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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 |
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