<p>This paper presents a novel fuzzy predator–prey model that incorporates neutrosophic fuzzy logic and Holling type III dynamics to rigorously account for ecological uncertainty, thereby improving upon the classical Lotka–Volterra framework. While conventional models struggle to handle the uncertainties of real-world ecological systems, this work introduces a more robust framework. This work introduces a novel model that seamlessly integrates neutrosophic fuzzy logic and Holling type III dynamics. Single-valued neutrosophic numbers are used to model important system parameters. A centroid-based defuzzification method is used for analzsing stability in nonlinear ecological systems and the the model’s resilience is validated through both analytical stability criteria (positivity, boundedness, and Routh–Hurwitz conditions) and numerical simulations using Rossler-type iterative methods. By offering an organized and flexible methodology for ecological forecasting under uncertainty, this framework advances fuzzy logic applications in eco-epidemiological modelling.</p>

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Fuzzy Logic and Centroid Defuzzification for Ecological Modelling

  • S. Saranya

摘要

This paper presents a novel fuzzy predator–prey model that incorporates neutrosophic fuzzy logic and Holling type III dynamics to rigorously account for ecological uncertainty, thereby improving upon the classical Lotka–Volterra framework. While conventional models struggle to handle the uncertainties of real-world ecological systems, this work introduces a more robust framework. This work introduces a novel model that seamlessly integrates neutrosophic fuzzy logic and Holling type III dynamics. Single-valued neutrosophic numbers are used to model important system parameters. A centroid-based defuzzification method is used for analzsing stability in nonlinear ecological systems and the the model’s resilience is validated through both analytical stability criteria (positivity, boundedness, and Routh–Hurwitz conditions) and numerical simulations using Rossler-type iterative methods. By offering an organized and flexible methodology for ecological forecasting under uncertainty, this framework advances fuzzy logic applications in eco-epidemiological modelling.