Dynamics of the oxygen, carbon dioxide, and water interaction across the insect spiracle

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dc.contributor.authorSimelane, S.M.
dc.contributor.authorAbelman, S.
dc.contributor.authorDuncan, F.D.
dc.date.accessioned2016-05-23T15:00:27Z
dc.date.available2016-05-23T15:00:27Z
dc.date.issued2014-09-03
dc.description.abstractThis 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.en_ZA
dc.identifier.citationSimelane, S.M., Abelman, S. and Duncan, F.D. 2014. Dynamics of the oxygen, carbon dioxide, and water interaction across the insect spiracle. Abstract and Applied Analysis 2014.en_ZA
dc.identifier.issn1085-3375 (Print)
dc.identifier.issn1687-0409 (Online)
dc.identifier.urihttp://hdl.handle.net/10539/20393
dc.language.isoenen_ZA
dc.publisherHindawi Publishing Corporationen_ZA
dc.subjectpulmonary gas exchangeen_ZA
dc.subjectDifferential equationsen_ZA
dc.subjectCarbon dioxideen_ZA
dc.subjectWater vaporen_ZA
dc.subjectOxygenen_ZA
dc.subjectLOTKA-Volterra equationsen_ZA
dc.subjectIndustrial Gas Manufacturingen_ZA
dc.titleDynamics of the oxygen, carbon dioxide, and water interaction across the insect spiracleen_ZA
dc.typeArticleen_ZA
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