【摘要】 对复杂网络上的性传播疾病模型进行了研究,利用李雅普诺夫函数,证明了基本再生数R₀决定系统的全局动力学性质.当R₀<1时,疾病灭绝;当R₀>1时,疾病持久存在,并且正平衡点是全局渐近稳定的.最后,通过数值模拟表明采取措施会减少性病的传播.更多还原

【Abstract】 In this paper, a sexually transmitted disease model on a complex network is studied, and the global dynamic properties of the system determined by basic regeneration number are proved by using lyapunov function.R₀<1, the disease died out;R₀>1, the disease persists, and the positive balance point is globally progressive and stable.Finally, numerical simulations show that measures can reduce the spread of sexually transmitted diseases.更多还原