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Modeling assumptions, optimal control strategies and mitigation through vaccination to Zika virus

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  • Sharma, Naveen
  • Singh, Ram
  • Singh, Jagdev
  • Castillo, Oscar

Abstract

Zika virus is amongst the deadly viruses still prevalent in more than 50 countries around the world. It is amosquitoes-borne disease that spread at fast rate in 2016. Zika virus belongs to the family of Flaviviridae virus. In this paper, a deterministic mathematical model is formulated to investigate the effects of vaccination in controlling the disease through optimal solution. The qualitative behavior of the proposed model is studied by using the theory of stability analysis. A basic reproduction number is computed by using Next Generation Technique todecide a threshold values of R0i.e. if R0<1,the system is locally asymptotically stable and disease dies out and ifR0>1 dynamicsthe system is locally asymptotically unstable and diseases persist in the system. The global stability is also investigated via Lyapunov function. Numerical results were performed to see the effects of vaccination on the dynamics of the model with and without optimal interventions. The analysis of model suggests various strategies which help in the elimination of the disease.

Suggested Citation

  • Sharma, Naveen & Singh, Ram & Singh, Jagdev & Castillo, Oscar, 2021. "Modeling assumptions, optimal control strategies and mitigation through vaccination to Zika virus," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    • Handle: RePEc:eee:chsofr:v:150:y:2021:i:c:s0960077921004914
    DOI: 10.1016/j.chaos.2021.111137
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    References listed on IDEAS

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    1. Ali, Hegagi Mohamed & Ameen, Ismail Gad, 2021. "Optimal control strategies of a fractional order model for Zika virus infection involving various transmissions," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
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    3. Begum, Razia & Tunç, Osman & Khan, Hasib & Gulzar, Haseena & Khan, Aziz, 2021. "A fractional order Zika virus model with Mittag–Leffler kernel," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    4. Hasan, Bushra & Singh, Manmohan & Richards, David & Blicblau, Aaron, 2019. "Mathematical modelling of Zika virus as a mosquito-borne and sexually transmitted disease with diffusion effects," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 166(C), pages 56-75.
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