A prey-refuge harvesting model using intuitionistic fuzzy sets

Ashish Acharya, Animesh Mahata, Nikhilesh Sil, Sanjoy Mahato, Supriya Mukherjee, Sanat Kumar Mahato, Banamali Roy

This study considers the classical Lotka-Volterra model for a prey-predator system with harvesting effort and catchability coefficients for both species incorporating a new prey-refuge parameter. Trapezoidal intuitionistic fuzzy numbers are considered to describe the initial values of the prey and predator population. Generalized Hukuhara intuitionistic fuzzy derivatives of type 1 and type 2 are used to formulate the prey-predator model. Non-negative feasible steady states and stability criteria are analyzed along with strong and weak solutions for the model. Numerical simulations with the help of MATLAB are performed for suitable parameter values, and the results are depicted graphically.

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Year of publication:	2023
Authors:	Acharya, Ashish ; Mahata, Animesh ; Sil, Nikhilesh ; Mahato, Sanjoy ; Mukherjee, Supriya ; Mahato, Sanat Kumar ; Roy, Banamali
Subject:	Generalized intuitionistic fuzzy derivative \| Intuitionistic fuzzy differential equation \| Numerical simulation \| Prey-refuge model \| Stability analysis \| Fuzzy-Set-Theorie \| Fuzzy sets \| Simulation \| Derivat \| Derivative \| Analysis \| Mathematical analysis

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Type of publication:	Article
Type of publication (narrower categories):	Aufsatz in Zeitschrift ; Article in journal
Language:	English
Other identifiers:	10.1016/j.dajour.2023.100308 [DOI]
Source:	ECONIS - Online Catalogue of the ZBW

Persistent link: https://www.econbiz.de/10014520206