On an SEIR Epidemic Model with Vaccination of Newborns and Periodic Impulsive Vaccination with Eventual On-Line Adapted Vaccination Strategies to the Varying Levels of the Susceptible Subpopulation
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In this paper, the authors investigated a susceptible-exposed-infectious-recovered (SEIR) epidemic model with demography under two vaccination effort strategies, i.e., vaccination of newborns and periodic impulsive vaccination on the susceptible.Abstract:
This paper investigates a susceptible-exposed-infectious-recovered (SEIR) epidemic model with demography under two vaccination effort strategies. Firstly, the model is investigated under vaccination of newborns, which is fact in a direct action on the recruitment level of the model. Secondly, it is investigated under a periodic impulsive vaccination on the susceptible in the sense that the vaccination impulses are concentrated in practice in very short time intervals around a set of impulsive time instants subject to constant inter-vaccination periods. Both strategies can be adapted, if desired, to the time-varying levels of susceptible in the sense that the control efforts be increased as those susceptible levels increase. The model is discussed in terms of suitable properties like the positivity of the solutions, the existence and allocation of equilibrium points, and stability concerns related to the values of the basic reproduction number. It is proven that the basic reproduction number lies below unity, so that the disease-free equilibrium point is asymptotically stable for larger values of the disease transmission rates under vaccination controls compared to the case of absence of vaccination. It is also proven that the endemic equilibrium point is not reachable if the disease-free one is stable and that the disease-free equilibrium point is unstable if the reproduction number exceeds unity while the endemic equilibrium point is stable. Several numerical results are investigated for both vaccination rules with the option of adapting through ime the corresponding efforts to the levels of susceptibility. Such simulation examples are performed under parameterizations related to the current SARS-COVID 19 pandemic.read more
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References
More filters
Journal ArticleDOI
A contribution to the mathematical theory of epidemics
TL;DR: In this article, the authors considered the problem of finding a causal factor which appears to be adequate to account for the magnitude of the frequent epidemics of disease which visit almost every population.
A Contribution to the Mathematical Theory of Epidemics.
TL;DR: The present communication discussion will be limited to the case in which all members of the community are initially equally susceptible to the disease, and it will be further assumed that complete immunity is conferred by a single infection.
Journal ArticleDOI
Modelling the COVID-19 epidemic and implementation of population-wide interventions in Italy.
Giulia Giordano,Franco Blanchini,Raffaele Bruno,Patrizio Colaneri,Alessandro Di Filippo,Angela Di Matteo,Marta Colaneri +6 more
TL;DR: In this paper, the authors proposed a new model that predicts the course of the SARS-CoV-2 pandemic to help plan an effective control strategy, including social distancing, testing and contact tracing.
Reference EntryDOI
Nonlinear Dynamics and Chaos
TL;DR: The most exotic form of nonlinear dynamics is Chaos as mentioned in this paper, in which deterministic interactions produce apparently irregular fluctuations, and small changes in the initial state of the system are magnified through time.
Journal ArticleDOI
Modified SEIR and AI prediction of the epidemics trend of COVID-19 in China under public health interventions
Zifeng Yang,Zifeng Yang,Zhiqi Zeng,Ke Wang,Sook San Wong,Sook San Wong,Wenhua Liang,Mark Zanin,Mark Zanin,Liu Peng,Xudong Cao,Zhongqiang Gao,Zhitong Mai,Jingyi Liang,Xiaoqing Liu,Shiyue Li,Yimin Li,Feng Ye,Wei-jie Guan,Yifan Yang,Fei Li,Shengmei Luo,Yuqi Xie,Bin Liu,Zhoulang Wang,Shaobo Zhang,Yaonan Wang,Nanshan Zhong,Jianxing He +28 more
TL;DR: The implementation of control measures on January 23 2020 was indispensable in reducing the eventual COVID-19 epidemic size, and the dynamic SEIR model, trained on the 2003 SARS data, was effective in predicting the epidemic peaks and sizes.
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