Esteva L, Vargas C
Departamento de Matemáticas, Facultad de Ciencias, Univ. Nacional Autonoma de Mexico, Mexico, DF, Mexico.
Math Biosci. 1998 Jun 15;150(2):131-51. doi: 10.1016/s0025-5564(98)10003-2.
A model for the transmission of dengue fever in a constant human population and variable vector population is discussed. A complete global analysis is given, which uses the results of the theory of competitive systems and stability of periodic orbits, to establish the global stability of the endemic equilibrium. The control measures of the vector population are discussed in terms of the threshold condition, which governs the existence and stability of the endemic equilibrium.
本文讨论了在固定人类种群和可变病媒种群中登革热传播的模型。给出了完整的全局分析，该分析利用竞争系统理论和周期轨道稳定性的结果，建立了地方病平衡点的全局稳定性。根据控制地方病平衡点存在和稳定性的阈值条件，讨论了病媒种群的控制措施。
