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A mathematical model for the effect of toxicant on the immune system

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dc.contributor.author Dubey, Balram
dc.contributor.author Dubey, Uma S.
dc.date.accessioned 2023-07-26T04:44:10Z
dc.date.available 2023-07-26T04:44:10Z
dc.date.issued 2007
dc.identifier.uri https://www.worldscientific.com/doi/abs/10.1142/S0218339007002301
dc.identifier.uri http://dspace.bits-pilani.ac.in:8080/xmlui/handle/123456789/11012
dc.description.abstract In this paper, a nonlinear mathematical model is proposed and analyzed to study the effect of environmental toxicant on the immune response of the body. Criteria for local stability, instability and global stability are obtained. It is shown that the immune response of the body decreases as the concentration of environmental toxicant increases, and certain criteria are obtained under which it settles down at its equilibrium level. In the absence of toxicant, an oscillatory behavior of immune system and pathogenic growth is observed. However, in the presence of toxicant, oscillatory behavior is not observed. These studies show that the toxicant may have a grave effect on our body's defense mechanism. en_US
dc.language.iso en en_US
dc.publisher World Scientific en_US
dc.subject Mathematics en_US
dc.subject Pathogen en_US
dc.subject Immune response en_US
dc.subject Toxicant en_US
dc.subject Stability en_US
dc.title A mathematical model for the effect of toxicant on the immune system en_US
dc.type Article en_US


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