A new modified logistic growth model for empirical use


  • Windarto Windarto Department of Mathematics, Faculty of Science and Technology, Universitas Airlangga, Surabaya
  • Eridani Eridani Department of Mathematics, Faculty of Science and Technology, Universitas Airlangga, Surabaya
  • Utami Dyah Purwati Department of Mathematics, Faculty of Science and Technology, Universitas Airlangga, Surabaya




mathematical model, growth function, modified logistic growth.


Richards model, Gompertz model, and logistic model are widely used to describe growth model of a population. The Richards growth model is a modification of the logistic growth model. In this paper, we present a new modified logistic growth model. The proposed model was derived from a modification of the classical logistic differential equation. From the solution of the differential equation, we present a new mathematical growth model so called a WEP-modified logistic growth model for describing growth function of a living organism. We also extend the proposed model into couple WEP-modified logistic growth model. We further simulated and verified the proposed model by using chicken weight data cited from the literature. It was found that the proposed model gave more accurate predicted results compared to Richard, Gompertz, and logistic model. Therefore the proposed model could be used as an alternative model to describe individual growth.


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How to Cite

Windarto, W., Eridani, E., & Purwati, U. D. (2018). A new modified logistic growth model for empirical use. Communication in Biomathematical Sciences, 1(2), 122-131. https://doi.org/10.5614/cbms.2018.1.2.5