Effect of seasonally forced noisy environment on aquatic prey–predator model with water level fluctuations

Sarkar, Abhijit; Sk, Nazmul; Pal, Samares

doi:10.1063/5.0087838

Cited by 5 publications

(1 citation statement)

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“…Investigations on fear‐induced prey–predator systems with stochastic environments revealed that under lower environmental disturbances, model species fluctuate around average deterministic steady‐state values, while higher disturbances lead to species extinction [17]. Research assessing the impact of environmental noise on prey–predator interactions with seasonal water level fluctuations highlighted the significant roles played by noise intensity and water level variations in aquatic systems [22]. In a recent study exploring a predator–prey system within a stochastic environment featuring a modified Holling type II functional response, harvesting, and the Allee effect, the stochastic nature of the system unveiled various transitions, particularly notable in scenarios with heightened noise intensity [23].…”

Section: Introductionmentioning

confidence: 99%

Dynamics of a generalist predator–prey system with harvesting and hunting cooperation in deterministic/stochastic environment

Sha,

Roy,

Kumar Tiwari

et al. 2024

Math Methods in App Sciences

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In this investigation, we explore a predator–prey system characterized by generalist predators exhibiting cooperative behavior during hunting, subject to nonlinear harvesting rate. Employing a Beverton–Holt type functional response to capture the impact of additional food sources on predator growth, our numerical findings affirm the destabilizing influence of hunting cooperation, excessive predation, and supplementary food sources. Conversely, the system demonstrates stabilization in response to increased prey species growth. We unveil the occurrence of both forward and backward bifurcations in the system due to the predator growth attributed to additional food sources, contingent on the degree of hunting cooperation. To broaden the scope, we extend our proposed model to its stochastic counterpart, introducing environmental white noises. Our numerical results anticipate that higher intensities of white noises lead to fluctuations of greater amplitude, while smaller intensities exhibit a more modest impact. Additionally, we elucidate the dynamics of prey and predator populations through histogram plots. The theoretical and numerical insights derived from this study provide a deeper understanding of the intricate dynamics within predator–prey systems of ecological communities, emphasizing the significance of additional food sources for cooperative predators subject to harvesting in both constant and fluctuating environments.

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Section: Introductionmentioning

confidence: 99%

Dynamics of a generalist predator–prey system with harvesting and hunting cooperation in deterministic/stochastic environment

Sha,

Roy,

Kumar Tiwari

et al. 2024

Math Methods in App Sciences

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Cooperation-mediated regime shifts in a disease-dominated prey–predator system

Biswas¹,

Mandal²

2023

Chaos, Solitons & Fractals

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Schooling behavior driven complexities in a fear-induced prey–predator system with harvesting under deterministic and stochastic environments

Pal

2023

Sci Rep

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The well-being of humans is closely linked to the well-being of species in any ecosystem, but the relationship between humans and nature has changed over time as societies have become more industrialized. In order to ensure the future of our ecosystems, we need to protect our planet’s biodiversity. In this work, a prey–predator model with fear dropping prey’s birth as well as death rates and nonlinear harvesting, is investigated. In addition, we consider that the consumption rate of predators, i.e., the functional response, is dependent on schooling behavior of both species. We have investigated the local stability of the equilibrium points and different types of bifurcations, such as transcritical, saddle-node, Hopf and Bogdanov–Takens (BT). We find that consumption rate of predator, fear and harvesting effort give complex dynamics in the neighbourhood of BT-points. Harvesting effort has both stabilizing and destabilizing effects. There is bistability between coexistence and predator-free equilibrium points in the system. Further, we have studied the deterministic model in fluctuating environment. Simulation results of stochastic system includes time series solutions of one simulation run and corresponding phase portraits. Notably, several simulation runs are conducted to obtain time series solutions, histograms, and stationary distributions. Our findings exhibit that during stochastic processes, model species fluctuate around some average values of the deterministic steady-state for lower environmental disturbances. However, higher values of environmental disturbances lead the species to extinction.

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Effect of seasonally forced noisy environment on aquatic prey–predator model with water level fluctuations

Cited by 5 publications

References 50 publications

Dynamics of a generalist predator–prey system with harvesting and hunting cooperation in deterministic/stochastic environment

Dynamics of a generalist predator–prey system with harvesting and hunting cooperation in deterministic/stochastic environment

Cooperation-mediated regime shifts in a disease-dominated prey–predator system

Schooling behavior driven complexities in a fear-induced prey–predator system with harvesting under deterministic and stochastic environments

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