| Title |
Reduction of Nonautonomous Population Dynamics Models with Two Time Scales
|
|---|---|
| Published in |
Acta Biotheoretica, May 2014
|
| DOI | 10.1007/s10441-014-9221-0 |
| Pubmed ID | |
| Authors |
Marcos Marvá, Rafael Bravo de la Parra |
| Abstract |
The purpose of this work is reviewing some reduction results to deal with systems of nonautonomous ordinary differential equations with two time scales. They could be included among the so-called approximate aggregation methods. The existence of different time scales in a system, together with some long-term features, are used to build up a simpler system governed by a lesser number of state variables. The asymptotic behavior of the latter system is then used to describe the asymptotic behaviour of the former one. The reduction results are stated in two particular but important cases: periodic systems and asymptotically autonomous systems. The reduction results are illustrated with the help of simple spatial SIS epidemic models including either periodic or asymptotically autonomous terms. |
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Geographical breakdown
| Country | Count | As % |
|---|---|---|
| Unknown | 1 | 100% |
Demographic breakdown
| Type | Count | As % |
|---|---|---|
| Members of the public | 1 | 100% |
Mendeley readers
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Geographical breakdown
| Country | Count | As % |
|---|---|---|
| Unknown | 5 | 100% |
Demographic breakdown
| Readers by professional status | Count | As % |
|---|---|---|
| Student > Bachelor | 2 | 40% |
| Professor | 1 | 20% |
| Student > Ph. D. Student | 1 | 20% |
| Student > Doctoral Student | 1 | 20% |
| Readers by discipline | Count | As % |
|---|---|---|
| Mathematics | 2 | 40% |
| Environmental Science | 1 | 20% |
| Biochemistry, Genetics and Molecular Biology | 1 | 20% |
| Engineering | 1 | 20% |
Attention Score in Context
This research output has an Altmetric Attention Score of 1. This is our high-level measure of the quality and quantity of online attention that it has received. This Attention Score, as well as the ranking and number of research outputs shown below, was calculated when the research output was last mentioned on 02 October 2014.
All research outputs
#17,285,668
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Outputs from Acta Biotheoretica
#125
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Outputs of similar age from Acta Biotheoretica
#2
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