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On exploring \(\lambda \)-symmetries, Darboux polynomials and other integrable quantifiers of Easter Island Population Model

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Abstract

Modelling biological processes is more important to analyse the real biological process in detail. Solving the modelled mathematical equations associated with the considered process/system gives us a better understanding of how complex interactions and processes work in that particular system. In this work, we consider Basener–Ross population model and study its integrability quantifiers for some restricted system parameters. We begin our analysis from finding \(\lambda \)-symmetries. Then, we relate \(\lambda \)-symmetries with Darboux polynomials via integrating factors. Also, we extract Lie point symmetries, null forms, Jacobi last multipliers and telescopic vector fields of the Basener–Ross population model from the obtained Darboux polynomials and \(\lambda \)-symmetries. The obtained results will help the biologist to analyse the Basener–Ross population model in a deeper way.

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Acknowledgements

RMS is funded by the Centre for Computational Modelling, Chennai Institute of Technology, India, vide funding number CIT/CCM/2022/RP-005.

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Authors and Affiliations

  1. Centre for Computational Modelling, Chennai Institute of Technology, Chennai, 600 069, India

    Mohanasubha Ramasamy

  2. Department of Mathematics, M. Kumarasamy College of Engineering, Karur, 639 113, India

    Subhasri Devarajan

  3. Department of Nonlinear Dynamics, Bharathidasan University, Tiruchirappalli, 620 024, India

    Senthilvelan Murugaian

  4. Centre for Nonlinear Systems, Chennai Institute of Technology, Chennai, 600 069, India

    Karthikeyan Rajagopal

Authors
  1. Mohanasubha Ramasamy
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  2. Subhasri Devarajan
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  3. Senthilvelan Murugaian
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  4. Karthikeyan Rajagopal
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Correspondence to Mohanasubha Ramasamy.

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Ramasamy, M., Devarajan, S., Murugaian, S. et al. On exploring \(\lambda \)-symmetries, Darboux polynomials and other integrable quantifiers of Easter Island Population Model. Pramana - J Phys 97, 97 (2023). https://doi.org/10.1007/s12043-023-02576-3

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  • DOI: https://doi.org/10.1007/s12043-023-02576-3

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