Modeling And Analysis Of Coupling Networks Of Biological Interactions

The population growth and the intensification of human activities have led to the gradual degradation of species habitats,the dynamic evolution of populations and the sustainable development of ecosystems have become research hotspots.This paper takes into account the heterogeneity of the populations,in order to better describe the interactions between the populations and study the complex connections between the populations.This paper based on the complex network theory,the qualitative theory of differential equations,and the infectious disease model on the complex network,the population model is compared with Combining the coupled complex network,using the structural characteristics of the ecosystem and the good compatibility of the coupling network,a population dynamics model with network characteristics is established,and dynamic analysis and simulation of the model are carried out.First of all,it is based on the heterogeneity between individual organisms in the ecosystem and the relationship between competition,predation and reciprocity among various groups.Subnets are used to represent the populations in each trophic level,and the edges between the subnets represent the predation relationship between populations and reflect the energy flow between species.Each individual acts as a node of the subnet,and the edges between nodes represent the competition and reciprocal relationship between individuals in the population,constructing a coupled network model with biological significance.Secondly,according to the idea of the infectious disease model,the basic intake rate is introduced between the subnets to represent the nutrient intake per unit time by the high-trophic predator,the connection of the nodes between the subnets indicates that the individual has a predator relationship and reflects that the individual has a predator relationship of the difference in predation ability.At the same time,the population dynamics method is used to establish the edge connection mechanism of the nodes on the same subnet.Finally,for the situations of one predator and one prey,and one predator and two prey,a mathematical model based on the interaction between the populations of the coupling network was established,and the basic intake rate and the positive equilibrium point of the model were systematically studied.The expression proves that when the basic intake rate is greater than 1,the positive equilibrium point of the predator system is locally stable and globally asymptotically stable,that is,when the predator’s predation is greater than the energy consumed by its own growth,the predator population can develop steadily for a long time.