Modeling transmission dynamics of measles in Nepal and its control with monitored vaccination program

Author:

Pokharel Anjana1,Adhikari Khagendra2,Gautam Ramesh3,Uprety Kedar Nath4,Vaidya Naveen K.567

Affiliation:

1. Padma Kanya Multiple Campus, Tribhuvan University, Kathmandu, Nepal

2. Amrit Campus, Tribhuvan University, Kathmandu, Nepal

3. Ratna Rajya Laxmi Campus, Tribhuvan University, Kathmandu, Nepal

4. Central Department of Mathematics, Tribhuvan University, Kathmandu, Nepal

5. Department of Mathematics and Statistics, San Diego State University, San Diego, CA, USA

6. Computational Science Research Center, San Diego State University, San Diego, CA, USA

7. Viral Information Institute, San Diego State University, San Diego, CA, USA

Abstract

<abstract><p>Measles is one of the highly contagious human viral diseases. Despite the availability of vaccines, measles outbreak frequently occurs in many places, including Nepal, partly due to the lack of compliance with vaccination. In this study, we develop a novel transmission dynamics model to evaluate the effects of monitored vaccination programs to control and eliminate measles. We use our model, parameterized with the data from the measles outbreak in Nepal, to calculate the vaccinated reproduction number, $ R_v $, of measles in Nepal. We perform model analyses to establish the global asymptotic stability of the disease-free equilibrium point for $ R_v &lt; 1 $ and the uniform persistence of the disease for $ R_v &gt; 1 $. Moreover, we perform model simulations to identify monitored vaccination strategies for the successful control of measles in Nepal. Our model predicts that the monitored vaccination programs can help control the potential resurgence of the disease.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Computational Mathematics,General Agricultural and Biological Sciences,Modeling and Simulation,General Medicine

Reference72 articles.

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3. Center for Disease Control and Prevention (CDC), Measles epidemic: Overcoming vaccine prejudice (History of measles outbreaks), A Train Education, available from: https://www.atrainceu.com/content/2-history-and-pathology-measles (accessed on 8 February 2021).

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5. UNICEF, UNICEF for every child, Over 20 million children worldwide missed out on measles vaccine annually in past 8 years, creating a pathway to current global outbreaks, available from: https://www.unicef.org/nepal/press-releases/over-20-million-children-worldwide-missed-out-measles-vaccine-annually-\past-8-years (accessed on 28 March 2020).

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Modelling, Analysis, and Simulation of Measles Disease Transmission Dynamics;Discrete Dynamics in Nature and Society;2023-01-05

2. Mathematical dynamics of measles transmission with real data from Pakistan;Modeling Earth Systems and Environment;2022-10-24

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