Approximate Analytic Solutions of the Lotka-Volterra System
The equation for the orbit of the Lotka-Volterra system is approximately solved for one of two variables in terms of the other by using the Pade approximant of order (2, 2) for the function ex-x-1. The approximate formulas are found to describe the time behavior of the solutions. A comparison with n...
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| Published in | Applications of Mathematics in Engineering and Economics '34 (AIP Conference Proceedings Volume 1067) Vol. 1067; pp. 333 - 340 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
01.01.2008
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| Online Access | Get full text |
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| Summary: | The equation for the orbit of the Lotka-Volterra system is approximately solved for one of two variables in terms of the other by using the Pade approximant of order (2, 2) for the function ex-x-1. The approximate formulas are found to describe the time behavior of the solutions. A comparison with numerical calculations is demonstrated. |
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| Bibliography: | SourceType-Scholarly Journals-2 ObjectType-Feature-2 ObjectType-Conference Paper-1 content type line 23 SourceType-Conference Papers & Proceedings-1 ObjectType-Article-3 |
| ISBN: | 0735405980 9780735405981 |
| ISSN: | 0094-243X |
| DOI: | 10.1063/1.3030804 |