# Long-Time Simulation of a Size-Structured Population Model with a Dynamical Resource

L. M. Abia; O. Angulo; J. C. López-Marcos; M. A. López-Marcos

Mathematical Modelling of Natural Phenomena (2010)

- Volume: 5, Issue: 6, page 1-21
- ISSN: 0973-5348

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topAbia, L. M., et al. "Long-Time Simulation of a Size-Structured Population Model with a Dynamical Resource." Mathematical Modelling of Natural Phenomena 5.6 (2010): 1-21. <http://eudml.org/doc/197682>.

@article{Abia2010,

abstract = {In this paper, we study the numerical approximation of a size-structured population model
whose dependency on the environment is managed by the evolution of a vital resource. We
show that this is a difficult task: some numerical methods are not suitable for a
long-time integration. We analyze the reasons for the failure.},

author = {Abia, L. M., Angulo, O., López-Marcos, J. C., López-Marcos, M. A.},

journal = {Mathematical Modelling of Natural Phenomena},

keywords = {size-structured population model; dynamical resource; numerical methods},

language = {eng},

month = {4},

number = {6},

pages = {1-21},

publisher = {EDP Sciences},

title = {Long-Time Simulation of a Size-Structured Population Model with a Dynamical Resource},

url = {http://eudml.org/doc/197682},

volume = {5},

year = {2010},

}

TY - JOUR

AU - Abia, L. M.

AU - Angulo, O.

AU - López-Marcos, J. C.

AU - López-Marcos, M. A.

TI - Long-Time Simulation of a Size-Structured Population Model with a Dynamical Resource

JO - Mathematical Modelling of Natural Phenomena

DA - 2010/4//

PB - EDP Sciences

VL - 5

IS - 6

SP - 1

EP - 21

AB - In this paper, we study the numerical approximation of a size-structured population model
whose dependency on the environment is managed by the evolution of a vital resource. We
show that this is a difficult task: some numerical methods are not suitable for a
long-time integration. We analyze the reasons for the failure.

LA - eng

KW - size-structured population model; dynamical resource; numerical methods

UR - http://eudml.org/doc/197682

ER -

## References

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- J.A.J. Metz and E.O. Dieckmann, editors. The Dynamics of Physiologically Structured Populations. Springer Lecture Notes in Biomathematics, 68. Springer, Heildelberg, 1986. Zbl0614.92014
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