دانشگاه تبریز
فهرست نشریات دارای اعتبار وزارت علوم، تحقیقات و فناوری
پایگاه استنادی علوم جهان اسلام (ISC)

 آمار

تعداد نشریات45
تعداد شماره‌ها1,412
تعداد مقالات17,359
تعداد مشاهده مقاله55,969,580
تعداد دریافت فایل اصل مقاله18,179,362
Gholami, Hossein, Gachpazan, Morteza, Erfanian, Majid. (1403). $SEI_aI_sQRS$ epidemic model for COVID-19 by using compartmental analysis and numerical simulation. سامانه مدیریت نشریات علمی, 13(2), 592-607. doi: 10.22034/cmde.2024.58656.2482
Hossein Gholami; Morteza Gachpazan; Majid Erfanian. "$SEI_aI_sQRS$ epidemic model for COVID-19 by using compartmental analysis and numerical simulation". سامانه مدیریت نشریات علمی, 13, 2, 1403, 592-607. doi: 10.22034/cmde.2024.58656.2482
Gholami, Hossein, Gachpazan, Morteza, Erfanian, Majid. (1403). '$SEI_aI_sQRS$ epidemic model for COVID-19 by using compartmental analysis and numerical simulation', سامانه مدیریت نشریات علمی, 13(2), pp. 592-607. doi: 10.22034/cmde.2024.58656.2482
Gholami, Hossein, Gachpazan, Morteza, Erfanian, Majid. $SEI_aI_sQRS$ epidemic model for COVID-19 by using compartmental analysis and numerical simulation. سامانه مدیریت نشریات علمی, 1403; 13(2): 592-607. doi: 10.22034/cmde.2024.58656.2482

$SEI_aI_sQRS$ epidemic model for COVID-19 by using compartmental analysis and numerical simulation

Computational Methods for Differential Equations
مقاله 17، دوره 13، شماره 2، خرداد 2025، صفحه 592-607    اصل مقاله (985.07 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2024.58656.2482
نویسندگان
Hossein Gholami1؛ Morteza Gachpazan* 1؛ Majid Erfanian* 2
1Department of Applied Mathematics, School of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran.
2Department of Science, School of Mathematical Sciences, University of Zabol, Zabol, Iran.
چکیده
In this paper, we developed a $SEI_aI_sQRS$ epidemic model for COVID-19 by using compartmental analysis. In this article, the dynamics of COVID-19 are divided into six compartments: susceptible, exposed, asymptomatically infected, symptomatically infected, quarantined, and recovered. The positivity and boundedness of the solutions have been proven. We calculated the basic reproduction number for our model and found both disease-free and endemic equilibria. It is shown that the disease-free equilibrium is globally asymptotically stable. We explained under what conditions, the endemic equilibrium point is locally asymptotically stable. Additionally, the center manifold theorem is applied to examine whether our model undergoes a backward bifurcation at $R_0 = 1$ or not. To finish, we have confirmed our theoretical results by numerical simulation
کلیدواژه‌ها
Backward bifurcation؛ Globally asymptotically stable؛ Basic reproduction number
مراجع
  • [1] A. Ahmed, B. Salam, M. Mohammad, A. Akgul, and S. H. Khoshnaw, Analysis coronavirus disease (COVID-19) model using numerical approaches and logistic model, Aims Bioeng., 7(3) (2020), 130146.
  • [2] AIDS epidemic update: December 2006, [Accessed 2006 December 15]; Available from: https://data.unaids.org/pub/epireport/2006/2006 epiupdate en.pdf.
  • [3] A. Akgu¨l, N. Ahmed, A. Raza, Z. Iqbal, M. Rafiq, D. Baleanu, and M. A. U. Rehman, New applications related to Covid-19, Res. Phys., 20 (2021), 103663.
  • [4] P. N. A. Akuka, B. Seidu, and C. S. Bornaa, Mathematical analysis of COVID-19 transmission dynamics model in Ghana with double-dose vaccination and quarantine, Computational and mathematical methods in medicine, 2022.
  • [5] A. D. Algarni, A. B. Hamed, M. Hamdi, H. Elmannai, and S. Meshoul, Mathematical COVID-19 model with vaccination: a case study in Saudi Arabia, PeerJ Comput. Sci., 8 (2022), e959.
  • [6] R. M. Anderson and R. M. May, Infectious diseases of humans: dynamics and control, Oxford University Press, 1992.
  • [7] N. T. J. Bailey, The mathematical theory of infectious diseases and its applications, 2nd ed. Scotland: Richard Griffin and Company, 1975.
  • [8] C. Baishya, R. N. Premakumari, M. E. Samei, and M. K. Naik, Chaos control of fractional order nonlinear bloch equation by utilizing sliding mode controller, Chaos, Solitons and Fractals, 174 (2023), 113773.
  • [9] J. Carr, Applications Centre Manifold Theory, Springer-Verlog, New York, 1981.
  • [10] C. C. Chavez, Z. Feng, and W. Huang, On the computation of R0 and its role in global stability, IMA Volumes in Mathematics and Its Applications, 125 (2002), 229250.
  • [11] C. C. Chavez and B. Song, Dynamical models of tuberculosis and their application, Math Biosci Eng, (2004), 361-404.
  • [12] G. B. Chapman, M. Li, J. Vietri, Y. Ibuka, D. Thomas, H. Yoon, and A. P. Galvani, Using game theory to examine incentives in influenza vaccination behavior, Psychological science, 23(9) (2012), 1008-1015.
  • [13] A. N. Chatterjee and F. Al Basir, A model for SARS-CoV-2 infection with treatment, Computational and mathematical methods in medicine, 2020.
  • [14] M. Das, G. Samanta, and M. D. L. Sen, A fractional order model to study the effectiveness of government measures and public behaviours in COVID-19 pandemic, Mathematics, 2022.
  • [15] P. V. Driessche and J. Watmough, Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission, Mathematical bioscience, 180 (2002), 29-48.
  • [16] M. Farman, A. Akgu¨l, A. Ahmad, D. Baleanu, and M. U. Saleem, Dynamical transmission of coronavirus model with analysis and simulation, CMES[1] Computer Modeling in Engineering and Sciences, (2021), 753769.
  • [17] M. Farman, A. Aqeel, A. Akgu¨l, M. U. Saleem, M. Naeem, and D. Baleanu, Epidemiological analysis of the coronavirus disease outbreak with random effects, Computers, Materials, Continua, (2021), 32153227.
  • [18] F. Fenner, D. Henderson, I. Arita , Z. Jezek, and I. Ladnyi, Smallpox vaccine and vaccination in the intensified smallpox eradication programme, Geneva: World Health Organization, (1988), 539-592.
  • [19] R. Ghostine, M. Gharamti, S. Hassrouny, and I. Hoteit, An extended SEIR model with vaccination for forecasting the COVID-19 pandemic in Saudi Arabia using an ensemble Kalman filter, Mathematics, 2021.
  • [20] K. E. Hail, M. Khalid, and A. Ouhinou, Early-confinement strategy to tackling COVID-19 in Morocco; a mathematical modelling study, RAIRO-Oper. Res., 56 (2022), 4023-4033.
  • [21] A. W. Hickman, R. J. Jaramillo, J. F. Lechner, and N. F. Johnson, α -Particle induced p53 protein expression in a rat lung epithelial cell strain, Cancer Res, 54(22) (1994), 5797-5800.
  • [22] M. Houas and M. E. Samei, Existence and stability of solutions for linear and nonlinear Damping of q-fractional Duffing-Rayleigh problem, Mediterranean Journal of Mathematics, 2023.
  • [23] N. F. Johnson, N. Velasquez, N. J. Restrepo, R. Leahy, N. Gabriel, S. E. Oud, M. Zheng, P. Manrique, S. Wuchty, and Y. Lupu, The online competition between pro- and anti-vaccination views, Nature, 582 (2020), 230-233.
  • [24] T. Kherraz, M. Benbachir, M. Lakrib, M. E. Samei, M. K. A. Kaabar, and S. A. Bhanotar, Existence and uniqueness results for a fractional boundary value problems with multiple orders of fractional derivatives and integrals, SSRN Electronic Journal, 2023.
  • [25] B. Mohammadaliee, V. Roomi, and M. E. Samei, SEIARS model for analyzing COVID-19 pandemic process via ψ-Caputo fractional derivative and numerical simulation, Scientific Reports, 2024.
  • [26] A. Pandey, M. C. Fitzpatrick, S. M. Moghadas, T. N. Vilches, C. Ko, A. Vasan, and A. P. Galvani, Modelling the impact of a high-uptake bivalent booster scenario on the COVID-19 burden and health care costs in New York City, The Lancet Regional Health-Americas, 2023.
  • [27] M. Parsamanesh and M. Erfanian, Global dynamics of an epidemic model with standard incidence rate and vaccination strategy, Chaos, Solitons and Fractals , 117 (2018), 192199.
  • [28] M. Parsamanesh and M. Erfanian, Stability and bifurcations in a discretetime epidemic model with vaccination and vital dynamics, BMC Bioinformatics, 2020.
  • [29] M. Parsamanesh and M. Erfanian, Stability and bifurcations in a discrete-time SIVS model with saturated incidence rate, Chaos, Solitons and Fractals, 150 (2021), 111178.
  • [30] M. Parsamanesh and M. Erfanian, Global dynamics of a mathematical model for propagation of infection diseases with saturated incidence rate, Journal of Advanced Mathematical Modeling, 2021.
  • [31] J. S. Peiris, K. Y. Yuen, A. D. Osterhaus, and K. St¨ohr, The severe acute respiratory syndrome, The New England Journal of Medicine, 349(25) (2003), 2431-2441.
  • [32] A. Remuzzi and G. Remuzzi, COVID-19 and Italy: what next, Lancet (London, England), 2020.
  • [33] S. Rezapour, H. Mohammadi, and M. E. Samei, SEIR epidemic model for COVID-19 transmission by Caputo derivative of fractional order, Advances in Difference Equations, 2020.
  • [34] S. W. Teklu, Mathematical analysis of the transmission dynamics of COVID-19 infection in the presence of intervention strategies, Journal of biological dynamics, 16(1) (2022), 640-664.
  • [35] A. Zangrillo, L. Beretta, P. Silvani, S. Colombo, A. M. Scandroglio, and A. Dell’Acqua, et al, Fast reshaping of intensive care unit facilities in a large metropolitan hospital in Milan, Italy: facing the COVID-19 pandemic emergency. Critical care and resuscitation, journal of the Australasian Academy of Critical care Medicine, 22(2) (2020), 91-94.
  • [36] H. Zhu, L. Wei, and P. Niu, The novel coronavirus outbreak in Wuhan, China, Global health research and policy, 2020.
 

آمار
تعداد مشاهده مقاله: 300
تعداد دریافت فایل اصل مقاله: 504


سامانه مدیریت نشریات علمی. قدرت گرفته از سیناوب