Related Experiment Video
Updated: Jan 15, 2026
15:00
Daily Transfers, Archiving Populations, and Measuring Fitness in the Long-Term Evolution Experiment with Escherichia coli
Published on: August 18, 2023
4.2K
Evolution of competitive systems in nature.
Chubo Deng1,2, Xian Sun3,4,5, Rujie Guan6,7
1Aerospace Information Research Institute, Chinese Academy of Sciences, Beijing, 100190, China. dengcb@aircas.ac.cn.
Scientific Reports
|October 8, 2025
Summary
This study introduces a new field-theoretic framework to model competitive systems. It reveals that system evolution converges to traveling waves, oscillations, or stable equilibrium, depending on system parameters.
Area of Science:
- Theoretical Physics
- Mathematical Biology
- Complex Systems
Background:
- Competitive systems are common in nature.
- Existing models can be complex for interactions between similar objects.
Purpose of the Study:
- To develop a novel field-theoretic framework for modeling competitive systems.
- To simplify the modeling of interactions between similar objects.
- To analyze the evolutionary outcomes of competitive systems.
Main Methods:
- Developed a novel class of nonlinear partial differential equations with delta-source terms.
- Treated interacting objects as fields for simplified modeling.
- Employed mathematical models to solve for evolutionary outcomes.
Main Results:
- Demonstrated system evolution converges to three universal regimes: traveling waves, oscillations, or stable equilibrium.
- Identified phase transition criteria based on eigenvalues and supply parameters.
- Showcased the model's generality and applicability through theoretical derivations and numerical results.
Conclusions:
- The proposed framework offers a robust method for explaining antagonistic phenomena.
- The model provides a simplified yet powerful approach to understanding complex competitive dynamics.
- The findings have broad applicability across various scientific domains observing competitive interactions.
Related Concept Videos
02:34Competition
24.3K
When organisms require the same limited resources within an environment, they may have to compete for them. Competition is a net-negative interaction. Even if two competing individuals or populations do not interact directly, the overall fitness of both competitors is lowered as a result of not having full access to the limited resource.
24.3K
01:32What is Natural Selection?
125.8K
Natural selection is an evolutionary process in which individuals with survival-promoting traits reproduce at higher rates. These favorable traits become more common within a population or species. Naturally selected traits initially arise via random genetic mutations. In order for selection to occur, there must be variation within a population, the trait controlling the variation must be heritable, and there must be an evolutionary advantage for variation in the trait.
125.8K
01:38Limits to Natural Selection
34.0K
Organisms that are well-adapted to their environment are more likely to survive and reproduce. However, natural selection does not lead to perfectly adapted organisms. Several factors constrain natural selection.
34.0K
02:55The Evidence for Evolution
47.6K
Genetic variations accumulating within populations over generations give rise to biological evolution. Evolutionary changes can result in the formation of novel varieties and entire new species. These changes are responsible for the diverse forms of life inhabiting the planet. The evidence for evolution suggests that all living organisms descended from common ancestors.
47.6K
02:39Predator-Prey Interactions
21.0K
Predators consume prey for energy. Predators that acquire prey and prey that avoid predation both increase their chances of survival and reproduction (i.e., fitness). Routine predator-prey interactions elicit mutual adaptations that improve predator offenses, such as claws, teeth, and speed, as well as prey defenses, including crypsis, aposematism, and mimicry. Thus, predator-prey interactions resemble an evolutionary arms race.
21.0K
01:20Evolutionary Psychology
926
Evolutionary psychology explores the origins of human behavior and mental processes by framing them within the context of natural selection, a theory famously propounded by Charles Darwin. This field asserts that many behaviors common across human societies — ranging from instinctive fear reactions to complex social interactions — arose as evolutionary adaptations. These adaptations enhanced the survival and reproductive success of our ancestors, thereby becoming embedded in the...
926