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

Haoyu Wang, Xiaoyuan Wan, Junyao Hou, Jing Lian and Yuzhao Wang ()
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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

Mathematics, 2024, vol. 12, issue 14, 1-22

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.

Keywords: mechanism analysis; Lotka–Volterra model; interspecific model; lifecycle; the optimal ODE environmental model; phase-track map; relative standard deviation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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