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Analysis on bifurcation solutions of an atherosclerosis model. (English) Zbl 1379.35338
Summary: This paper is concerned with the inflammatory process model resulting in the development of atherosclerosis subject to no-flux boundary conditions. The dissipation and persistence of the system are obtained. The steady-state bifurcations are also studied in two cases. The bifurcation from the simple eigenvalue can be extended to infinity by increasing \(d_2\) to infinity, and the bifurcation from the double eigenvalue is intensively investigated. The techniques include the spectrum analysis of operators, the bifurcation theory, space decompositions and the implicit function theorem.

MSC:
35Q92 PDEs in connection with biology, chemistry and other natural sciences
35B32 Bifurcations in context of PDEs
92C50 Medical applications (general)
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