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Dynamics of cooperation evolution in fluctuating populations with environmental feedback
Yewei Tao1, Kaipeng Hu1, Lei Shi1
1Shanghai Lixin University of Accounting and Finance, Yunnan University of Finance and Economics, School of Statistics and Mathematics, Kunming 650221, China and Research Institute of Data Science, Shanghai 201209, China.
Physical Review. E
|October 21, 2025
Summary
Cooperation evolves in dynamic populations when initial sizes are within carrying capacity. Environmental feedbacks and synergy dictate population and cooperation dynamics, ensuring sustainable resource regeneration.
Area of Science:
- Evolutionary Biology
- Ecology
- Game Theory
Background:
- Cooperation is crucial for resource regeneration and ecological stability.
- Environmental conditions significantly influence the evolution of cooperation.
- Understanding the interplay between environmental dynamics and cooperative behavior is essential.
Purpose of the Study:
- To explore the dynamic relationship between environmental fluctuations and individual behaviors in biological systems.
- To examine the interactions between resources and cooperative evolution using an evolutionary game model.
- To identify conditions supporting the sustainable evolution of cooperation in dynamic populations.
Main Methods:
- Designed an evolutionary game model in dynamic populations.
- Analyzed the interactions between resources and cooperative evolution.
- Utilized theoretical predictions and numerical simulations to validate findings.
Main Results:
- Sustainable population evolution requires initial size within environmental carrying capacity to prevent collapse.
- Environmental feedback strength and synergistic factors jointly control population and cooperation expansion or contraction.
- Cooperative behavior can be sustained in systems with limited resources under specific conditions.
Conclusions:
- The study provides theoretical support for cooperation evolution in dynamic systems.
- Findings elucidate conditions for sustaining cooperation amidst environmental fluctuations and resource limitations.
- The research contributes to constructing more adaptive evolutionary models.
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