• P-ISSN 0974-6846 E-ISSN 0974-5645

Indian Journal of Science and Technology


Indian Journal of Science and Technology

Year: 2023, Volume: 16, Issue: 39, Pages: 3423-3434

Original Article

Design and Investigation of Mathematical Model for the Vaccination and Transmission of Monkeypox Virus without Lifelong Immunity

Received Date:19 June 2023, Accepted Date:15 September 2023, Published Date:25 October 2023


Objective: For the purpose of evaluating the potential for outbreaks of monkeypox (MPX) in a metropolitan region and defining necessary public health measures to restrict the spread of the virus through the use of a model of its dissemination, the preventive interventions have a critical role in the management of infectious diseases. The objective of this study is to assess the feasibility of managing and eliminating MPX through the use of voluntary vaccination and treatment measures. Methods: We developed two equilibriums for the model, endemic and disease-free, via standard methods. Using the comparison theorem and the next-generation matrix, it was demonstrated that the DFE is both locally and globally asymptotically stable if R0 < 1. By using linearization approach, the endemic equilibrium point only occurred when R0 > 1. Through the utilization of model and sensitivity analysis techniques, we are able to discern the pivotal public health elements and afterwards show several scenarios based on distinct transmission assumptions. Findings: Based on the findings of the study, implementing measures to isolate individuals with diseases from the wider community can effectively mitigate the transmission of diseases. A comprehensive examination of the model parameters using sensitivity analysis indicates that when the treatment and vaccination control parameters are augmented, there is a decrease in the fundamental reproduction numbers of the model. These reproduction numbers serve as a crucial threshold for identifying new infections within host populations. Novelty: Our research highlights the importance of treatment, vaccination, and public understanding as the exclusive preventive measures in the context of monkeypox. Furthermore, our analysis led us to the determination that disease can be managed and controlled, but achieving lasting immunity is not yet possible, given the absence of definitive treatments and vaccination for monkeypox infection. 2010 Mathematics Subject Classification: 81T99, 93A30.

Keywords: Monkeypox, Basic reproduction number, Comparison theorem, Sensitivity analysis, Stablity analysis


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© 2023 Tiwari et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Published By Indian Society for Education and Environment (iSee)


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