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Nonlinear Analysis Of A Class Of Functional Cell Immune Model Solution

Posted on:2015-05-10Degree:MasterType:Thesis
Country:ChinaCandidate:J ZhongFull Text:PDF
GTID:2180330479483888Subject:Basic mathematics
Abstract/Summary:PDF Full Text Request
This paper mainly uses to prove the existence of periodic solution for cellular immune reaction model Mawin continuity theorem; Based on the first order charac-teristic line integral method and the approximate equation method to judge the stability of the equilibrium solution of the immune response model with age structure of the virus; The existence of traveling wave solutions using upper and lower solutions dis-criminant immune reaction diffusion equations, discriminant regular waves with series convergenceThe paper consists of four chapters:In Chapter 1,introduces the development of cell immune model. The research work in this paper, the background, the preliminary knowledge;In Chapter 2,investigate the stability of equilibrium points of Cellular immune response to virus infection with the age structureIn Chapter 3,investigate the existence of periodic solutions of cycle immune model ,include continuous and dispersed situation;In Chapter 4,investigate the existence and regularity of stability of the traveling wave solution of the cell immune infected response model...
Keywords/Search Tags:cell immune model, age-structure, periodic solutions, traveling wave solution, stability
PDF Full Text Request
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