On modification and application of Lotka-Volterra competition model
Lotka-Volterra competition model has been applied in many areas, including in biological systems and market-share competition in economics. In this paper, we study a modified version of the two-species competition model where the growth of the first population follows the exponential growth model. T...
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id-langga.1275712023-06-24T09:31:15Z https://repository.unair.ac.id/127571/ On modification and application of Lotka-Volterra competition model Windarto, ,- Eridani, ,- QA1 Mathematics (General) QA297-299.4 Numerical Analysis QA370-387 Differential Equations Lotka-Volterra competition model has been applied in many areas, including in biological systems and market-share competition in economics. In this paper, we study a modified version of the two-species competition model where the growth of the first population follows the exponential growth model. The modified model has three equilibria namely the extinction equilibrium, the coexistence equilibrium, and the extinction of first population equilibrium. We found that the extinction equilibrium and the coexistence equilibrium are unstable. We also found that the extinction of the first population is conditionally asymptotically stable. Furthermore, we estimated parameters of the modified model from competition data of two Paramecium species, where the data cited from literature AIP Publishing Book Section PeerReviewed text en https://repository.unair.ac.id/127571/1/C13.%20Fulltext.pdf text en https://repository.unair.ac.id/127571/3/C13.%20Similarity.pdf text en https://repository.unair.ac.id/127571/4/C13.%20Penilaian%20dan%20Validasi_fix.pdf Windarto, ,- and Eridani, ,- On modification and application of Lotka-Volterra competition model. In: THE 4TH INDOMS INTERNATIONAL CONFERENCE ON MATHEMATICS AND ITS APPLICATION (IICMA 2019). AIP Publishing. https://pubs.aip.org/aip/acp/article-abstract/2268/1/050007/1002001/On-modification-and-application-of-Lotka-Volterra?redirectedFrom=fulltext |
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QA1 Mathematics (General) QA297-299.4 Numerical Analysis QA370-387 Differential Equations Windarto, ,- Eridani, ,- On modification and application of Lotka-Volterra competition model |
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Lotka-Volterra competition model has been applied in many areas, including in biological systems and market-share competition in economics. In this paper, we study a modified version of the two-species competition model where the growth of the first population follows the exponential growth model. The modified model has three equilibria namely the extinction equilibrium, the coexistence equilibrium, and the extinction of first population equilibrium. We found that the extinction equilibrium and the coexistence equilibrium are unstable. We also found that the extinction of the first population is conditionally asymptotically stable. Furthermore, we estimated parameters of the modified model from competition data of two Paramecium species, where the data cited from literature |
format |
Book Section PeerReviewed |
author |
Windarto, ,- Eridani, ,- |
author_facet |
Windarto, ,- Eridani, ,- |
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Windarto, ,- |
title |
On modification and application of Lotka-Volterra competition model |
title_short |
On modification and application of Lotka-Volterra competition model |
title_full |
On modification and application of Lotka-Volterra competition model |
title_fullStr |
On modification and application of Lotka-Volterra competition model |
title_full_unstemmed |
On modification and application of Lotka-Volterra competition model |
title_sort |
on modification and application of lotka-volterra competition model |
publisher |
AIP Publishing |
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https://repository.unair.ac.id/127571/1/C13.%20Fulltext.pdf https://repository.unair.ac.id/127571/3/C13.%20Similarity.pdf https://repository.unair.ac.id/127571/4/C13.%20Penilaian%20dan%20Validasi_fix.pdf https://repository.unair.ac.id/127571/ https://pubs.aip.org/aip/acp/article-abstract/2268/1/050007/1002001/On-modification-and-application-of-Lotka-Volterra?redirectedFrom=fulltext |
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