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

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dc.contributor.author Simelane, S.M.
dc.contributor.author Abelman, S.
dc.contributor.author Duncan, F.D.
dc.date.accessioned 2016-05-23T15:00:27Z
dc.date.available 2016-05-23T15:00:27Z
dc.date.issued 2014-09-03
dc.identifier.citation Simelane, 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.issn 1085-3375 (Print)
dc.identifier.issn 1687-0409 (Online)
dc.identifier.uri http://hdl.handle.net/10539/20393
dc.description.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. en_ZA
dc.language.iso en en_ZA
dc.publisher Hindawi Publishing Corporation en_ZA
dc.subject pulmonary gas exchange en_ZA
dc.subject Differential equations en_ZA
dc.subject Carbon dioxide en_ZA
dc.subject Water vapor en_ZA
dc.subject Oxygen en_ZA
dc.subject LOTKA-Volterra equations en_ZA
dc.subject Industrial Gas Manufacturing en_ZA
dc.title Dynamics of the oxygen, carbon dioxide, and water interaction across the insect spiracle en_ZA
dc.type Article en_ZA


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