The Stability Analysis And Simulation Of The Model-mimic Pollination System

Mimicry is an interesting adaptive phenomenon in the biological world.Mimicry in the pollination system is one of the most typical examples.For the study of pollination mimicry system,many scholars at home and abroad have their own unique insights,but also made a lot of considerable results,but there are many problems to be solved.For example,few scholars have quantitatively analyzed the intrinsic relationship between the various components of the pollination mimicry system by establishing a dynamic model of the Model-Mimic pollination system.In this paper,we elaborated a dynamic model of Model-Mimic pollination system.Based on the domestic and foreign research results,aiming at the self-learning ability of pollinating insects,adding a neutral reference plant in the mimic system and using the kinetic stability theory,the stability of the system and the influence of the key factors on the stability of the system was analyzed by referring to the stability analysis method of high dimensional dynamic equation in recent years.The main work of this paper was as follows:(1)To study the stability of the common dynamic equation and grasp the theoretical basis of the stability analysis.This paper studied the recent conclusions about the ecological equation of high dimension in foreign countries,and analyzed and summarizes some relevant methods by referring to relevant papers and books.(2)Based on the theory of stability of ordinary differential equations and the results of dynamical systems in recent years,the stability of pollination mimicry dynamical system and the influence of key factors on the stability of the system were analyzed.The Model-Mimic pollination system proposed in this paper is based on a large number of laboratory observations and large simulation platform simulation data,and the dimension is high and nonlinear.By analyzing the local stability,the global stability of the system was analyzed and deduced,and the influence of some parameters on the local stability was analyzed to estimate its effect on global stability.(3)Through R software simulation,the dynamic equation of the system was analyzed and simulated,the stability of the system was simulated and the influence of the key factors on the stability of the system was analyzed,and the corresponding simulation results were discussed.From the results of the simulation,the results are consistent with the partial conclusions of the theoretical analysis,and consistent with the results of the previous laboratory observation data.The simulation results showed that not only the key factors are critical to the stability,but also the subjective mental state of the insects also have great influence on the stability of the system.