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Global Dynamics of an Enzyme-Catalyzed Reaction System

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Abstract

In this paper, we investigate the global dynamics of an enzyme-catalyzed reaction system. In order to see the tendency of evolutions in a large range, we study not only its finite equilibria but also the equilibria at infinity. The case of degeneracy is dealt with by constructing normal sectors and generalized ones. Furthermore, we show the qualitative properties of the system in various cases and exhibit the global phase portraits for the system.

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Authors and Affiliations

  1. Department of Mathematics, Chengdu Normal University, Chengdu, 611130, China

    Juan Su

  2. Department of Mathematics, Sichuan University, Chengdu, 610064, China

    Juan Su

  3. School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, 611731, China

    Zhaoxia Wang

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  1. Juan Su
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  2. Zhaoxia Wang
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Correspondence to Zhaoxia Wang.

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Shangjiang Guo.

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Supported by NSFC Grants #11501083 and Foundation of Sichuan Education Committee (No. 18ZB0094).

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Su, J., Wang, Z. Global Dynamics of an Enzyme-Catalyzed Reaction System. Bull. Malays. Math. Sci. Soc. 43, 1919–1943 (2020). https://doi.org/10.1007/s40840-019-00780-2

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  • DOI: https://doi.org/10.1007/s40840-019-00780-2

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