Volume 26 , Issue 4 , PP: 57-64, 2025 | Cite this article as | XML | Html | PDF | Full Length Article
Mohammed Kadhim Mohsin 1 * , A. Y. J. Almasoodi 2 , Manar M. Shalaan 3
Doi: https://doi.org/10.54216/IJNS.260407
This paper focuses on the stability of Descriptor Predator-Prey economic system and its related neutrosophic system of Holling type-III functional action response with harvested predator under classical real environment and neutrosophic environment. Where the solvability and dimensionless forms have been presented along with the necessary mathematical justifications and proofs with some qualitative properties have been proposed and developed with systematic illustration.
Ecosystem epidemiological , Predator-Prey model , Harvesting Predator-Prey , Holling type-III, Descriptor system and Stability , Neutrosophic Predator-Prey model , Neutrosophic Harvesting Predator-Prey , Neutrosophic coefficient
[1] M. K. M. A. and R. A. Z., “Bifurcation and chaotic analysis and design of some differential-algebraic systems,” University of AL-Mustansiriy, 2019.
[2] R. K. Naji, “Order and choose in multi-species ecological systems,” Indian Institute of Technology Rookie, 2003.
[3] A. J. Lotka, Elements of Mathematical Biology, Dover Publications, 1956.
[4] A. Y. J. Almasoodi, M. K. Mohsin, S. A. AL-Ameedee, and M. A. Shanyoor, “A new SDIMSIM methods with optimized region of stability and sustainable development with applications on neutrosophic data,” Neutrosophic Sets and Systems, vol. 82, no. 1, p. 32, 2025.
[5] H. S. Gordon, “The economic theory of a common-property resource: The fishery,” in Fisheries Economics, vol. I, Routledge, 2019, pp. 3–21.
[6] A. N. Sadiq, “The dynamics and optimal control of a prey-predator system,” Global Journal of Pure and Applied Mathematics, vol. 13, no. 9, pp. 5287–5298, 2017.
[7] T. K. Kar and U. K. Pahari, “Modelling and analysis of a prey–predator system with stage-structure and harvesting,” Nonlinear Analysis: Real World Applications, vol. 8, no. 2, pp. 601–609, 2007.
[8] Y. Feng, Q. Zhang, and C. Liu, “Dynamical behavior in a harvested differential-algebraic allelopathic phytoplankton model,” International Journal of Information & Systems Sciences, vol. 5, no. 3–4, pp. 558–571, 2009.
[9] S. L. Campbell, “Singular systems of differential equations,” 1980.
[10] L. Perko, Differential Equations and Dynamical Systems, vol. 7, Springer Science & Business Media, 2013.
[11] T. Kar and K. Chakraborty, “Bioeconomic modelling of a prey predator system using differential algebraic equations,” International Journal of Engineering, Science and Technology, vol. 2, no. 1, pp. 13–34, 2010.
[12] A. Y. J. Almasoodi, A. Abdi, and G. Hojjati, “A GLMs-based difference-quadrature scheme for Volterra integro-differential equations,” Applied Numerical Mathematics, vol. 163, pp. 292–302, 2021.
[13] M.-C. Anisiu, “Lotka, Volterra and their model,” Didáctica Mathematica, vol. 32, no. 01, 2014.
[14] S. J. and R. A. Z., “Robust and optimal control of nonlinear descriptor dynamic systems,” University of AL-Mustansiriy, 2015.
[15] J. Sjöberg, “Some results on optimal control for nonlinear descriptor systems,” Institutionen för systemteknik, 2006.
[16] A. Ashine and D. Melese, “Mathematical modeling of a predator-prey model with modified Leslie-Gower and Holling-type II schemes,” 2017.
[17] A. Buscarino, L. Fortuna, and M. Frasca, Essentials of Nonlinear Circuit Dynamics with MATLAB® and Laboratory Experiments, CRC Press, 2017.
[18] R. A. Z. and M. K. M. Almamoori, “Solvability and transcritical bifurcation of three-dimensional harvesting differential-algebraic prey-predator model with Lotka-Volterra functional response,” Journal of Advanced Research in Dynamical and Control Systems, vol. 11, no. 5, pp. 214–226, 2019. [Online]. Available: https://jardcs.org/abstract.php?id=1343
[19] V. W. B. Kandasamy and F. Smarandache, “Some neutrosophic algebraic structures and neutrosophic n-algebraic structures,” Hexis, Phoenix, Arizona, 2006.
[20] M. Abobala and A. Hatip, “An algebraic approach to neutrosophic Euclidean geometry,” Neutrosophic Sets and Systems, 2021.
[21] F. Smarandache, A Unifying Field in Logics: Neutrosophy: Neutrosophic Probability, Set and Logic, Rehoboth: American Research Press, 1999.
