Stability Analysis of Predator‐Prey System with Fuzzy Impulsive Control

Yuan-gan, Wang

doi:10.1155/2012/715497

Cited by 8 publications

(2 citation statements)

References 23 publications

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“…Pal et al [27], De et al [28,29] presented optimal harvesting model with interval parameters for prey-predator system. Wang [30] presented stability analysis of prey-predator system with fuzzy impulsive control. The stability and bionomic analysis of prey-predator harvesting model using UFM for fuzzy parameters also presented by Pal et al [31].…”

Section: Literature Reviewmentioning

confidence: 99%

Stability analysis of fuzzy differential equation for prey–predator system under Z-number fuzzy and granular differentiability concept

Hati,

Panigrahi,

Maity

2024

RAIRO-Oper. Res.

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The stability analysis is one of the basic problems in the field of system, prey-predator, production inventory control, signal processing etc. The goal of stability analysis for prey-predator and production inventory control model is to determine the region of the different variables and parameters at which the system is stable or unstable. This paper explores an uncertain prey-predator model where both prey and predator populations are fuzzy variables. Also we have considered all the prey-predator parameters of the system are imprecise. This fuzzy prey-predator model is converted to an equivalent crisp model using granular differentiability approach. The condition of local stability is obtained mathematically by analysis the eigenvalues of characteristic equation. And also we introduced a production inventory model as a case study of fuzzy dynamical system to illustrate the efficiency of the result and practical aspects.

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Section: Literature Reviewmentioning

confidence: 99%

Stability analysis of fuzzy differential equation for prey–predator system under Z-number fuzzy and granular differentiability concept

Hati,

Panigrahi,

Maity

2024

RAIRO-Oper. Res.

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“…The stability of the 'Lotka-Volterra predator-prey system' with fuzzy impulse control has not yet been extensively studied in any literature. Therefore, with the help of fuzzy impulse control and the T-S mathematical model, the stability of the 'prey-predator' system is studied [33][34][35][36][37][38].…”

Section: Introductionmentioning

confidence: 99%

Population dynamic study of interaction between two predators and one prey

Singh,

Kaladhar

2024

Phys. Scr.

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In the present study, we develop a set of ordinary differential equations that simulate the interactions of an ecological system with two predators and one prey. Here, we have investigated the interaction dynamics between one prey and two predators. The three-dimensional Lotka-Volterra prey-predator system's stability has been investigated using the Takagi-Sugeno (T-S) impulse control model and the fuzzy impulse control model. After the model is created, numerical simulations are used to determine the model’s global stability and fuzzy solution. Graphical representations are provided together with suitable explanations to understand the workings of our proposed model.

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Stability Analysis of Imprecise Prey-Predator Model

De¹,

Khatua²,

Maity³

et al. 2021

Intelligence Science III

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Since the last few decades, the prey-predator system delivers attractive mathematical models to analyse the dynamics of preypredator interaction. Due to the lack of precise information about the natural parameters, a significant number of research works have been carried out to take care of the impreciseness of the natural parameters in the prey-predator models. Due to direct impact of the imprecise parameters on the variables, the variables also become imprecise. In this paper, we developed an imprecise prey-predator model considering both prey and predator population as imprecise variables. Also, we have assumed the parameters of the prey-predator system as imprecise. The imprecise prey-predator model is converted to an equivalent crisp model using "e" and "g" operator method. The condition for local stability for the deterministic system is obtained mathematically by analysing the eigenvalues of the characteristic equation. Furthermore, numerical simulations are presented in tabular and graphical form to validate the theoretical results.

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Stability Analysis of Predator‐Prey System with Fuzzy Impulsive Control

Cited by 8 publications

References 23 publications

Stability analysis of fuzzy differential equation for prey–predator system under Z-number fuzzy and granular differentiability concept

Stability analysis of fuzzy differential equation for prey–predator system under Z-number fuzzy and granular differentiability concept

Population dynamic study of interaction between two predators and one prey

Stability Analysis of Imprecise Prey-Predator Model

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