International Journal of Neutrosophic Science

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https://doi.org/10.54216/IJNS

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Volume 26 , Issue 2 , PP: 01-10, 2025 | Cite this article as | XML | Html | PDF | Full Length Article

Differential Equation of COVID-19 with Constraint Algebraic Equation and Sustainable health development With Applications in Neutrosophic Environment

Mohammed Kadhim Mohsin 1 * , A. Y. J. Almasoodi 2 , Sarah A.AL-Ameedee 3 , Mohammed Qassim 4 *

  • 1 College of Basic Education. Department of Mathematics. University of Babylon. Iraq - (bas926.mohammed.kadhum@uobabylon.edu.iq)
  • 2 College of Basic Education. Department of Mathematics. University of Babylon. Iraq - (Bas397.abdullah.yehaa@uobabylon.edu.iq)
  • 3 College of Basic Education. Department of Mathematics. University of Babylon. Iraq - (bas387.sarah.abdradia@uobabylon.edu.iq)
  • 4 College of Basic Education. Department of Mathematics. University of Babylon. Iraq - (mkmam1985@gmail.com)
  • Doi: https://doi.org/10.54216/IJNS.260201

    Received: December 09, 2024 Revised: February 01, 2025 Accepted: March 12, 2025
    Abstract

    The first appearance of COVID-19 in late 2019 and spread rapidly throughout the world until it became a global pandemic, and the World Health Organization announced some vaccines, and the emergence of a mutated version of COVID-19 was reported in several countries, including Iraq, and we will take care of conducting a study on the spread and dynamics of a virus, this work will be based on the study of the dynamics 3D harvesting predator (COVID-19) differential-algebraic predator-prey economic model (DA-PPM) with functional responses of Holing type-II. The appropriate and realistic description with high accuracy of this phenomenon, which may be natural and emerging as such models, has proven the sentimentality and existence of the solution to the system, and the stability of the system, was discussed in a manner similar to the stability of Matignon. The numerical results showed that the variables of stable unhappy situations have an effect, and this important study can be used as one of the methods of health science to control the spread of COVID-19 and its advanced models.  One of the critical aspects of sustainable development is building resilient health systems capable of dealing with epidemics and other crises, the mathematical model (DA-PPM) was applied to analyze the sustainability of health systems under the pressure of Covid-19 and evaluate how long-term public health policies and interventions can prevent overexploitation of resources. Ensuring equitable access to care. The application of the mathematical model to understand the spread of the epidemic is discussed to observe the spread of the epidemic, the possibility of coexistence with it, its close relationship with sustainable development, and to emphasize the importance of the flexibility of the health system. In addition, we apply our results on the neutrosophic supposed data that deals with uncertainty in real-life measurements and compare it with the classical results.

    Keywords :

    Epidemiological ecosystem , Prey-Predator model , Economic effort , Harvesting Prey-Predator , Holling type-II , Differential-algebraic system , Stability , Neutrosophic environment , Neutrosophic data , Neutrosophic variables

    References

    [1] A. Atangana, "Modelling the spread of COVID-19 with new fractal-fractional operators: Can the lockdown save mankind before vaccination?," Chaos, Solitons & Fractals, vol. 136, p. 109860, 2020.

    [2] H. B. Fredj and F. Chérif, "Novel coronavirus disease infection in Tunisia: Mathematical model and the impact of the quarantine strategy," Chaos, Solitons & Fractals, vol. 138, p. 109969, 2020.

    [3] M. A. Khan and A. Atangana, "Modeling the dynamics of novel coronavirus (2019-nCov) with fractional derivative," Alexandria Engineering Journal, vol. 59, no. 4, pp. 2379-2389, 2020.

    [4] D. Okuonghae and A. Omame, "Analysis of a mathematical model for COVID-19 population dynamics in Lagos, Nigeria," Chaos, Solitons & Fractals, vol. 139, p. 110032, 2020.

    [5] A. J. Lotka, Elements of Mathematical Biology. New York, NY, USA: Dover Publications, 1956.

    [6] M. Alisawi et al., "Cyber security after COVID-19: A review," in AIP Conf. Proc., vol. 2839, no. 1, 2023, AIP Publishing.

    [7] H. S. Gordon, "The economic theory of a common-property resource: The fishery 1," in Fisheries Economics, Volume I. Routledge, 2019, pp. 3-21.

    [8] S. A. Al-Ameedee, "Fekete-Szego inequalities for higher-order derivatives of multivalent analytic function with application to stealth combat aircraft," J. Interdiscip. Math., vol. 27, no. 4, pp. 721–727, May 2024, doi: https://doi.org/10.47974/JIM-1757.

    [9] T. Kar and U. Pahari, "Modelling and analysis of a prey–predator system with stage-structure and harvesting," Nonlinear Anal.: Real World Appl., vol. 8, no. 2, pp. 601-609, 2007.

    [10] L. Wang, X. Zhang, and T. Li, "A new hybrid optimization algorithm for solving complex engineering problems," Appl. Soft Comput., vol. 112, p. 107783, 2021.

    [11] A. Almasoodi, A. Abdi, and G. Hojjati, "A GLMs-based difference-quadrature scheme for Volterra integro-differential equations," Appl. Numer. Math., vol. 163, pp. 292-302, 2021.

    [12] Y. Feng, Q. Zhang, and C. Liu, "Dynamical behavior in a harvested differential-algebraic allelopathic phytoplankton model," Int. J. Inf. Syst. Sci., vol. 5, no. 3-4, pp. 558-571, 2009.

    [13] J. Chen, H. Zhang, and M. Liu, "Deep learning-based feature selection for predictive analytics in dynamic systems," Expert Syst. Appl., vol. 196, p. 116573, 2022.

    [14] L. Perko, Differential Equations and Dynamical Systems. Springer Science & Business Media, 2013.

    [15] T. Kar and K. Chakraborty, "Bioeconomic modelling of a prey predator system using differential algebraic equations," Int. J. Eng. Sci. Technol., vol. 2, no. 1, pp. 13-34, 2010.

    [16] N. Li, H.-Y. Sun, and Q.-L. Zhang, "The dynamics and bifurcation control of a singular biological economic model," Int. J. Autom. Comput., vol. 9, no. 1, pp. 1-7, 2012.

    [17] M.-C. Anisiu, "Lotka, Volterra and their model," Didáctica Mathematica, vol. 32, no. 1, 2014.

    [18] J. Sjöberg, Some Results on Optimal Control for Nonlinear Descriptor Systems. Linköping, Sweden: Linköping University, 2006.

    [19] A. Buscarino, L. Fortuna, and M. Frasca, Essentials of Nonlinear Circuit Dynamics with MATLAB® and Laboratory Experiments. CRC Press, 2017.

    [20] B. Li, S. Liu, J. A. Cui, and J. Li, "A simple predator-prey population model with rich dynamics," Appl. Sci., vol. 6, no. 5, p. 151, 2016.

    [21] R. A. Zaboon, "Solvability and transcritical bifurcation of three-dimensional harvesting differential-algebraic prey-predator model with Lotka-Volterra functional response," J. Adv. Res. Dyn. Control Syst., vol. 11, no. 5, pp. 214-226, 2019.

    [22] M. K. Almamoori, "Bifurcation and chaotic analysis and design of some differential-algebraic systems," Ph.D. dissertation, Univ. AL-Mustansiriy, Baghdad, Iraq, 2019.

    [23] A. Ghazi et al., "Data mining and machine learning techniques for coronavirus (COVID-19) pandemic: A review study," in AIP Conf. Proc., vol. 2839, no. 1, 2023, AIP Publishing.

    Cite This Article As :
    Kadhim, Mohammed. , Y., A.. , A.AL-Ameedee, Sarah. , Qassim, Mohammed. Differential Equation of COVID-19 with Constraint Algebraic Equation and Sustainable health development With Applications in Neutrosophic Environment. International Journal of Neutrosophic Science, vol. , no. , 2025, pp. 01-10. DOI: https://doi.org/10.54216/IJNS.260201
    Kadhim, M. Y., A. A.AL-Ameedee, S. Qassim, M. (2025). Differential Equation of COVID-19 with Constraint Algebraic Equation and Sustainable health development With Applications in Neutrosophic Environment. International Journal of Neutrosophic Science, (), 01-10. DOI: https://doi.org/10.54216/IJNS.260201
    Kadhim, Mohammed. Y., A.. A.AL-Ameedee, Sarah. Qassim, Mohammed. Differential Equation of COVID-19 with Constraint Algebraic Equation and Sustainable health development With Applications in Neutrosophic Environment. International Journal of Neutrosophic Science , no. (2025): 01-10. DOI: https://doi.org/10.54216/IJNS.260201
    Kadhim, M. , Y., A. , A.AL-Ameedee, S. , Qassim, M. (2025) . Differential Equation of COVID-19 with Constraint Algebraic Equation and Sustainable health development With Applications in Neutrosophic Environment. International Journal of Neutrosophic Science , () , 01-10 . DOI: https://doi.org/10.54216/IJNS.260201
    Kadhim M. , Y. A. , A.AL-Ameedee S. , Qassim M. [2025]. Differential Equation of COVID-19 with Constraint Algebraic Equation and Sustainable health development With Applications in Neutrosophic Environment. International Journal of Neutrosophic Science. (): 01-10. DOI: https://doi.org/10.54216/IJNS.260201
    Kadhim, M. Y., A. A.AL-Ameedee, S. Qassim, M. "Differential Equation of COVID-19 with Constraint Algebraic Equation and Sustainable health development With Applications in Neutrosophic Environment," International Journal of Neutrosophic Science, vol. , no. , pp. 01-10, 2025. DOI: https://doi.org/10.54216/IJNS.260201