【摘要】 建立具有饱和发生率和两时滞的基孔肯雅病毒模型,两个时滞分别为病毒及B细胞的产生所需的时间延迟。讨论平衡点的存在性与唯一性,以及无病平衡点E₀和感染平衡点E₁的存在条件,通过特征方程分析两个平衡点的局部渐近性。研究两个时滞分别在不同情形下对感染平衡点E₁稳定性的影响,分析系统在E₁处Hopf分支的存在性,并对结论进行了数值模拟。更多还原

【Abstract】 In this paper, a chikungunya virus infection model was established with saturated infection rates and two time delays, which was for the virus and B cells to produce the required time delay. It started for discussing the existence and uniqueness of equilibrium and the existence conditions of the disease-free equilibrium E₀ and the endemic equilibrium E₁. Through the analysis of the characteristic equation, the locally asymptotical stability of two equilibriums was considered. Furthermore, the effect on the stability of the infection equilibrium E₁ by two delays in different conditions was studied, respectively. And the existence of Hopf bifurcations in the system was analyzed. The conclusion of this article was carried on the numerical simulation.更多还原