Authors
Roumen Anguelov, Milen Borisov, Anton Iliev, Nikolay Kyurkchiev, Svetoslav Markov
Publication date
2018/12
Journal
Mathematical Methods in the Applied Sciences
Volume
41
Issue
18
Pages
8365-8376
Description
Growth models are often used when modelling various processes in life sciences, ecology, demography, social sciences, etc. Dynamical growth models are usually formulated in terms of an ODE (system of ODS's) or by an explicit solution to an ODE, such as the logistic, Gompertz, and Richardson growth models. To choose a suitable growth model it is useful to know the physics‐chemical meaning of the model. In many situations this meaning is best expressed by means of a reaction network that possibly induces the dynamical growth model via mass action kinetics. Such reaction networks are well known for a number of growth models, such as the saturation‐decay and the logistic Verhulst models. However, no such reaction networks exist for the Gompertz growth model. In this work we propose some reaction networks using mass action kinetics that induce growth models that are (in certain sense) close to the …
Total citations
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Scholar articles
R Anguelov, M Borisov, A Iliev, N Kyurkchiev, S Markov - Mathematical Methods in the Applied Sciences, 2018