扩散和时滞影响下病毒感染模型的Turing不稳定性和Hopf分岔

Turing instability and Hopf bifurcation of virus infection model under the influence of diffusion and delay

考虑反应扩散和时滞因素,研究了病毒感染模型的Turing不稳定性和Hopf分岔.首先,给出无时滞情形下的Turing不稳定条件;其次,选择时滞为分岔参数,得到Hopf分岔的判据,同时给出分岔阈值的解析表达;最后,通过数值模拟仿真验证了理论结果的正确性.

Considering the factors of reaction diffusion and time delay,Turing instability and Hopf bifurcation of virus infection model are studied.Firstly,for the case without time delay,the Turing instability condition is obtained for the diffusion virus infection model.Secondly,the time delay is chosen as the bifurcation parameter and the criterion of Hopf bifurcation is given,and the analytical expression of the bifurcation threshold is obtained.Finally,the correctness of the theoretical results is verified by numerical simulation.