Liu Jia, Bao Xiongxiong. Asymptotic Stability of Pyramidal Traveling Front for Nonlocal Delayed Diffusion Equation [J]. Acta mathematica scientia,Series A, 2025, 45(1): 44-53.
[8]	Xiao Jianglong, Song Yongli, Xia Yonghui. Spatiotemporal Dynamics Induced by the Interaction Between Fear and Schooling Behavior in a Diffusive Model [J]. Acta mathematica scientia,Series A, 2024, 44(6): 1577-1594.
[9]	Tang Jun, Wu Ailong. Event-Triggered Control for a Class of Stochastic Time-Delay Nonlinear Systems [J]. Acta mathematica scientia,Series A, 2024, 44(6): 1607-1616.
[10]	Zhang Yongxue, Jia Wensheng. Stability of Solutions for Controlled Systems of Generalized Multiobjective Multi-Leader-Follower Games Under Bounded Rationality [J]. Acta mathematica scientia,Series A, 2024, 44(6): 1689-1702.
[11]	Yang Hong, Zhang Xiaoguang. A Stochastic SIS Epidemic Model on Simplex Complexes [J]. Acta mathematica scientia,Series A, 2024, 44(5): 1392-1399.
[12]	Fan Tianjiao, Feng Lichao, Yang Yanmei. Generalization of Inequality and Its Application in Additive Time-Varying Delay Systems [J]. Acta mathematica scientia,Series A, 2024, 44(5): 1335-1351.
[13]	Guo Yan, Xu Xiaochuan. Local Solvability and Stability of the Inverse Spectral Problems for the Discontinuous Sturm-Liouville Problem with the Mixed Given Data [J]. Acta mathematica scientia,Series A, 2024, 44(4): 859-870.
[14]	Pan Lijun, Lv Shun, Weng Shasha. Riemann Solution and Stability of Coupled Aw-Rascle-Zhang Model [J]. Acta mathematica scientia,Series A, 2024, 44(4): 885-895.
[15]	Ma Xiaojun, Chen Fu, Jia Zhifu. Research on a Strong Convergence Theorem for Proximal Split Feasibility Problems with Non-Lipschitz Stepsizes [J]. Acta mathematica scientia,Series A, 2024, 44(4): 1052-1065.

Global Stability of an Epidemic Model with Vaccination

PDF (PC)

Abstract

Cite this article

share this article

References

Related Articles 15

Metrics

Comments

Recommended 10