DSpace logo

Please use this identifier to cite or link to this item: http://dspace.bits-pilani.ac.in:8080/jspui/handle/123456789/17634
Title: Weak solution and global qualitative behaviour of a prion proliferation model in the presence of chaperone
Authors: Kumar, Rajesh
Keywords: Mathematics
Mathematical modeling
Qualitative behavior
Bifurcation analysis
Issue Date: Aug-2022
Publisher: ACM Digital Library
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.
URI: https://dl.acm.org/doi/abs/10.1007/s10440-022-00512-y
http://dspace.bits-pilani.ac.in:8080/jspui/handle/123456789/17634
Appears in Collections:Department of Mathematics

Files in This Item:
There are no files associated with this item.


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.