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. 2024 Nov 14;12:1437678. doi: 10.3389/fpubh.2024.1437678

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Copyright © 2024 Abbas, Masud, Parveen, Lee and Kim.

This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

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Simulation results with different values of treatment rate. These results show the situation of the infected population for the next 10 years with different values of θ. Initial values are US and Pakistan data from 2018 (see Tables 4–6).