Reaction networks reveal new links between Gompertz and Verhulst growth functions
DOI:
https://doi.org/10.11145/j.biomath.2019.04.167Abstract
New reaction network realizations of the Gompertz and logisticВ growth models are proposed. The proposed reaction networks involve an additional species interpreted as environmental resource. SomeВ natural generalizations and modifications of the Gompertz and the logistic models,В induced by the proposed networks, are formulated and discussed.В In particular, it is shown that the induced dynamical systems can be reduced toВ one dimensional differential equations for the growth (resp. decay) species.В The reaction network formulation of the proposed models suggest hints forВ the intrinsic mechanism of the modeled growth process and can be used forВ analyzing evolutionary measured data when testing various appropriate models,В especially when studying growth processes in life sciences.
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