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Qualitative analysis of a mathematical model for tissue inflammation dynamics

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Abstract

The non-linear differential eguation

$$\dot X = \frac{{rX}}{{I + X}} - \frac{{XY}}{{X + Y}},\dot Y = \alpha (I + \theta X - Y)$$

is studied. It is the main aim of this paper to show the existence of bifurcation of saddle connection type; and to show the creation of limit cycles under certain conditions of the parameters, together with their biological significance.

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Authors and Affiliations

  1. Institute of Mathematics, Academia Sinica, China

    Jing Zhujun

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  1. Jing Zhujun
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Zhujun, J. Qualitative analysis of a mathematical model for tissue inflammation dynamics. Acta Mathematica Sinica 3, 327–339 (1987). https://doi.org/10.1007/BF02559913

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  • DOI: https://doi.org/10.1007/BF02559913

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