Constrcution And Analysis Of Two Dynamic Models

This paper establishes and studies two kinetic models,one of which is to study and analyze predator populations,and the other is to discuss and study the level of biomolecules.Firstly,a special four-species stochastic predator-prey model with two delays is discussed,and the solution and asymptotic behavior of the model are studied.Taking the model's positive equilibrium point as the starting point,and the stochastic differential equation of the model is analyzed.It is proved that the random predator-prey model always has a unique global positive solution to the initial condition of the alignment.Subsequently,by constructing an appropriate Lyapunov function and combining the application of Ito's formula,the stochastic model is discussed in terms of the asymptotic behavior of the solution near the equilibrium point.Finally,numerical simulations of ordinary differential equations are used to verify the main conclusions of the theorem in this paper.Secondly,due to the increasing concern of hypertension,people have conducted a lot of research on the development pathology of hypertension and its derivatives(preeclampsia).Among them,in the research process of hypertension,the influence of autoimmune mechanism on the development of hypertension has attracted widespread attention.In this paper,the molecular mechanism of non-desensitization of adrenergic receptor(AT1R)induced by autoantibodies(AT1-AA)is analyzed and studied,which by constructing a block diagram of intermolecular reactions and establishing a high-dimensional kinetic model.And according to existing studies,we know that endocytosis disorder model and conformation changes are possible molecular mechanisms that cause AT1R non-desensitization.Subsequently,by comparing the fitting rate,analyzing the simulated image and the predicted image,and comparing the size of the BIC value obtained by the Bayesian information standard(BIC),it was known that the conformational change model is the optimal model.It can be concluded that conformational change is the main molecular mechanism that cause AT1R non-desensitization.