aspg-21-3895-1791475988 20261008161308 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2025 26 4 Mohammed Kadhim Mohsin College of Basic Education.Department of Mathematics.University of Babylon, Iraq A. Y. J. Almasoodi College of Basic Education.Department of Mathematics.University of Babylon, Iraq Manar M. Shalaan College of Basic Education.Department of Mathematics.University of Babylon, Iraq 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. 2025 57 64 3895 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.260407 https://www.americaspg.com/journal/21/article/3895 https://www.americaspg.com/storage/01749745979.pdf