A discrete prey-predator model preserving the dynamics of a structurally unstable Lotka-Volterra model
Journal of Difference Equations and Applications Volume 13 Issue 12
Page 1155-1170
published_at 2007-10
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| File | |
| Title ( eng ) |
A discrete prey-predator model preserving the dynamics of a structurally unstable Lotka-Volterra model
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| Creator | |
| Source Title |
Journal of Difference Equations and Applications
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| Volume | 13 |
| Issue | 12 |
| Start Page | 1155 |
| End Page | 1170 |
| Abstract |
Leslie's method to construct a discrete two dimensional dynamical system dynamically consistent with the Lotka-Volterra type of competing two species ordinary differential equations is applied in a newly extended manner for the Lotka-Volterra prey-predator system which is structurally unstable. We show that, independently of the time step size, the derived discrete prey-predator system is dynamically consistent with the continuous counterpart, keeping the nature of neutrally stable periodic orbit. Further, we show that the extended method to construct the discrete prey-predator system can provide a dynamically consistent model also for the logistic Lotka-Volterra one.
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| Keywords |
Lotka-Volterra system
prey-predator model
dynamically consistent
neutrally stable
population dynamics
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| NDC |
Mathematics [ 410 ]
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| Language |
eng
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| Resource Type | journal article |
| Publisher |
Taylor & Francis Ltd
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| Date of Issued | 2007-10 |
| Rights |
Copyright(c) 2007 Taylor & Francis Ltd
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| Publish Type | Author’s Original |
| Access Rights | open access |
| Source Identifier |
This is an electronic version of an article published in Journal of Difference Equations And Applications Vol.13 Issue 12 pp.1155-1170, 2007. Journal of Difference Equations And Applications is available online at : http://journalsonline.tandf.co.uk/ with the open URL of your article.
[ISSN] 1023-6198
[DOI] 10.1080/10236190701464996
[NCID] AA11085838
[DOI] http://dx.doi.org/10.1080/10236190701464996
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