Dynamics of competition model between two plants based on stoichiometry

Area of Science:

• Ecology
• Mathematical Biology
• Plant Science

Background:

• Two-plant competitive models are common, but chemical heterogeneity's impact is understudied.
• Limited carbon and phosphorus significantly affect plant competition dynamics.

Purpose of the Study:

• To develop a model incorporating light and total phosphorus to analyze two-plant competition.
• To investigate how these factors influence the stability and coexistence of competing plant species.

Main Methods:

• Formulation of a mathematical model for two-plant competition.
• Analysis of model properties including dissipativity, equilibria, and stability.
• Numerical simulations to explore parameter effects.

Main Results:

• Equal light competition: coexistence is possible with moderate light intensity (K) and total phosphorus (T).
• Higher K favors plants with lower phosphorus loss rates.
• Moderate T leads to dominance by plants with lower phosphorus loss; high T allows coexistence.
• Unequal light competition and low T can cause instability and bistability.

Conclusions:

• Chemical heterogeneity (phosphorus) and light intensity are critical factors in plant competition outcomes.
• The model provides insights into the complex dynamics governing plant coexistence and dominance under resource limitation.
• Phosphorus availability and loss rates significantly mediate competitive interactions and ecosystem stability.