论文标题
关于艾滋病毒传播的SICA模型
On SICA models for HIV transmission
论文作者
论文摘要
我们重新审视SICA（易感性 - 奇妙的AIDS）数学模型，用于人类免疫缺陷病毒（HIV）的传播动力学，在同质混合种群中，人口大小变化。我们考虑了由普通微分方程的系统给出的SICA模型，以及具有分数和随机差分运算符的系统给出的一些概括。对于确定性，分数和随机型SICA模型，局部和全球稳定性结果已被证明。研究了佛得角和摩洛哥角的两个案例研究。
We revisit the SICA (Susceptible-Infectious-Chronic-AIDS) mathematical model for transmission dynamics of the human immunodeficiency virus (HIV) with varying population size in a homogeneously mixing population. We consider SICA models given by systems of ordinary differential equations and some generalizations given by systems with fractional and stochastic differential operators. Local and global stability results are proved for deterministic, fractional, and stochastic-type SICA models. Two case studies, in Cape Verde and Morocco, are investigated.
