IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v133y2020ics0960077920300473.html
   My bibliography  Save this article

Vaccination and vector control effect on dengue virus transmission dynamics: Modelling and simulation

Author

Listed:
  • Abidemi, A.
  • Abd Aziz, M.I.
  • Ahmad, R.

Abstract

This paper presents a two-strain compartmental dengue model with variable humans and mosquitoes populations sizes. The model incorporates two control measures: Dengvaxia vaccine and insecticide (adulticide) to forecast the transmission and effective control strategy for dengue in Madeira Island if there is a new outbreak with a different virus serotype after the first outbreak in 2012. The basic reproduction number, R0=max{R01,R0j}, associated with the model is computed using the next generation matrix operator. The disease-free equilibrium is found to be locally asymptotically stable when both R01,R0j<1, but unstable otherwise. The global asymptotic stability of the model is derived using the comparison theorem. Sensitivity analysis is carried out on the model parameters. The results of the analysis show that mosquito biting and death rates are the most sensitive parameters. Three strategies: the use of Dengvaxia vaccine only, the use of adulticide only, and the combination of Dengvaxia vaccine and adulticide, are considered for the control implementation under two scenarios (less and more aggressive cases). The numerical results show that a strategy which is based on Dengvaxia vaccine and adulticide is the most effective strategy for controlling dengue disease transmission in both scenarios among the considered strategies.

Suggested Citation

  • Abidemi, A. & Abd Aziz, M.I. & Ahmad, R., 2020. "Vaccination and vector control effect on dengue virus transmission dynamics: Modelling and simulation," Chaos, Solitons & Fractals, Elsevier, vol. 133(C).
    • Handle: RePEc:eee:chsofr:v:133:y:2020:i:c:s0960077920300473
    DOI: 10.1016/j.chaos.2020.109648
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077920300473
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2020.109648?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Cai, Liming & Guo, Shumin & Li, XueZhi & Ghosh, Mini, 2009. "Global dynamics of a dengue epidemic mathematical model," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2297-2304.
    2. Miranda Chan & Michael A Johansson, 2012. "The Incubation Periods of Dengue Viruses," PLOS ONE, Public Library of Science, vol. 7(11), pages 1-7, November.
    3. Gerhart Knerer & Christine Currie & Sally Brailsford, 2015. "Impact of combined vector-control and vaccination strategies on transmission dynamics of dengue fever: a model-based analysis," Health Care Management Science, Springer, vol. 18(2), pages 205-217, June.
    4. Anggriani, N. & Tasman, H. & Ndii, M.Z. & Supriatna, A.K. & Soewono, E. & Siregar, E, 2019. "The effect of reinfection with the same serotype on dengue transmission dynamics," Applied Mathematics and Computation, Elsevier, vol. 349(C), pages 62-80.
    5. Tewa, Jean Jules & Dimi, Jean Luc & Bowong, Samuel, 2009. "Lyapunov functions for a dengue disease transmission model," Chaos, Solitons & Fractals, Elsevier, vol. 39(2), pages 936-941.
    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. Tay, Chai Jian & Fakhruddin, Muhammad & Fauzi, Ilham Saiful & Teh, Su Yean & Syamsuddin, Muhammad & Nuraini, Nuning & Soewono, Edy, 2022. "Dengue epidemiological characteristic in Kuala Lumpur and Selangor, Malaysia," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 194(C), pages 489-504.
    2. Addai, Emmanuel & Zhang, Lingling & Ackora-Prah, Joseph & Gordon, Joseph Frank & Asamoah, Joshua Kiddy K. & Essel, John Fiifi, 2022. "Fractal-fractional order dynamics and numerical simulations of a Zika epidemic model with insecticide-treated nets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 603(C).
    3. Abidemi, Afeez & Ackora-Prah, Joseph & Fatoyinbo, Hammed Olawale & Asamoah, Joshua Kiddy K., 2022. "Lyapunov stability analysis and optimization measures for a dengue disease transmission model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 602(C).
    4. Malik, Hafiz Abid Mahmood & Abid, Faiza & Wahiddin, Mohamed Ridza & Waqas, Ahmad, 2021. "Modeling of internal and external factors affecting a complex dengue network," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).
    5. Abidemi, Afeez & Owolabi, Kolade M. & Pindza, Edson, 2022. "Modelling the transmission dynamics of Lassa fever with nonlinear incidence rate and vertical transmission," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 597(C).

    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. Tay, Chai Jian & Fakhruddin, Muhammad & Fauzi, Ilham Saiful & Teh, Su Yean & Syamsuddin, Muhammad & Nuraini, Nuning & Soewono, Edy, 2022. "Dengue epidemiological characteristic in Kuala Lumpur and Selangor, Malaysia," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 194(C), pages 489-504.
    2. Saha, Pritam & Sikdar, Gopal Chandra & Ghosh, Jayanta Kumar & Ghosh, Uttam, 2023. "Disease dynamics and optimal control strategies of a two serotypes dengue model with co-infection," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 209(C), pages 16-43.
    3. Srivastav, Akhil Kumar & Ghosh, Mini, 2019. "Assessing the impact of treatment on the dynamics of dengue fever: A case study of India," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.
    4. Xue, Ling & Zhang, Hongyu & Sun, Wei & Scoglio, Caterina, 2021. "Transmission dynamics of multi-strain dengue virus with cross-immunity," Applied Mathematics and Computation, Elsevier, vol. 392(C).
    5. Gerhart Knerer & Christine S M Currie & Sally C Brailsford, 2020. "The economic impact and cost-effectiveness of combined vector-control and dengue vaccination strategies in Thailand: results from a dynamic transmission model," PLOS Neglected Tropical Diseases, Public Library of Science, vol. 14(10), pages 1-32, October.
    6. Paul C. Fenema & A. Georges L. Romme, 2020. "Latent organizing for responding to emergencies: foundations for research," Journal of Organization Design, Springer;Organizational Design Community, vol. 9(1), pages 1-16, December.
    7. Arenas, Abraham J. & González-Parra, Gilberto & Villanueva Micó, Rafael-J., 2010. "Modeling toxoplasmosis spread in cat populations under vaccination," Theoretical Population Biology, Elsevier, vol. 77(4), pages 227-237.
    8. Víctor Hugo Peña-García & Omar Triana-Chávez & Ana María Mejía-Jaramillo & Francisco J. Díaz & Andrés Gómez-Palacio & Sair Arboleda-Sánchez, 2016. "Infection Rates by Dengue Virus in Mosquitoes and the Influence of Temperature May Be Related to Different Endemicity Patterns in Three Colombian Cities," IJERPH, MDPI, vol. 13(7), pages 1-16, July.
    9. Kolebaje, Olusola & Popoola, Oyebola & Khan, Muhammad Altaf & Oyewande, Oluwole, 2020. "An epidemiological approach to insurgent population modeling with the Atangana–Baleanu fractional derivative," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    10. Brito da Cruz, Artur M.C. & Rodrigues, Helena Sofia, 2021. "Personal protective strategies for dengue disease: Simulations in two coexisting virus serotypes scenarios," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 188(C), pages 254-267.
    11. Anggriani, N. & Tasman, H. & Ndii, M.Z. & Supriatna, A.K. & Soewono, E. & Siregar, E, 2019. "The effect of reinfection with the same serotype on dengue transmission dynamics," Applied Mathematics and Computation, Elsevier, vol. 349(C), pages 62-80.
    12. Judicaël Obame-Nkoghe & Boris Kevin Makanga & Sylvie Brizard Zongo & Aubin Armel Koumba & Prune Komba & Neil-Michel Longo-Pendy & Franck Mounioko & Rodolphe Akone-Ella & Lynda Chancelya Nkoghe-Nkoghe , 2023. "Urban Green Spaces and Vector-Borne Disease Risk in Africa: The Case of an Unclean Forested Park in Libreville (Gabon, Central Africa)," IJERPH, MDPI, vol. 20(10), pages 1-17, May.
    13. Yoon Ling Cheong & Katrin Burkart & Pedro J. Leitão & Tobia Lakes, 2013. "Assessing Weather Effects on Dengue Disease in Malaysia," IJERPH, MDPI, vol. 10(12), pages 1-16, November.
    14. Anusit Chamnan & Puntani Pongsumpun & I-Ming Tang & Napasool Wongvanich, 2022. "Effect of a Vaccination against the Dengue Fever Epidemic in an Age Structure Population: From the Perspective of the Local and Global Stability Analysis," Mathematics, MDPI, vol. 10(6), pages 1-25, March.
    15. Abdalgader, Tarteel & Banerjee, Malay & Zhang, Lai, 2022. "Spatially weak syncronization of spreading pattern between Aedes Albopictus and dengue fever," Ecological Modelling, Elsevier, vol. 473(C).
    16. Villela, Daniel A.M., 2016. "Analysis of the vectorial capacity of vector-borne diseases using moment-generating functions," Applied Mathematics and Computation, Elsevier, vol. 290(C), pages 1-8.
    17. Malik, Hafiz Abid Mahmood & Abid, Faiza & Wahiddin, Mohamed Ridza & Waqas, Ahmad, 2021. "Modeling of internal and external factors affecting a complex dengue network," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).
    18. Kazi Mizanur Rahman & Yushuf Sharker & Reza Ali Rumi & Mahboob-Ul Islam Khan & Mohammad Sohel Shomik & Muhammad Waliur Rahman & Sk Masum Billah & Mahmudur Rahman & Peter Kim Streatfield & David Harley, 2020. "An Association between Rainy Days with Clinical Dengue Fever in Dhaka, Bangladesh: Findings from a Hospital Based Study," IJERPH, MDPI, vol. 17(24), pages 1-9, December.
    19. Cai, Liming & Guo, Shumin & Li, XueZhi & Ghosh, Mini, 2009. "Global dynamics of a dengue epidemic mathematical model," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2297-2304.
    20. Mateus C, Rafael & Zuluaga, Susana Alvarez & Orozco, Mariajose Franco & Marín, Paula Alejandra Escudero, 2021. "Modeling the propagation of the Dengue, Zika and Chikungunya virus in the city of Bello using Agent-Based Modeling and Simulation," OSF Preprints wmxzd, Center for Open Science.

    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:eee:chsofr:v:133:y:2020:i:c:s0960077920300473. 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    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.