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  1. 21

    Analysis of a Delayed SIR Model with Nonlinear Incidence Rate by Jin-Zhu Zhang, Zhen Jin, Quan-Xing Liu, Zhi-Yu Zhang

    Published 2008-01-01
    “…An SIR epidemic model with incubation time and saturated incidence rate is formulated, where the susceptibles are assumed to satisfy the logistic equation and the incidence term is of saturated form with the susceptible. …”
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    Article
  2. 22

    Suretyship in the Teaching of Ben Sira (Sir 29:14–20) by Andrzej Piwowar

    Published 2025-01-01
    “…The main part of the article is devoted to the exegetical analysis of Sir 29:14–20 based on the historical-critical method, taking into account elements of syntactic and semantic analysis. …”
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    Article
  3. 23

    Parameter Estimation on a Stochastic SIR Model with Media Coverage by Changguo Li, Yongzhen Pei, Meixia Zhu, Yue Deng

    Published 2018-01-01
    “…We here focus on estimating the parameters in the transmission rate based on a stochastic SIR epidemic model with media coverage. In order to reduce the computational load, the Newton-Raphson algorithm and Markov Chain Monte Carlo (MCMC) technique are incorporated with maximum likelihood estimation. …”
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    Article
  4. 24

    Dynamics of an ultra-discrete SIR epidemic model with time delay by Masaki Sekiguchi, Emiko Ishiwata, Yukihiko Nakata

    Published 2018-05-01
    “…We propose an ultra-discretization for an SIR epidemic model with time delay. It is proven that the ultra-discrete model has a threshold property concerning global attractivity of equilibria as shown in differential and difference equation models. …”
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    Article
  5. 25

    Nonlinear Pulse Vaccination in an SIR Epidemic Model with Resource Limitation by Wenjie Qin, Sanyi Tang, Robert A. Cheke

    Published 2013-01-01
    “…Here we propose and analyse an SIR epidemic model with a nonlinear pulse vaccination to examine how a limited vaccine resource affects the transmission and control of infectious diseases, in particular emerging infectious diseases. …”
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    Article
  6. 26

    The Exact Solutions of a Diffusive SIR Model via Symmetry Groups by R. Naz, A. G. Johnpillai, F. M. Mahomed

    Published 2024-01-01
    “…The focus of this paper is to investigate the exact solutions of a diffusive susceptible-infectious-recovered (SIR) epidemic model, characterized by a nonlinear incidence. …”
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    Article
  7. 27

    Stability Analysis of SIRS Model considering Pulse Vaccination and Elimination Disturbance by Yanli Ma, Xuewu Zuo

    Published 2024-01-01
    “…In this paper, we consider pulse vaccination and pulse elimination strategies at the same time and establish an SIRS epidemic model with standard incidence. Firstly, according to the stroboscopic mapping method of the discrete dynamical system, the disease-free T periodic solution of the model under the condition of pulse vaccination and pulse elimination is obtained. …”
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    Article
  8. 28

    The Threshold of a Stochastic SIRS Model with Vertical Transmission and Saturated Incidence by Chunjuan Zhu, Guangzhao Zeng, Yufeng Sun

    Published 2017-01-01
    “…The threshold of a stochastic SIRS model with vertical transmission and saturated incidence is investigated. …”
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    Article
  9. 29

    An SIR Epidemic Model with Time Delay and General Nonlinear Incidence Rate by Mingming Li, Xianning Liu

    Published 2014-01-01
    “…An SIR epidemic model with nonlinear incidence rate and time delay is investigated. …”
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    Article
  10. 30

    Global stability of an $SIR$ epidemic model with delay and general nonlinear incidence by C. Connell McCluskey

    Published 2010-09-01
    “…An SIR model with distributed delay and a general incidence function isstudied. …”
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    Article
  11. 31

    Threshold dynamics of a periodic SIR model with delay in an infected compartment by Zhenguo Bai

    Published 2014-12-01
    “…For this reason, we investigate the dynamicalbehavior of a periodic SIR model with delay in an infectedcompartment. …”
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    Article
  12. 32

    The Effect of Pulse Vaccination and Treatment on SIR Epidemic Model with Media Impact by Zhi-Long He, Lin-Fei Nie

    Published 2015-01-01
    “…We propose a novel SIR epidemic dynamical control model with media impact, where the state dependent pulse vaccination and medication treatment control strategies are being introduced to prevent the spread of disease at different control threshold values. …”
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    Article
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    Sir James Lighthill and modern fluid mechanics: a memorial tribute by Lokenath Debnath

    Published 1999-01-01
    “…This memorial tribute commemorates Sir James Lighthill the man and the mathematical scientist. …”
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    Article
  16. 36

    A SIRS Epidemic Model Incorporating Media Coverage with Random Perturbation by Wenbin Liu

    Published 2013-01-01
    “…We investigate the complex dynamics of a SIRS epidemic model incorporating media coverage with random perturbation. …”
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    Article
  17. 37
  18. 38

    Dynamical Analysis of SIR Epidemic Model with Nonlinear Pulse Vaccination and Lifelong Immunity by Wencai Zhao, Juan Li, Xinzhu Meng

    Published 2015-01-01
    “…SIR epidemic model with nonlinear pulse vaccination and lifelong immunity is proposed. …”
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    Article
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