Study of a general growth model

Abstract

We discuss a general growth curve including several parameters, whose choice leads to a variety of models including the classical cases of Malthusian, Richards, Gompertz, Logistic and some their generalizations. The advantage is to obtain a single mathematically tractable equation from which the main characteristics of the considered curves can be deduced. We focus on the effects of the involved parameters through both analytical results and computational evaluations.

arXiv comment25 pages, 32 figures

References in corpus (3)

• Applications of the multi-sigmoidal deterministic and stochastic logistic models for plant dynamics
• A Note on Estimation of Multi-Sigmoidal Gompertz Functions with Random Noise
• Inference on an heteroscedastic Gompertz tumor growth model

Cited by in corpus (4)

• First Passage and First Exit Times for diffusion processes related to a general growth curve
• A Bertalanffy-Richards growth model perturbed by a time-dependent pattern, statistical analysis and applications
• Fractality in tumor growth at the avascular stage from a generalization of the logistic-Gompertz dynamics
• Tractable fish growth models considering individual differences with an application to the fish Plecoglossus altivelis altivelis