Fuzzy Prey–Predator Model with Holling Type II Response and Its Application in Pest Control

This paper discusses the fuzzy Prey–Predator model with Holling Type II response. The goal of this study is to provide a mathematical analysis of the model as well as explore certain qualitative results that play an essential role in various biological phenomena, such as pest control. The proposed model is applied to Hibiscus plants (prey) and white fungus (predator). Due to this white fungus, leaves either become tanned or fall off the plant. The existence and uniqueness of the fuzzy solution of the general system are proved along with the stability of the proposed model. Finally, numerical illustrations are solved using numerical methods to visualize the behavior.

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Publication Details

Journal
New Mathematics and Natural Computation
Published
2025-04-26
DOI
https://doi.org/10.1142/s1793005727500086
Primary Topic
Advanced Algorithms and Applications
Type
article
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article

Fuzzy Prey–Predator Model with Holling Type II Response and Its Application in Pest Control

Payal Singh, Sankar Prasad Mondal, Mohammadreza Shahriari, Alireza Amirteimoori et al.
New Mathematics and Natural Computation
Advanced Algorithms and Applications
article

Fuzzy Prey–Predator Model with Holling Type II Response and Its Application in Pest Control

Payal Singh, Sankar Prasad Mondal, Mohammadreza Shahriari, Alireza Amirteimoori, Kamal Hossain Gazi, Tofigh Allahviranloo
article en

Abstract

This paper discusses the fuzzy Prey–Predator model with Holling Type II response. The goal of this study is to provide a mathematical analysis of the model as well as explore certain qualitative results that play an essential role in various biological phenomena, such as pest control. The proposed model is applied to Hibiscus plants (prey) and white fungus (predator). Due to this white fungus, leaves either become tanned or fall off the plant. The existence and uniqueness of the fuzzy solution of the general system are proved along with the stability of the proposed model. Finally, numerical illustrations are solved using numerical methods to visualize the behavior.

New Mathematics and Natural Computation
Islamic Azad University South Tehran Branch (IR), Parul University (IN), Istinye University (TR), Maulana Abul Kalam Azad University of Technology, West Bengal (IN)
Zero hunger
Openalex Percentile: Top 91%
Advanced Algorithms and Applications
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Fuzzy Prey–Predator Model with Holling Type II Response and Its Application in Pest Control — Payal Singh, Sankar Prasad Mondal, et al. · New Mathematics and Natural Computation (2025) | TGRS Research Map | TGRS