Geodesic
Analysis of a mathematical model for interactions between $T$ cells and macrophages
Electronic Journal of Differential Equations, Tome 2010 (2010).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: The aim of this article is to carry out a mathematical analysis of a system of ordinary differential equations introduced by Lev Bar-Or to model the interactions between T cells and macrophages. Under certain restrictions on the parameters of the model, theorems are proved about the number of stationary solutions and their stability. In some cases the existence of periodic solutions or heteroclinic cycles is ruled out. Evidence is presented that the same biological phenomena could be equally well described by a simpler model.
Classification : 37N25, 92C37
Keywords: dynamical systems, qualitative behaviour, immunology 
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     author = {Rendall, Alan D.},
     title = {Analysis of a mathematical model for interactions between $T$ cells and macrophages},
     journal = {Electronic Journal of Differential Equations},
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     volume = {2010},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a142/}
}
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Rendall, Alan D. Analysis of a mathematical model for interactions between $T$ cells and macrophages. Electronic Journal of Differential Equations, Tome 2010 (2010). http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a142/