A Human-Vector Susceptible-Infected-Susceptible Model for Analyzing and Controlling the Spread of Vector-Borne Diseases
Lorenzo Zino, Alessandro Casu, Alessandro Rizzo
我们提出了病媒传播疾病的流行病模型。 该模型是扩展经典易感染易感模型的,它解释了两个种群 - 人类和载体 - 以及两个物种之间的交叉传染,人类在与携带载体载体相互作用时被感染,并且载体在与受感染的人类相互作用后成为载体。 我们制定模型作为普通微分方程的系统,并利用单调系统理论来严格表征流行病动力学。 具体来说,我们表征了疾病的全球无症状行为,确定了快速根除疾病的条件(即所有轨迹都汇聚到无病平衡),或趋同到(独特的)地方性均衡。 然后,我们纳入了两个控制行动:即病媒控制和采取保护措施的激励措施。 使用派生的数学工具,我们评估这两个控制动作的影响,并确定最优的控制策略。
We propose an epidemic model for the spread of vector-borne diseases. The model, which is built extending the classical susceptible-infected-susceptible model, accounts for two populations – humans and vectors – and for cross-contagion between the two species, whereby humans become infected upon interaction with carrier vectors, and vectors become carriers after interaction with infected humans. We formulate the model as a system of ordinary differential equations and leverage monotone systems t...
