一类具有时滞和饱和定律的双分子模型的动力学分析

Dynamic analysis of bimolecular model with time delay and saturation law

考虑具有时滞和饱和定律的双分子模型,通过分析模型相应的线性化方程的特征值,研究时滞对模型的正平衡点的稳定性的影响和Hopf分支的存在性,最后通过数值模拟验证理论结果的正确性.

Considering the two-molecule model with time delay and saturation law,the influence of time delay on the stability of the positive equilibrium and the existence of Hopf branch of the model are studied by analyzing the eigenvalues of the corresponding linearized equation of the model.Finally,the correctness of the theoretical results is verified by numerical simulation.