Stability analysis of two predators and one prey population model with harvesting in fisheries management

Didiharyono, D.; Toaha, Syamsuddin; Kusuma, Jeffry; Kasbawati,

doi:10.1088/1755-1315/921/1/012005

Cited by 4 publications

(2 citation statements)

References 11 publications

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“…The authors [9], [10] examined a predator-prey model with a type III Holling response function assuming prey limitations from predators at each trophic level and predator harvesting. The authors [11], [12], investigated the prey-predator model with harvesting of predatory species and critical biomass levels. Species migrating from reservation areas to unreservation areas or from unreservation areas to reservation areas involve predator interactions in one of the zones discussed by the authors [13], [14].…”

Section: Introductionmentioning

confidence: 99%

Stability Analysis of Prey-Predator Model Migration with Holling Type-III Response Function in The Presence of Competition and Toxicity

Agus,

Toaha,

Kasbawati

et al. 2024

E3S Web Conf.

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In this paper, we propose and investigate a prey-predator model with two zones contaminated with heavy metal toxicity, especially copper (Cu), which enter the reservation zone and the unreserved zone in the aquatic environment. The dynamics of the prey population in the ecosystem can migrate from the reservation zone to the unreserved zone or vice versa, while predators are assumed to look for prey in the unreserved zone. The dynamic behavior of the population is expressed as a system of differential equations based on food intake capacity and other factors. We introduce a predator population with a Holling type III predation response function, coupled with inter-specific competition among prey due to overlapping diets and assuming the prey is contaminated with copper metal toxicity. The presence of a positive equilibrium point, namely the interior equilibrium point, is analyzed and investigated for its stability using the Routh-Hurwitz stability test. Numerical simulations are carried out to verify the results of the analysis and dynamics of the system solution. The results of the analysis of the interior equilibrium point T3 in each case is a stable point. This indicates a change in the balance of prey populations and predator populations.

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Section: Introductionmentioning

confidence: 99%

Stability Analysis of Prey-Predator Model Migration with Holling Type-III Response Function in The Presence of Competition and Toxicity

Agus,

Toaha,

Kasbawati

et al. 2024

E3S Web Conf.

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“…Therefore, considering food webs and implementing stability analysis for fishery models is essential in the management of fisheries (see the studies: Kot, 2001;Bergland et al, 2018;Harun et al, 2019;Didiharyono et al, 2021). That is why, in this study, I will use a food chain model and apply stability analysis to get information about fish populations before applying any harvesting strategies.…”

Section: Introductionmentioning

confidence: 99%

Importance of Stability Analysis for Sustainable Fisheries in the Absence of Important Data

Demir

2023

Acta Aquatica Turcica

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In this study, predator-prey relations of a food web are investigated when two species face harvesting in the food web. A food chain model built on ordinary differential equations is used to investigate such a food web. After ensuring the existence of a solution for the food chain model, all the possible equilibrium points are found and investigated. Then, the stability analysis of important equilibrium points is numerically made. After capturing important values of harvest rates for a sustainable fishery, the predator-prey system is investigated under different levels of harvesting. This investigation shows us how important stability analysis is to control fish stocks and capture sustainable fisheries.

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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 two predators and one prey population model with harvesting in fisheries management

Cited by 4 publications

References 11 publications

Stability Analysis of Prey-Predator Model Migration with Holling Type-III Response Function in The Presence of Competition and Toxicity

Stability Analysis of Prey-Predator Model Migration with Holling Type-III Response Function in The Presence of Competition and Toxicity

Importance of Stability Analysis for Sustainable Fisheries in the Absence of Important Data

Population dynamic study of interaction between two predators and one prey

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