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  1. 41

    Lyapunov functions and global stability for SIR and SEIR models withage-dependent susceptibility by Andrey V. Melnik, Andrei Korobeinikov

    Published 2012-12-01
    “…We consider global asymptotic properties for the SIR and SEIRage structured models for infectious diseases where the susceptibilitydepends on the age. …”
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    Article
  2. 42

    Analysis and Simulation of SIRS Model for Dengue Fever Transmission in South Sulawesi, Indonesia by Wahidah Sanusi, Nasiah Badwi, Ahmad Zaki, Sahlan Sidjara, Nurwahidah Sari, Muhammad Isbar Pratama, Syafruddin Side

    Published 2021-01-01
    “…Methods applied for this model are building the SIRS model by modifying the SIR model, analysing the SIRS model using the Lyapunov function to prove three theorems (the existence, the free disease, and the endemic status of dengue fever), and simulating the SIRS model using the number of dengue case data in South Sulawesi by Maple. …”
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  3. 43

    Positive Recurrence and Extinction of Hybrid Stochastic SIRS Model with Nonlinear Incidence Rate by Liang Chen, Shan Wang

    Published 2021-01-01
    “…In this paper, the dynamic behavior of a class of hybrid SIRS model with nonlinear incidence is studied. Firstly, we provide the condition under which the positive recurrence exists and then give the threshold R0S for disease extinction, that is, when R0S<1, the disease will die out. …”
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  4. 44

    Dynamics of an SIR Epidemic Model with Information Variable and Limited Medical Resources Revisited by Caijuan Yan, Jianwen Jia, Zhen Jin

    Published 2014-01-01
    “…The stability of the SIR epidemic model with information variable and limited medical resources was studied. …”
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    Article
  5. 45

    The Basic Reproduction Number for the Markovian SIR-Type Epidemic Models: Comparison and Consistency by Muteb Faraj Alharthi

    Published 2022-01-01
    “…We specifically consider the Markovian SIR (Susceptible-Infective-Removed) epidemic model routinely employed in the literature with exponentially distributed infectious periods. …”
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  6. 46

    Analysis of the Diffusion SIR Epidemic Model With Networked Delay and Nonlinear Incidence Rate by Xiangyu Tang, Yujuan Chen

    Published 2024-01-01
    “…This paper is concerned with the qualitative analysis of a diffusion SIR epidemic model with networked delay and nonlinear incidence rate. …”
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  7. 47
  8. 48

    Stability and Hopf Bifurcation for a Delayed SIR Epidemic Model with Logistic Growth by Yakui Xue, Tiantian Li

    Published 2013-01-01
    “…We study a delayed SIR epidemic model and get the threshold value which determines the global dynamics and outcome of the disease. …”
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  9. 49

    Functional Coupled Systems with Generalized Impulsive Conditions and Application to a SIRS-Type Model by Feliz Minhós, Rui Carapinha

    Published 2021-01-01
    “…The main theorem is applied to a SIRS model where to the best of our knowledge, for the first time, it includes impulsive effects combined with global, local, and the asymptotic behavior of the unknown functions.…”
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  10. 50

    Permanence for a Delayed Nonautonomous SIR Epidemic Model with Density-Dependent Birth Rate by Li Yingke, Chen Liang, Wang Kai

    Published 2011-01-01
    “…Based on some well-known SIR models, a revised nonautonomous SIR epidemic model with distributed delay and density-dependent birth rate was considered. …”
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    Article
  11. 51

    A Lyapunov function and global properties for SIR and SEIR epidemiological models with nonlinear incidence by Andrei Korobeinikov, Philip K. Maini

    Published 2004-02-01
    “…Explicit Lyapunov functions for SIR and SEIR compartmentalepidemic models with nonlinear incidence of the form $\beta I^p S^q$for the case $p \leq 1$are constructed. …”
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  12. 52
  13. 53

    Sir Arthur Conan Doyle’s Sherlock Holmes Stories: Crime and Mystery from the Text to the Illustrations by Christophe Gelly

    Published 2011-03-01
    “…This essay argues that the illustrations provided for the serial publication of the Sherlock Holmes stories by Sir Arthur Conan Doyle—mainly by Sidney Paget—constitute a significant supplement that both illustrates common ideological prejudices of the nineteenth century and undermines any complete containment of evil and crime by the investigator. …”
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  16. 56

    Modeling Public Opinion Polarization in Group Behavior by Integrating SIRS-Based Information Diffusion Process by Tinggui Chen, Jiawen Shi, Jianjun Yang, Guodong Cong, Gongfa Li

    Published 2020-01-01
    “…In order to explore the evolutionary mechanism and formation process of group polarization behavior, this paper proposes a group polarization model which is integrated into the Susceptible-Infected-Recovered-Susceptible (SIRS) epidemic model. In this paper, firstly, the SIRS epidemic model and the factors of relationship strength are introduced based on the J-A model (proposed by Jager and Amblard) to enhance the information transmission and interaction among individuals. …”
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  17. 57

    A Numerical and Analytical Study of a Stochastic Epidemic SIR Model in the Light of White Noise by Shah Hussain, Elissa Nadia Madi, Hasib Khan, Mohammed S. Abdo

    Published 2022-01-01
    “…This study examines a novel SIR epidemic model that takes into account the impact of environmental white noise. …”
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  18. 58

    Existence of Traveling Waves for a Delayed SIRS Epidemic Diffusion Model with Saturation Incidence Rate by Kai Zhou, Qi-Ru Wang

    Published 2014-01-01
    “…This paper is concerned with the existence of traveling waves for a delayed SIRS epidemic diffusion model with saturation incidence rate. …”
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  19. 59

    The impact of school closures on pandemic influenza:Assessing potential repercussions using a seasonal SIR model by Sherry Towers, Katia Vogt Geisse, Chia-Chun Tsai, Qing Han, Zhilan Feng

    Published 2012-02-01
    “…When a new pandemic influenza strain has been identified, mass-production of vaccines can take several months, andantiviral drugs are expensive and usually in short supply.Social distancing measures, such as school closures, thus seem an attractive means to mitigate disease spread.However, the transmission of influenza is seasonal in nature, and as has been noted in previousstudies,a decrease in the average transmission rate in a seasonal disease modelmay result in a larger final size.In the studies presented here,we analyze a hypothetical pandemic using a SIR epidemic model with time- and age-dependent transmissionrates; using this model weassess and quantify, for the first time, thethe effect of the timing and length of widespread school closures oninfluenza pandemic final size and average peak time.…”
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  20. 60

    The Subaltern Speaks in Anna Weamys’ A Continuation of Sir Philip Sidney’s Arcadia: A Foucauldian Perspective by Merve Aydoğdu Çelik

    Published 2021-06-01
    “…This paper examines how the servant Mopsa in Anna Weamys’ A Continuation of Sir Philip Sidney’s Arcadia provides a negative answer to Gayatri Chakravorty Spivak’s question whether the subaltern can speak. …”
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