Abstract
In this paper, we deal with a Markov chain introduced in our previous work, concerning a model for cooperative interactions in biological systems. Our aim is to obtain a mathematical explanation of some types of qualitative behaviour in cooperative systems. To this end, we point out further mathematical properties of the Markov chain and we find a diffusion continuous approximation of the chain, studying also some properties of the spectrum of both the discrete and the continuous associated operators.
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Abundo, M., Caramellino, L. Some remarks on a Markov chain modelling cooperative biological systems. Open Syst Inf Dyn 3, 325–343 (1995). https://doi.org/10.1007/BF02228996
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DOI: https://doi.org/10.1007/BF02228996