一类具有脉冲影响的时滞生态-流行病系统的分析

摘要

考虑了一类具有脉冲时滞的生态-流行病模型。基于 Floquet乘子理论和脉冲微分方程的比较定理，给出了周期脉冲条件下，边界周期解的全局渐近稳定与系统持续生存的条件。最后，通过数值模拟对所得结论进行了说明。%An eco-epidemiological system with time delay and impulsive effect is investigated.By using Floquet theorem and the comparison theorems of impulsive differential equation, the conditions for global asymptotic stability of endemic equilibrium and permanence of the system are obtained.Numerical simulations are carried out to illustrate the theoretical results.