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Published in 2024 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.10470
Abstract: In this paper, we consider the spatiotemporal dynamics behaviors of a Leslie–Gower diffusion predator–prey system with prey refuge and Beddington–DeAnglis (B‐D) functional response. By using the Poincaré inequality and topological degree theory, we first investigate…
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Keywords:
bifurcation;
leslie gower;
gower diffusion;
prey ... See more keywords
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Published in 2017 at "Computational and Applied Mathematics"
DOI: 10.1007/s40314-015-0282-8
Abstract: This article is concerned with the optimal harvesting of a predator–prey model with a prey refuge and imprecise biological parameters. We consider the model under impreciseness and introduce a parametric functional form of an interval…
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Keywords:
prey;
predator prey;
system;
incorporating prey ... See more keywords
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Published in 2024 at "Computational and Applied Mathematics"
DOI: 10.1007/s40314-024-02858-5
Abstract: In this article, we discuss sustainable harvesting using a Filippov predator–prey system, which can produce yield and at the same time prevent over-exploitation of bioresources. The model is composed of two subsystems and the dynamics…
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Keywords:
system;
discontinuous harvesting;
filippov system;
policy filippov ... See more keywords
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Published in 2019 at "Nonlinear Analysis: Real World Applications"
DOI: 10.1016/j.nonrwa.2019.03.014
Abstract: Abstract In this paper, an age-structured prey–predator model with Holling type II functional response incorporating a prey refuge is constructed. Through applying the method of integrated semigroup and the Hopf bifurcation theory for semilinear equations…
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Keywords:
hopf bifurcation;
predator;
prey refuge;
age structured ... See more keywords
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Published in 2022 at "Chaos"
DOI: 10.1063/5.0126782
Abstract: This study presents a qualitative analysis of a modified Leslie-Gower prey-predator model with fear effect and prey refuge in the presence of diffusion and time delay. For the non-delayed temporal system, we examined the dissipativeness…
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Keywords:
system;
fear effect;
prey refuge;
predator ... See more keywords
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Published in 2021 at "International Journal of Modelling and Simulation"
DOI: 10.1080/02286203.2021.1949233
Abstract: ABSTRACT In the present article, we have made an attempt to control the population dynamics under the influence of additional food and prey refuge. We have analyzed dynamic behaviour of predator–prey interaction where predator biomass…
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Keywords:
additional food;
predator;
prey refuge;
food ... See more keywords
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Published in 2025 at "International Journal of Biomathematics"
DOI: 10.1142/s1793524525501505
Abstract: In a modified Holling–Tanner predator–prey model, the introduction of a constant prey refuge can lead to complex dynamics, including multi-type bistability and complex bifurcations, which is highly susceptible to environmental perturbations. In this paper, we…
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Keywords:
prey;
tanner predator;
modified holling;
holling tanner ... See more keywords
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Published in 2025 at "Mathematics"
DOI: 10.3390/math13213362
Abstract: The control of infectious diseases plays a critical role in safeguarding the health of species and ecosystems. In this study, we investigate the combined effects of prey refuge and harvesting as mechanisms to limit the…
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Keywords:
disease;
predator;
refuge harvesting;
control predator ... See more keywords