Abstract

This presentation centers on the examination of models employed to depict both biological competition and cooperation. We will commence our discussion by delving into the Lotka-Volterra Equation and its classical generalization, highlighting the core concepts and appraising their merits and demerits. Subsequently, we will propose the Quasi-dynamic Ordinary Differential Equation Model and the measure of interspecific interaction incorporating the basic principles of evolutionary game theory in nature. In the final segment, we will utilize real-world data as a case in point. Leveraging the aforementioned model, we will construct an intricate, information-rich, and dynamic network, aptly termed the Informationally Dense Omni-directional and Personalized Network (IDOP Network). This practical application will serve as a litmus test for the viability and accuracy of the model. By exploring these models and their practical implications, we hope to gain a deeper understanding of how competition and cooperation shape the biological world, ultimately shedding light on the intricate mechanisms that govern life.