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A Study on Effects of Species with the Adaptive Sex-Ratio on Bio-Community Based on Mechanism Analysis and ODE

Author

Listed:
  • Haoyu Wang

    (Reading Academy, Nanjing University of Information Science and Technology, Nanjing 210044, China)

  • Xiaoyuan Wan

    (Reading Academy, Nanjing University of Information Science and Technology, Nanjing 210044, China)

  • Junyao Hou

    (Waterford Institute, Nanjing University of Information Science and Technology, Nanjing 210044, China)

  • Jing Lian

    (Reading Academy, Nanjing University of Information Science and Technology, Nanjing 210044, China)

  • Yuzhao Wang

    (School of Mathematics, University of Reading, Berkshire RG6 6AH, UK)

Abstract

The species of the adaptive male–female sex ratio has different effects on the bio-community. This paper is aimed at figuring out these effects through mechanism analysis and Ordinary Differential Equation (ODE). Hence, the ODE environmental model is created by combining the Lotka–Volterra model, the interspecific model, and other external factors. The stability is used to characterize these effects. According to this model, effects on bio-community stability under different male–female sex ratios are roughly observed. By innovatively considering different living environments during the species’ lifecycle, the ODE environmental model is optimized, and the effects of different male–female sex ratios on the bio-community are further analyzed by phase-track maps and relative standard deviation. It is found that there are different findings and features in resource-rich and resource-scarce living environments during the lifecycle. Meanwhile, bio-communities in these two types of environments are in a stable state based on different male–female sex ratios. Based on these findings, directive opinions can be used to manage and help relevant bio-communities.

Suggested Citation

  • Haoyu Wang & Xiaoyuan Wan & Junyao Hou & Jing Lian & Yuzhao Wang, 2024. "A Study on Effects of Species with the Adaptive Sex-Ratio on Bio-Community Based on Mechanism Analysis and ODE," Mathematics, MDPI, vol. 12(14), pages 1-22, July.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:14:p:2298-:d:1440508
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    References listed on IDEAS

    as
    1. Seralan Vinoth & R. Vadivel & Nien-Tsu Hu & Chin-Sheng Chen & Nallappan Gunasekaran, 2023. "Bifurcation Analysis in a Harvested Modified Leslie–Gower Model Incorporated with the Fear Factor and Prey Refuge," Mathematics, MDPI, vol. 11(14), pages 1-25, July.
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