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A. Ebrahimzadeh, R. Khanduzi, A. Jajarmi / IJOCTA, Vol.15, No.2, pp.294-310 (2025)
            cost-effectiveness metrics for the specific cases an-  Conflict of interest
            alyzed can be found in Table 5. The numbers in
                                                              The authors declare that they have no conflict of
            this table show that the threefold optimal control  interest regarding the publication of this article.
            strategy works much better than the twofold con-
            trol method at lowering the number of infected    Author contributions
            people. This supports our findings even more.
                                                              Conceptualization: Asiyeh Ebrahimzadeh
                                                              Formal analysis: Amin Jajarmi
            5. Conclusions and future research                Investigation: Raheleh Khanduzi
                directions                                    Methodology:   Asiyeh Ebrahimzadeh, Raheleh
                                                              Khanduzi
            This paper suggested a novel hybrid strategy, the
                                                              Software: Amin Jajarmi
            collocation method with FBMO for OCP on a
                                                              Writing – original draft: Asiyeh Ebrahimzadeh,
            multi-strain COVID-19 model. We used Laguerre
                                                              Raheleh Khanduzi
            polynomials and their derivative operational ma-
                                                              Writing – review & editing: Amin Jajarmi
            trices to run a collocation method on this OCP.
            This turned the OCP into an NLP. Then, the        Availability of data
            NLP was solved using FBMO to determine the
            representation of isolation, vaccination efficacy,  Not applicable.
            and treatment enhancement in conjunction with
            the state functions of the multi-strain COVID-    References
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                                                               8. Burgess DJ. Network effects of disease mutations.
            This work has financial support of Farhangian         Nat Rev Genet., 2015;16(6):317.
                                                                  https://doi.org/10.1038/nrg3957
            University (Contract No. 500.17474.120).
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