IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i7p1037-d778484.html
   My bibliography  Save this article

Analyzing an Epidemic of Human Infections with Two Strains of Zoonotic Virus

Author

Listed:
  • Yongxue Chen

    (College of Computer and Information Sciences, Fujian Agriculture and Forestry University, Fuzhou 350002, China)

  • Hui Zhang

    (College of Computer and Information Sciences, Fujian Agriculture and Forestry University, Fuzhou 350002, China)

  • Jingyu Wang

    (College of Computer and Information Sciences, Fujian Agriculture and Forestry University, Fuzhou 350002, China)

  • Cheng Li

    (College of Computer and Information Sciences, Fujian Agriculture and Forestry University, Fuzhou 350002, China)

  • Ning Yi

    (College of Computer and Information Sciences, Fujian Agriculture and Forestry University, Fuzhou 350002, China)

  • Yongxian Wen

    (College of Computer and Information Sciences, Fujian Agriculture and Forestry University, Fuzhou 350002, China)

Abstract

Due to the existence and variation of various viruses, an epidemic in which different strains spread at the same time will occur. here, an avian–human epidemic model with two strain viruses are established and analyzed. Both theoretical and simulation results reveal that the mixed infections intensify the epidemic and the dynamics become more complex and sensitive. There are six equilibria. The trivial equilibrium point is a high-order singular point and will undergo the transcritical bifurcations to bifurcate three equilibria. The existence and stability of equilibria mainly depend on five thresholds. A bifurcation portrait for the existence and stability of equilibria is presented. Simulations suggest that the key control measure is to develop the identification technology to eliminate the poultry infected with a high pathogenic virus preferentially, then the infected poultry with a low pathogenic virus in the recruitment and on farms. Controlling contact between human and poultry can effectively restrain the epidemic and controlling contagions in poultry can avoid great infection in humans.

Suggested Citation

  • Yongxue Chen & Hui Zhang & Jingyu Wang & Cheng Li & Ning Yi & Yongxian Wen, 2022. "Analyzing an Epidemic of Human Infections with Two Strains of Zoonotic Virus," Mathematics, MDPI, vol. 10(7), pages 1-27, March.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:7:p:1037-:d:778484
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/7/1037/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/10/7/1037/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Xing, Yi & Song, Lipeng & Sun, Gui-Quan & Jin, Zhen & Zhang, Juan, 2017. "Assessing reappearance factors of H7N9 avian influenza in China," Applied Mathematics and Computation, Elsevier, vol. 309(C), pages 192-204.
    2. Kuddus, Md Abdul & McBryde, Emma S. & Adekunle, Adeshina I. & White, Lisa J. & Meehan, Michael T., 2021. "Mathematical analysis of a two-strain disease model with amplification," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
    3. Li, Hui-Jia & Xu, Wenzhe & Song, Shenpeng & Wang, Wen-Xuan & Perc, Matjaž, 2021. "The dynamics of epidemic spreading on signed networks," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    4. Yun Li & Peng Qin & Juping Zhang, 2018. "Dynamics Analysis of Avian Influenza A(H7N9) Epidemic Model," Discrete Dynamics in Nature and Society, Hindawi, vol. 2018, pages 1-12, May.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Lili Kong & Luping Li & Shugui Kang & Fu Chen, 2023. "Dynamic Behavior of a Stochastic Avian Influenza Model with Two Strains of Zoonotic Virus," Mathematics, MDPI, vol. 11(19), pages 1-21, October.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Chen, Dandan & Zheng, Muhua & Zhao, Ming & Zhang, Yu, 2018. "A dynamic vaccination strategy to suppress the recurrent epidemic outbreaks," Chaos, Solitons & Fractals, Elsevier, vol. 113(C), pages 108-114.
    2. Azamir, Bouchaib & Bennis, Driss & Michel, Bertrand, 2022. "A simplified algorithm for identifying abnormal changes in dynamic networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 607(C).
    3. Wu, Yong-Ping & Zhu, Chun-yangzi & Feng, Guo-Lin & Li, B. Larry, 2018. "Mathematical modeling of Fog-Haze evolution," Chaos, Solitons & Fractals, Elsevier, vol. 107(C), pages 1-4.
    4. Nie, Yanyi & Zhong, Xiaoni & Lin, Tao & Wang, Wei, 2022. "Homophily in competing behavior spreading among the heterogeneous population with higher-order interactions," Applied Mathematics and Computation, Elsevier, vol. 432(C).
    5. Nie, Yanyi & Zhong, Xiaoni & Lin, Tao & Wang, Wei, 2023. "Pathogen diversity in meta-population networks," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
    6. Guo, Zun-Guang & Sun, Gui-Quan & Wang, Zhen & Jin, Zhen & Li, Li & Li, Can, 2020. "Spatial dynamics of an epidemic model with nonlocal infection," Applied Mathematics and Computation, Elsevier, vol. 377(C).
    7. Bekiros, Stelios & Kouloumpou, Dimitra, 2020. "SBDiEM: A new mathematical model of infectious disease dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 136(C).
    8. Liu, Chen & Wang, Fang-Guang & Xue, Qiang & Li, Li & Wang, Zhen, 2022. "Pattern formation of a spatial vegetation system with root hydrotropism," Applied Mathematics and Computation, Elsevier, vol. 420(C).
    9. Ma, Jinlong & Wang, Peng & An, Zishuo, 2023. "The influence of layered community network structure on traffic capacity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 626(C).
    10. M., Pitchaimani & M., Brasanna Devi, 2020. "Random effects in HIV infection model at Eclipse stage," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 554(C).
    11. Gashirai, Tinashe B. & Musekwa-Hove, Senelani D. & Lolika, Paride O. & Mushayabasa, Steady, 2020. "Global stability and optimal control analysis of a foot-and-mouth disease model with vaccine failure and environmental transmission," Chaos, Solitons & Fractals, Elsevier, vol. 132(C).
    12. Gholami, Maryam & Sheikhahmadi, Amir & Khamforoosh, Keyhan & Jalili, Mahdi, 2022. "Overlapping community detection in networks based on Neutrosophic theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 598(C).
    13. Li, Minlan & Liu, Yan-Ping & Han, Yanyan & Wang, Rui-Wu, 2022. "Environmental heterogeneity unifies the effect of spatial structure on the altruistic cooperation in game-theory paradigms," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).
    14. Li, Can & Guo, Zun-Guang & Zhang, Zhi-Yu, 2017. "Transmission dynamics of a brucellosis model: Basic reproduction number and global analysis," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 161-172.
    15. Jiang, Zhi-Xiang & Hu, Zhao-Long & Huang, Faliang, 2024. "Source localization in signed networks based on dynamic message passing algorithm," Chaos, Solitons & Fractals, Elsevier, vol. 188(C).
    16. Sui, Xin & Li, Liang, 2018. "Guarantee network model and risk contagion," Chaos, Solitons & Fractals, Elsevier, vol. 106(C), pages 323-329.
    17. Wen, Haijun & Hou, Shiwang & Liu, Zhaohua & Liu, Yongjiang, 2017. "An optimization algorithm for integrated remanufacturing production planning and scheduling system," Chaos, Solitons & Fractals, Elsevier, vol. 105(C), pages 69-76.
    18. Ni, Xuelian & Xiong, Fei & Pan, Shirui & Chen, Hongshu & Wu, Jia & Wang, Liang, 2023. "How heterogeneous social influence acts on human decision-making in online social networks," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    19. Biswas, Santanu, 2017. "Mathematical modeling of Visceral Leishmaniasis and control strategies," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 546-556.
    20. Lv, Laishui & Bardou, Dalal & Hu, Peng & Liu, Yanqiu & Yu, Gaohang, 2022. "Graph regularized nonnegative matrix factorization for link prediction in directed temporal networks using PageRank centrality," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:10:y:2022:i:7:p:1037-:d:778484. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.