一类带跳的随机HTLV-Ⅰ感染模型的动力学分析

Dynamics of stochastic HTLV-Ⅰ model with jumps

建立和分析了一类带跳的随机HTLV-Ⅰ的感染模型.首先,运用Lyapunov函数方法证明了随机模型正解的全局存在性;其次,不仅获得了该模型的解是随机最终有界的而且讨论了该模型的解在无感染平衡点和感染平衡点附近的渐近行为;最后,通过数值模拟验证了所得结论.

In this paper,a class of stochastic HTLV-Ⅰmodel with jumps is established and analyzed.Under some given conditions,the existence of the global positive solution of this model is proved by applying the Lyapunov technique.We then obtain the solution is stochastically ultimately bounded.Moreover,we study the asymptotic behavior around the infection-free equilibrium and the infection equilibrium.Finally,numerical simulations are given to illustrate the obtained results.