Dynamics of the Oxygen, Carbon Dioxide, and Water Interaction across the Insect Spiracle
This paper explores the dynamics of respiratory gases interactions which are accompanied by the loss of water through an insect’s spiracle. Here we investigate and analyze this interaction by deriving a system of ordinary differential equations for oxygen, carbon dioxide, and water vapor. The analys...
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| Published in | Abstract and Applied Analysis Vol. 2014; no. 2014; pp. 1028 - 1038 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Cairo, Egypt
Hindawi Limiteds
01.01.2014
Hindawi Publishing Corporation Hindawi Limited Wiley |
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| Abstract | This paper explores the dynamics of respiratory gases interactions which are accompanied by the loss of water through an insect’s spiracle. Here we investigate and analyze this interaction by deriving a system of ordinary differential equations for oxygen, carbon dioxide, and water vapor. The analysis is carried out in continuous time. The purpose of the research is to determine bounds for the gas volumes and to discuss the complexity and stability of the equilibria. Numerical simulations also demonstrate the dynamics of our model utilizing the new conditions for stability and instability. |
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| AbstractList | This paper explores the dynamics of respiratory gases interactions which are accompanied by the loss of water through an insect’s spiracle. Here we investigate and analyze this interaction by deriving a system of ordinary differential equations for oxygen, carbon dioxide, and water vapor. The analysis is carried out in continuous time. The purpose of the research is to determine bounds for the gas volumes and to discuss the complexity and stability of the equilibria. Numerical simulations also demonstrate the dynamics of our model utilizing the new conditions for stability and instability. |
| Audience | Academic |
| Author | S. M. Simelane S. Abelman F. D. Duncan |
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| CitedBy_id | crossref_primary_10_1371_journal_pone_0232450 crossref_primary_10_1002_jemt_22890 crossref_primary_10_1242_jeb_130039 |
| Cites_doi | 10.2307/1939644 10.2307/1940006 10.1242/jeb.01928 10.1242/jeb.205.16.2489 10.1016/S0169-5347(00)01908-X 10.2307/1939362 10.1006/tpbi.1999.1414 10.1016/0022-5193(77)90324-1 10.1016/j.ics.2004.08.080 10.1111/j.2006.0030-1299.14362.x 10.1006/jtbi.1995.0016 10.1242/jeb.01168 10.1016/S0022-5193(89)80211-5 10.1073/pnas.0905185107 10.1016/0169-5347(91)90052-Y 10.1016/0022-1910(66)90011-4 10.1038/182491a0 10.1086/physzool.67.1.30163839 10.1038/nature03106 10.1016/0022-1910(74)90136-X 10.1016/S0362-546X(97)00374-X 10.1126/science.1064821 10.2307/1940005 10.1007/978-3-642-59281-2 10.1086/499992 |
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| Copyright | Copyright © 2014 S. M. Simelane et al. COPYRIGHT 2014 Hindawi Limited Copyright © 2014 S. M. Simelane et al. S. M. Simelane et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Copyright 2014 Hindawi Publishing Corporation |
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| Snippet | This paper explores the dynamics of respiratory gases interactions which are accompanied by the loss of water through an insect’s spiracle. Here we investigate... This paper explores the dynamics of respiratory gases interactions which are accompanied by the loss of water through an insect's spiracle. Here we investigate... |
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| SubjectTerms | Analysis Carbon dioxide Colleges & universities Differential equations Equilibrium Equilibrium (Physics) Gases Insects Mathematical models Oxygen |
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| Title | Dynamics of the Oxygen, Carbon Dioxide, and Water Interaction across the Insect Spiracle |
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