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Weak solution and global qualitative behaviour of a prion proliferation model in the presence of chaperone

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dc.contributor.author Kumar, Rajesh
dc.date.accessioned 2025-02-12T10:44:38Z
dc.date.available 2025-02-12T10:44:38Z
dc.date.issued 2022-08
dc.identifier.uri https://dl.acm.org/doi/abs/10.1007/s10440-022-00512-y
dc.identifier.uri http://dspace.bits-pilani.ac.in:8080/jspui/handle/123456789/17634
dc.description.abstract In this article, a prion proliferation system in the presence of a chaperone, which involves two ODEs and an integro-partial differential equation, is studied. The existence of weak solution results obtained in Laurençot and Walker (J. Evol. Equ. 7:241–264, 2007) is extended by incorporating chaperone. Further, we study the uniqueness of solution under the sufficient conditions proposed in Laurençot and Walker (J. Evol. Equ. 7:241–264, 2007). In addition, the qualitative global results of disease and disease-free equilibrium points are proved analytically. The effect of the chaperone on prion population is also presented numerically. en_US
dc.language.iso en en_US
dc.publisher ACM Digital Library en_US
dc.subject Mathematics en_US
dc.subject Mathematical modeling en_US
dc.subject Qualitative behavior en_US
dc.subject Bifurcation analysis en_US
dc.title Weak solution and global qualitative behaviour of a prion proliferation model in the presence of chaperone en_US
dc.type Article en_US


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