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Phenomenological approach to describe logistic growth and carrying capacity-dependent growth processes

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Abstract

In this communication, different classes of phenomenological universalities of carrying capacity-dependent growth processes have been proposed. The logistic as well as carrying capacity-dependent West-type allometry-based biological growths can be explained in this proposed framework. It is shown that logistic and carrying capacity-dependent West-type growths are phenomenologically identical in nature. However, there is a difference between them in terms of coefficients involved in the phenomenological descriptions. Involuted Gompertz function, used to describe biological growth processes undergoing atrophy or a demographic and economic system undergoing involution or regression, can be addressed in this proposed environment-dependent description. It is also found phenomenologically that the energy intake of an organism depends on carrying capacity whereas metabolic cost does not depend on carrying capacity. In addition, some other phenomenological descriptions have been examined in this proposed framework and graphical representations of variation of different parameters involved in the description are executed.

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Acknowledgements

We are grateful to the reviewers for their critical comments and suggestions which have immensely improved the content and presentation of the paper.

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Authors and Affiliations

  1. Department of Basic Science, Humanities and Social Science (Physics), Calcutta Institute of Engineering and Management, 24/1A, Chandi Ghosh Road, Kolkata, 700 040, India

    DIBYENDU BISWAS

  2. Department of Applied Mathematics, University of Calcutta, 92 APC Road, Kolkata, 700 009, India

    SWARUP PORIA

  3. Department of Instrumentation Science, Jadavpur University, 188, Raja S.C. Mallick Road, Kolkata, 700 032, India

    SANKAR NARAYAN PATRA

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  1. DIBYENDU BISWAS
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  2. SWARUP PORIA
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  3. SANKAR NARAYAN PATRA
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Correspondence to SWARUP PORIA.

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BISWAS, D., PORIA, S. & PATRA, S.N. Phenomenological approach to describe logistic growth and carrying capacity-dependent growth processes. Pramana - J Phys 87, 80 (2016). https://doi.org/10.1007/s12043-016-1283-x

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