A new modified logistic growth model for empirical use

Q2 Mathematics
Windarto Windarto, Eridani Eridani, U. D. Purwati
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引用次数: 6

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.
一种新的修正的logistic增长模型
Richards模型、Gompertz模型和logistic模型被广泛用于描述人口增长模型。理查兹增长模型是对逻辑增长模型的一种修正。在本文中,我们提出了一个新的修正的物流增长模型。所提出的模型是从经典的逻辑微分方程的一个修正导出的。从微分方程的解出发,我们提出了一个新的数学生长模型,称为WEP修正的逻辑生长模型,用于描述生物体的生长函数。我们还将所提出的模型扩展为WEP修正的逻辑增长模型。我们利用文献中引用的鸡体重数据进一步模拟和验证了所提出的模型。研究发现,与Richard、Gompertz和logistic模型相比,所提出的模型给出了更准确的预测结果。因此,所提出的模型可以作为描述个体成长的替代模型。
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来源期刊
Communication in Biomathematical Sciences
Communication in Biomathematical Sciences Biochemistry, Genetics and Molecular Biology-Biochemistry, Genetics and Molecular Biology (miscellaneous)
CiteScore
3.60
自引率
0.00%
发文量
7
审稿时长
24 weeks
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