A new modified logistic growth model for empirical use

Abstract

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.

Mathematical Model to Study Early COVID-19 Transmission Dynamics in Sri Lanka

“…In the model development process, we assumed that all the clinically tested positive cases for COVID-19 are homogeneous with no impact of age, sex and history of chronic diseases on the disease progression. Conventional compartmental transmission models assume exponential growth for the number of infectious cases during the early stage of a well-mixed epidemic [13,14]. Therefore, the growth pattern of infectious disease outbreaks has been studied using exponential and/or extended versions of exponential models in the absence of control strategies [13][14][15][16].…”

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“…Perubahan bilangan organisma akan digambarkan oleh model sebagai persamaan kadar pertumbuhan (µ), biojisim awal (X 0 ) dan kepekatan biojisim maksimum (X max ) semasa pengkulturan (Phukoetphim et al, 2017). Model logistik terubah suai diperoleh dari perbezaan persamaan logistik klasik (Windarto et al, 2018). Manakala, model Gompertz terubah suai pula adalah model yang digunakan secara meluas dalam menganalisis graf pertumbuhan mikrob berbentuk sigmoid.…”