[1] Ahmad, R.A., Imron, M.A., Ramadona, A.L., Lathifah, N., Azzahra, F., Widyastuti, K. and Fuad, A. Modeling social interaction and metapop-ulation mobility of the COVID-19 pandemic in main cities of highly populated Java Island, Indonesia: An agent-based modeling approach, Front. Ecol. Evol. 10 (2023), 958651.
[2] Arino, J., Sun, C. and Yang, W. Revisiting a two-patch SIS model with infection during transport, Math. Med. Biol. 33(1) (2015), 29–55.
[3] Arino, J. and Van Den Driessche, P. Disease spread in metapopulations, Fields Inst. Commun. 48 (2006), 1–12.
[4] Baister, M., McTaggart, E., McMenemy, P., Megiddo, I. and Kleczkowski, A. COVID-19 in Scottish care homes: A metapop-ulation model of spread among residents and staff, medRxiv 2021.08.24.21262524.
[5] Bortolatto, R. A note on the Lienard-Chipart criterion and roots of some families of polynomials, arXiv preprint arXiv:1407.4852 (2014).
[6] Boubekeur, M.A. and Belhamiti, O. Modeling the Impact of Obesity on COVID-19: Evidence from Sensitivity Analysis, (2023), Submitted.
[7] Bouziane, M., Mezouaghi, A. and Belhamiti, O. analysis of the vac-cination reproduction number and endemic equilibrium to control the Covid-19 spread, Adv. Math. Sci. App. 32(2) (2023), 399–430.
[8] Castillo-Chavez, C. and Thieme, H. Autonomous epidemic models, O. Arino, D. Axelrod, M. Kimmel, M. Langlais (Eds.), Mathematical Pop-ulation Dynamics: Analysis of Heterogeneity, BU-1248-M (1994) 1–23.
[9] Chen, T.M., Rui, J., Wang, Q.P., Zhao, Z.Y., Cui, J.A. and Yin, L.A. Model for simulating the phase-based transmissibility of a novel coron-avirus, Infect. Dis. Poverty 9(1) (2020), 1–8.
[10] Chitnis, N., Hyman, J.M. and Cushing, J.M. Determining important parameters in the spread of malaria through the sensitivity analysis of a mathematical model, Bull. Math. Biol. 70 (2008), 1272–1296.
[11] Daud, A.A.M. A note on Lienard-Chipart criteria and its application to epidemic models, Mathematics and Statistics 9 (2021), 41–45.
[12] Faiçal, N., Ivan, A., Juan, N. and Delfim, T. Modeling of COVID-19 transmission dynamics with a case study of Wuhan, Chaos Solit. Fractals. 135 (2020), 109846.
[13] Hancean, M.G., Slavinec, M. and Perc, M. impact of human mobility networks on the global spread of COVID-19, J. Complex Netw. 8(6) (2020), 1–14.
[14] Humphries, R., Spillane, M., Mulchrone, K., Wieczorek, S., Riordain, M. and Havel, P. A metapopulation network model for the spreading of SARS CoV-2: Case study for Ireland, Infect. Dis. Model. 6 (2021), 420–437.
[15] Iyaniwura, S.A., Ringa, N., Adu, P.A., Mak, S., Janjua, N.Z., Irvine, M.A. and Otterstatter, M. Understanding the impact of mobility on COVID-19 spread: A hybrid gravity-metapopulation model of COVID-19, PLoS Comput. Biol. 19(5) (2023), e1011123.
[16] Keddar, M.E.B. and Belhamiti O. A study of global dynamics and sensi-tivity analysis of a discrete-time model of the COVID-19 epidemic, Ira-nian Journal of Numerical Analysis and Optimization (2023), Accepted. 10.22067/IJNAO.2023.82954.1281
[17] Kim, J.H., SU, W. and Song, Y.J. On stability of a polynomial, J. Appl. Math. Inform. 36 (2018), 231–236.
[18] Knobler, S., Mahmoud, A., Lemon, S. and Pray, L. The impact of glob-alization on infectious disease emergence and control: Exploring the con-sequences and opportunities, Workshop Summary - Forum on Microbial Threats, The National Academies Press, 2006.
[19] Lan Meng, L. and Zhu, W. SEIR epidemic model for COVID-19 in a multipatch environment, discrete dynamics in nature society, Discrete Dyn. Nature Soc. 2021 (2021), Article ID 5401253, 1–12.
[20] Martens, P. and Hall, L. Malaria on the move: human population move-ment and malaria transmission, Emerg. Infect. Dis. 6 (2) (2000), 103–109.
[21] McCarthy, C.V., O’Mara, O. and Van Leeuwen, E. The impact of COVID-19 vaccination in prisons in England and Wales: a metapopu-lation model, BMC Public Health, 22 (1003) (2022), 1–17.
[22] Perlman, S., Another decade, another Coronavirus, N. Engl. J. Med. 382(8) (2020), 760–762.
[23] Rabitz, H., Kramer, M. and Dacol, D. Sensitivity analysis in chemical kinetics, Annu. Rev. Phys. Chem. 34 (1983), 419–461.
[24] Smith, H.L. and Waltman, P. The theory of the Chemostat, Cambridge University, 1995.
[25] Van Den Driessche, P. Reproduction numbers of infectious disease mod-els, Infect. Dis. Model. 2 (2017), 288–303.
[26] Van Den Driessche, P. and Watmough, J. Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission, Math. Biosci. 180 (2002), 29–48.
[27] Van Den Driessche, P. and Watmough, J. Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission, Math. Biosci 180 (2002), 29–48.
[28] World Health Organization (WHO). Coronavirus (COVID-19) Dash-board; (accessed April 17, 2022).
[29] World Health Organization (WHO). Novel Coronavirus 2019-nCoV, sit-uation report-1. (accessed May 10, 2021).
[30] Zhao, X. Systems in population biology, Springer, 2003.
[31] Zi, Z. Sensitivity analysis approaches applied to systems biology models, IET Syst. Biol. 5 (2011), 336–346.
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