Holling Type-III Functional Response Action of Predator-Prey System with Harvested Predator Stability and Their Neutrosophic Generalized Versions

Mohammed Kadhim Mohsin^1,*, A. Y. J. Almasoodi¹, Manar M. Shalaan¹

¹College of Basic Education.Department of Mathematics.University of Babylon. Iraq

Emails: bas926.mohammed.kadhum@uobabylon.edu.iq ; bas397.abdullah.yehaa@uobabylon.edu.iq ; bsclec.manar.mackie@uobabylon.edu.iq

Abstract

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.

Keywords: 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