Cargando…
Treatment of infected predators under the influence of fear-induced refuge
In this research, we delve into the dynamics of an infected predator–prey system in the presence of fear and refuge, presenting a novel inclusion of treatment for infected individuals in this type of model. Through our analytical efforts, we establish a significant reproduction number that holds a p...
Autores principales: | , , |
---|---|
Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Nature Publishing Group UK
2023
|
Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10547801/ https://www.ncbi.nlm.nih.gov/pubmed/37789014 http://dx.doi.org/10.1038/s41598-023-43021-0 |
_version_ | 1785115134461476864 |
---|---|
author | Mondal, Bapin Sarkar, Abhijit Sk, Nazmul |
author_facet | Mondal, Bapin Sarkar, Abhijit Sk, Nazmul |
author_sort | Mondal, Bapin |
collection | PubMed |
description | In this research, we delve into the dynamics of an infected predator–prey system in the presence of fear and refuge, presenting a novel inclusion of treatment for infected individuals in this type of model. Through our analytical efforts, we establish a significant reproduction number that holds a pivotal role in determining disease extinction or persistence within the system. A noteworthy threshold value for this reproduction number delineates a boundary below which the infected population cannot endure in the system. It’s important to note that a range of reproduction numbers leads to both disease-free and endemic scenarios, yet the stability of these situations is contingent upon the initial population sizes. Furthermore, our investigation extends to the exploration of various types of bifurcation-namely, Backward, Saddle-node, and Hopf bifurcations. These findings unravel the intricate and diverse dynamics of the system. Of particular significance is the derivation of an optimal control policy for treatment, augmenting the practical utility of our work. The robustness of our analytical findings is fortified through meticulous verification via numerical simulations. These simulations not only bolster the credibility of our analytical results but also enhance their accessibility. Our study unveils that fear, refuge, and treatment possess individual capabilities to eradicate the disease from the system. Notably, increasing levels of fear and refuge exert a passive influence on the elimination of the infected population, whereas treatment wields an active influence-a crucial insight that bolsters the foundation of our model. Furthermore, our investigation uncovers a spectrum of system dynamics including bistability, one-period, two-period, and multi-period/chaotic behavior. These discoveries contribute to a profound enrichment of the system’s dynamic landscape. |
format | Online Article Text |
id | pubmed-10547801 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2023 |
publisher | Nature Publishing Group UK |
record_format | MEDLINE/PubMed |
spelling | pubmed-105478012023-10-05 Treatment of infected predators under the influence of fear-induced refuge Mondal, Bapin Sarkar, Abhijit Sk, Nazmul Sci Rep Article In this research, we delve into the dynamics of an infected predator–prey system in the presence of fear and refuge, presenting a novel inclusion of treatment for infected individuals in this type of model. Through our analytical efforts, we establish a significant reproduction number that holds a pivotal role in determining disease extinction or persistence within the system. A noteworthy threshold value for this reproduction number delineates a boundary below which the infected population cannot endure in the system. It’s important to note that a range of reproduction numbers leads to both disease-free and endemic scenarios, yet the stability of these situations is contingent upon the initial population sizes. Furthermore, our investigation extends to the exploration of various types of bifurcation-namely, Backward, Saddle-node, and Hopf bifurcations. These findings unravel the intricate and diverse dynamics of the system. Of particular significance is the derivation of an optimal control policy for treatment, augmenting the practical utility of our work. The robustness of our analytical findings is fortified through meticulous verification via numerical simulations. These simulations not only bolster the credibility of our analytical results but also enhance their accessibility. Our study unveils that fear, refuge, and treatment possess individual capabilities to eradicate the disease from the system. Notably, increasing levels of fear and refuge exert a passive influence on the elimination of the infected population, whereas treatment wields an active influence-a crucial insight that bolsters the foundation of our model. Furthermore, our investigation uncovers a spectrum of system dynamics including bistability, one-period, two-period, and multi-period/chaotic behavior. These discoveries contribute to a profound enrichment of the system’s dynamic landscape. Nature Publishing Group UK 2023-10-03 /pmc/articles/PMC10547801/ /pubmed/37789014 http://dx.doi.org/10.1038/s41598-023-43021-0 Text en © The Author(s) 2023 https://creativecommons.org/licenses/by/4.0/Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) . |
spellingShingle | Article Mondal, Bapin Sarkar, Abhijit Sk, Nazmul Treatment of infected predators under the influence of fear-induced refuge |
title | Treatment of infected predators under the influence of fear-induced refuge |
title_full | Treatment of infected predators under the influence of fear-induced refuge |
title_fullStr | Treatment of infected predators under the influence of fear-induced refuge |
title_full_unstemmed | Treatment of infected predators under the influence of fear-induced refuge |
title_short | Treatment of infected predators under the influence of fear-induced refuge |
title_sort | treatment of infected predators under the influence of fear-induced refuge |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10547801/ https://www.ncbi.nlm.nih.gov/pubmed/37789014 http://dx.doi.org/10.1038/s41598-023-43021-0 |
work_keys_str_mv | AT mondalbapin treatmentofinfectedpredatorsundertheinfluenceoffearinducedrefuge AT sarkarabhijit treatmentofinfectedpredatorsundertheinfluenceoffearinducedrefuge AT sknazmul treatmentofinfectedpredatorsundertheinfluenceoffearinducedrefuge |