Dynamics of a Predator-Prey Population in the Presence of Resource Subsidy under the Influence of Nonlinear Prey Refuge and Fear Effect
In this work, our aim is to investigate the impact of a non-Kolmogorov predator-prey-subsidy model incorporating nonlinear prey refuge and the effect of fear with Holling type II functional response. The model arises from the study of a biological system involving arctic foxes (predator), lemmings (...
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2021
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ftdoajarticles:oai:doaj.org/article:1609dd233b554d92bdc178f8f5b05e6b 2023-05-15T15:08:33+02:00 Dynamics of a Predator-Prey Population in the Presence of Resource Subsidy under the Influence of Nonlinear Prey Refuge and Fear Effect Sudeshna Mondal G. P. Samanta Juan J. Nieto 2021-01-01T00:00:00Z https://doi.org/10.1155/2021/9963031 https://doaj.org/article/1609dd233b554d92bdc178f8f5b05e6b EN eng Hindawi-Wiley http://dx.doi.org/10.1155/2021/9963031 https://doaj.org/toc/1076-2787 https://doaj.org/toc/1099-0526 1076-2787 1099-0526 doi:10.1155/2021/9963031 https://doaj.org/article/1609dd233b554d92bdc178f8f5b05e6b Complexity, Vol 2021 (2021) Electronic computers. Computer science QA75.5-76.95 article 2021 ftdoajarticles https://doi.org/10.1155/2021/9963031 2022-12-31T16:26:33Z In this work, our aim is to investigate the impact of a non-Kolmogorov predator-prey-subsidy model incorporating nonlinear prey refuge and the effect of fear with Holling type II functional response. The model arises from the study of a biological system involving arctic foxes (predator), lemmings (prey), and seal carcasses (subsidy). The positivity and asymptotically uniform boundedness of the solutions of the system have been derived. Analytically, we have studied the criteria for the feasibility and stability of different equilibrium points. In addition, we have derived sufficient conditions for the existence of local bifurcations of codimension 1 (transcritical and Hopf bifurcation). It is also observed that there is some time lag between the time of perceiving predator signals through vocal cues and the reduction of prey’s birth rate. So, we have analyzed the dynamical behaviour of the delayed predator-prey-subsidy model. Numerical computations have been performed using MATLAB to validate all the analytical findings. Numerically, it has been observed that the predator, prey, and subsidy can always exist at a nonzero subsidy input rate. But, at a high subsidy input rate, the prey population cannot persist and the predator population has a huge growth due to the availability of food sources. Article in Journal/Newspaper Arctic Directory of Open Access Journals: DOAJ Articles Arctic Complexity 2021 1 38 |
institution |
Open Polar |
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Directory of Open Access Journals: DOAJ Articles |
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ftdoajarticles |
language |
English |
topic |
Electronic computers. Computer science QA75.5-76.95 |
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Electronic computers. Computer science QA75.5-76.95 Sudeshna Mondal G. P. Samanta Juan J. Nieto Dynamics of a Predator-Prey Population in the Presence of Resource Subsidy under the Influence of Nonlinear Prey Refuge and Fear Effect |
topic_facet |
Electronic computers. Computer science QA75.5-76.95 |
description |
In this work, our aim is to investigate the impact of a non-Kolmogorov predator-prey-subsidy model incorporating nonlinear prey refuge and the effect of fear with Holling type II functional response. The model arises from the study of a biological system involving arctic foxes (predator), lemmings (prey), and seal carcasses (subsidy). The positivity and asymptotically uniform boundedness of the solutions of the system have been derived. Analytically, we have studied the criteria for the feasibility and stability of different equilibrium points. In addition, we have derived sufficient conditions for the existence of local bifurcations of codimension 1 (transcritical and Hopf bifurcation). It is also observed that there is some time lag between the time of perceiving predator signals through vocal cues and the reduction of prey’s birth rate. So, we have analyzed the dynamical behaviour of the delayed predator-prey-subsidy model. Numerical computations have been performed using MATLAB to validate all the analytical findings. Numerically, it has been observed that the predator, prey, and subsidy can always exist at a nonzero subsidy input rate. But, at a high subsidy input rate, the prey population cannot persist and the predator population has a huge growth due to the availability of food sources. |
format |
Article in Journal/Newspaper |
author |
Sudeshna Mondal G. P. Samanta Juan J. Nieto |
author_facet |
Sudeshna Mondal G. P. Samanta Juan J. Nieto |
author_sort |
Sudeshna Mondal |
title |
Dynamics of a Predator-Prey Population in the Presence of Resource Subsidy under the Influence of Nonlinear Prey Refuge and Fear Effect |
title_short |
Dynamics of a Predator-Prey Population in the Presence of Resource Subsidy under the Influence of Nonlinear Prey Refuge and Fear Effect |
title_full |
Dynamics of a Predator-Prey Population in the Presence of Resource Subsidy under the Influence of Nonlinear Prey Refuge and Fear Effect |
title_fullStr |
Dynamics of a Predator-Prey Population in the Presence of Resource Subsidy under the Influence of Nonlinear Prey Refuge and Fear Effect |
title_full_unstemmed |
Dynamics of a Predator-Prey Population in the Presence of Resource Subsidy under the Influence of Nonlinear Prey Refuge and Fear Effect |
title_sort |
dynamics of a predator-prey population in the presence of resource subsidy under the influence of nonlinear prey refuge and fear effect |
publisher |
Hindawi-Wiley |
publishDate |
2021 |
url |
https://doi.org/10.1155/2021/9963031 https://doaj.org/article/1609dd233b554d92bdc178f8f5b05e6b |
geographic |
Arctic |
geographic_facet |
Arctic |
genre |
Arctic |
genre_facet |
Arctic |
op_source |
Complexity, Vol 2021 (2021) |
op_relation |
http://dx.doi.org/10.1155/2021/9963031 https://doaj.org/toc/1076-2787 https://doaj.org/toc/1099-0526 1076-2787 1099-0526 doi:10.1155/2021/9963031 https://doaj.org/article/1609dd233b554d92bdc178f8f5b05e6b |
op_doi |
https://doi.org/10.1155/2021/9963031 |
container_title |
Complexity |
container_volume |
2021 |
container_start_page |
1 |
op_container_end_page |
38 |
_version_ |
1766339888359145472 |