ALTERNATIVE MODELS FOR CYCLIC LEMMING DYNAMICS
Abstract. Many natural population growths and interactions are affected by seasonal changes. This suggests that these natural population dynamics should be modeled by nonautonomous differential equations instead of autonomous differential equations. Through a series of carefully derived models of th...
Main Authors: | , |
---|---|
Other Authors: | |
Format: | Text |
Language: | English |
Subjects: | |
Online Access: | http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.62.9168 http://math.la.asu.edu/~kuang/paper/WangKuang.pdf |
id |
ftciteseerx:oai:CiteSeerX.psu:10.1.1.62.9168 |
---|---|
record_format |
openpolar |
spelling |
ftciteseerx:oai:CiteSeerX.psu:10.1.1.62.9168 2023-05-15T15:39:38+02:00 ALTERNATIVE MODELS FOR CYCLIC LEMMING DYNAMICS Hao Wang Yang Kuang The Pennsylvania State University CiteSeerX Archives application/pdf http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.62.9168 http://math.la.asu.edu/~kuang/paper/WangKuang.pdf en eng http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.62.9168 http://math.la.asu.edu/~kuang/paper/WangKuang.pdf Metadata may be used without restrictions as long as the oai identifier remains attached to it. http://math.la.asu.edu/~kuang/paper/WangKuang.pdf text ftciteseerx 2016-01-08T14:57:46Z Abstract. Many natural population growths and interactions are affected by seasonal changes. This suggests that these natural population dynamics should be modeled by nonautonomous differential equations instead of autonomous differential equations. Through a series of carefully derived models of the well documented high-amplitude, large-period fluctuations of lemming populations, we argue that when appropriately formulated, autonomous differential equations may capture much of the desirable rich dynamics such as the existence of a periodic solution with period and amplitude close to that of approximately periodic solutions produced by the more natural but mathematically daunting nonautonomous models. We start this series of models from the Barrow model, a well formulated model for the dynamics of food-lemming interaction at Point Barrow (Alaska, USA) with sufficient experimental data. Our work suggests that autonomous system can indeed be a good approximation to the moss-lemming dynamics at Point Barrow. This together with our bifurcation analysis indicate that neither seasonal factor (expressed by time dependent moss growth rate and lemming death rate in Barrow model), nor the moss growth rate and lemming death rate are the main culprits of the observed multi-year lemming cycles. We suspect that main culprits may include high lemming predation rate, high lemming birth rate and low lemming self-limitation rate. 1. Introduction. Pioneer Text Barrow Point Barrow Alaska Unknown |
institution |
Open Polar |
collection |
Unknown |
op_collection_id |
ftciteseerx |
language |
English |
description |
Abstract. Many natural population growths and interactions are affected by seasonal changes. This suggests that these natural population dynamics should be modeled by nonautonomous differential equations instead of autonomous differential equations. Through a series of carefully derived models of the well documented high-amplitude, large-period fluctuations of lemming populations, we argue that when appropriately formulated, autonomous differential equations may capture much of the desirable rich dynamics such as the existence of a periodic solution with period and amplitude close to that of approximately periodic solutions produced by the more natural but mathematically daunting nonautonomous models. We start this series of models from the Barrow model, a well formulated model for the dynamics of food-lemming interaction at Point Barrow (Alaska, USA) with sufficient experimental data. Our work suggests that autonomous system can indeed be a good approximation to the moss-lemming dynamics at Point Barrow. This together with our bifurcation analysis indicate that neither seasonal factor (expressed by time dependent moss growth rate and lemming death rate in Barrow model), nor the moss growth rate and lemming death rate are the main culprits of the observed multi-year lemming cycles. We suspect that main culprits may include high lemming predation rate, high lemming birth rate and low lemming self-limitation rate. 1. Introduction. Pioneer |
author2 |
The Pennsylvania State University CiteSeerX Archives |
format |
Text |
author |
Hao Wang Yang Kuang |
spellingShingle |
Hao Wang Yang Kuang ALTERNATIVE MODELS FOR CYCLIC LEMMING DYNAMICS |
author_facet |
Hao Wang Yang Kuang |
author_sort |
Hao Wang |
title |
ALTERNATIVE MODELS FOR CYCLIC LEMMING DYNAMICS |
title_short |
ALTERNATIVE MODELS FOR CYCLIC LEMMING DYNAMICS |
title_full |
ALTERNATIVE MODELS FOR CYCLIC LEMMING DYNAMICS |
title_fullStr |
ALTERNATIVE MODELS FOR CYCLIC LEMMING DYNAMICS |
title_full_unstemmed |
ALTERNATIVE MODELS FOR CYCLIC LEMMING DYNAMICS |
title_sort |
alternative models for cyclic lemming dynamics |
url |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.62.9168 http://math.la.asu.edu/~kuang/paper/WangKuang.pdf |
genre |
Barrow Point Barrow Alaska |
genre_facet |
Barrow Point Barrow Alaska |
op_source |
http://math.la.asu.edu/~kuang/paper/WangKuang.pdf |
op_relation |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.62.9168 http://math.la.asu.edu/~kuang/paper/WangKuang.pdf |
op_rights |
Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
_version_ |
1766371637242888192 |