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Endotactic and strongly endotactic networks with infinitely many positive steady states

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Abstract

The dynamics exhibited by reaction networks is often a manifestation of their steady states. We show that there exists endotactic and strongly endotactic dynamical systems that are not weakly reversible and possess a family of infinitely many positive steady states. In addition, we prove for some of these systems that there exist no weakly reversible mass-action systems that are dynamically equivalent to mass-action systems generated by these networks. This extends a result by Boros, Craciun and Yu [1], who proved the existence of weakly reversible dynamical systems with infinitely many steady states.

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Funding

AD would like to acknowledge support from SERB Start-up Research Grant SRG/2022/001404.

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  1. Center for Computational Natural Sciences and Bioinformatics, International Institute of Information Technology Hyderabad, Hyderabad, India

    Samay Kothari & Abhishek Deshpande

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  1. Samay Kothari
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  2. Abhishek Deshpande
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Correspondence to Abhishek Deshpande.

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Kothari, S., Deshpande, A. Endotactic and strongly endotactic networks with infinitely many positive steady states. J Math Chem (2024). https://doi.org/10.1007/s10910-024-01617-5

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