Modelling The Dynamics Of Competition Between Plants Based On Stoichiometry

The population competition model plays an important role in the development of differential equations and is widely used in the field of biology.The dynamic behavior and population coexistence mechanism of the two-dimensional Lotka Volterra competition model have been extensively explored.However,the impact of chemical heterogeneity on competitive populations has been rarely studied.Based on the traditional Lotka-Volterra competition model and combining the chemical heterogeneity of plants,this thesis establishes a stoichiometric competition model for two plants,and study the effects of light and nutrition on the competition relationship between the two plants.In this study,we first establish a competition model for two plants with stoichiometry,and perform theoretical analysis for the existence and stability of internal equilibrium and boundary equilibria.Secondly,we study the complex dynamic behavior of the model through numerical simulations.The analytical results showed that the magnitude of phosphorus loss rates of two plants would change the final competitive outcome.In addition,we also obtain the variation pattern of plant quality with light and nutrition.Finally,we give a numerical simulation of two plant competition model with interspecific competition coefficient,investigate the impact of interspecific competition coefficient on model dynamics and compare the results with the Lotka-Volterra competition model.Our findings further indicate that the model has more dynamic phenomena than the classical twodimensional Lotka-Volterra competition model in the state of poor nutrition.The results of this study will provide theoretical basis for biodiversity management.