Role of seasonality on predator-prey-subsidy population dynamics
The role of seasonality on predator-prey interactions in the presence of a resource subsidy is examined using a system of non-autonomous ordinary differential equations (ODEs). The problem is motivated by the Arctic, inhabited by the ecological system of arctic foxes (predator), lemmings (prey), and...
Published in: | Journal of Theoretical Biology |
---|---|
Main Authors: | , , |
Format: | Article in Journal/Newspaper |
Language: | English |
Published: |
Elsevier
2016
|
Subjects: | |
Online Access: | https://doi.org/10.1016/j.jtbi.2016.02.005 https://ora.ox.ac.uk/objects/uuid:a955a71e-3cbc-469b-98fd-59e2902d43f1 |
id |
ftuloxford:oai:ora.ox.ac.uk:uuid:a955a71e-3cbc-469b-98fd-59e2902d43f1 |
---|---|
record_format |
openpolar |
spelling |
ftuloxford:oai:ora.ox.ac.uk:uuid:a955a71e-3cbc-469b-98fd-59e2902d43f1 2023-05-15T14:56:17+02:00 Role of seasonality on predator-prey-subsidy population dynamics Levy, D Harrington, H Van Gorder, R 2016-07-29 https://doi.org/10.1016/j.jtbi.2016.02.005 https://ora.ox.ac.uk/objects/uuid:a955a71e-3cbc-469b-98fd-59e2902d43f1 eng eng Elsevier doi:10.1016/j.jtbi.2016.02.005 https://ora.ox.ac.uk/objects/uuid:a955a71e-3cbc-469b-98fd-59e2902d43f1 https://doi.org/10.1016/j.jtbi.2016.02.005 info:eu-repo/semantics/openAccess CC Attribution-NonCommercial-NoDerivatives (CC BY-NC-ND) CC-BY-NC-ND Journal article 2016 ftuloxford https://doi.org/10.1016/j.jtbi.2016.02.005 2022-06-28T20:20:42Z The role of seasonality on predator-prey interactions in the presence of a resource subsidy is examined using a system of non-autonomous ordinary differential equations (ODEs). The problem is motivated by the Arctic, inhabited by the ecological system of arctic foxes (predator), lemmings (prey), and seal carrion (subsidy). We construct two nonlinear, nonautonomous systems of ODEs named the Primary Model, and the n-Patch Model. The Primary Model considers spatial factors implicitly, and the n-Patch Model considers space explicitly as a "Stepping Stone" system. We establish the boundedness of the dynamics, as well as the necessity of sufficiently nutritional food for the survival of the predator. We investigate the importance of including the resource subsidy explicitly in the model, and the importance of accounting for predator mortality during migration. We find a variety of non-equilibrium dynamics for both systems, obtaining both limit cycles and chaotic oscillations. We were then able to discuss relevant implications for biologically interesting predator-prey systems including subsidy under seasonal effects. Notably, we can observe the extinction or persistence of a species when the corresponding autonomous system might predict the opposite. Article in Journal/Newspaper Arctic ORA - Oxford University Research Archive Arctic Journal of Theoretical Biology 396 163 181 |
institution |
Open Polar |
collection |
ORA - Oxford University Research Archive |
op_collection_id |
ftuloxford |
language |
English |
description |
The role of seasonality on predator-prey interactions in the presence of a resource subsidy is examined using a system of non-autonomous ordinary differential equations (ODEs). The problem is motivated by the Arctic, inhabited by the ecological system of arctic foxes (predator), lemmings (prey), and seal carrion (subsidy). We construct two nonlinear, nonautonomous systems of ODEs named the Primary Model, and the n-Patch Model. The Primary Model considers spatial factors implicitly, and the n-Patch Model considers space explicitly as a "Stepping Stone" system. We establish the boundedness of the dynamics, as well as the necessity of sufficiently nutritional food for the survival of the predator. We investigate the importance of including the resource subsidy explicitly in the model, and the importance of accounting for predator mortality during migration. We find a variety of non-equilibrium dynamics for both systems, obtaining both limit cycles and chaotic oscillations. We were then able to discuss relevant implications for biologically interesting predator-prey systems including subsidy under seasonal effects. Notably, we can observe the extinction or persistence of a species when the corresponding autonomous system might predict the opposite. |
format |
Article in Journal/Newspaper |
author |
Levy, D Harrington, H Van Gorder, R |
spellingShingle |
Levy, D Harrington, H Van Gorder, R Role of seasonality on predator-prey-subsidy population dynamics |
author_facet |
Levy, D Harrington, H Van Gorder, R |
author_sort |
Levy, D |
title |
Role of seasonality on predator-prey-subsidy population dynamics |
title_short |
Role of seasonality on predator-prey-subsidy population dynamics |
title_full |
Role of seasonality on predator-prey-subsidy population dynamics |
title_fullStr |
Role of seasonality on predator-prey-subsidy population dynamics |
title_full_unstemmed |
Role of seasonality on predator-prey-subsidy population dynamics |
title_sort |
role of seasonality on predator-prey-subsidy population dynamics |
publisher |
Elsevier |
publishDate |
2016 |
url |
https://doi.org/10.1016/j.jtbi.2016.02.005 https://ora.ox.ac.uk/objects/uuid:a955a71e-3cbc-469b-98fd-59e2902d43f1 |
geographic |
Arctic |
geographic_facet |
Arctic |
genre |
Arctic |
genre_facet |
Arctic |
op_relation |
doi:10.1016/j.jtbi.2016.02.005 https://ora.ox.ac.uk/objects/uuid:a955a71e-3cbc-469b-98fd-59e2902d43f1 https://doi.org/10.1016/j.jtbi.2016.02.005 |
op_rights |
info:eu-repo/semantics/openAccess CC Attribution-NonCommercial-NoDerivatives (CC BY-NC-ND) |
op_rightsnorm |
CC-BY-NC-ND |
op_doi |
https://doi.org/10.1016/j.jtbi.2016.02.005 |
container_title |
Journal of Theoretical Biology |
container_volume |
396 |
container_start_page |
163 |
op_container_end_page |
181 |
_version_ |
1766328299124948992 |