两斑块间具有种群动力学的疟疾传播模型研究

Study of a malaria model with population dynamic in two patches

建立了两个斑块间人口迁移、媒介不迁移的具有种群动力学的疟疾传播模型,得出该模型是强单调的不可约合作系统,并计算了基本再生数R0,证明了当R0≤1时,无病平衡点全局渐近稳定;当R0>1时,存在唯一正平衡点且全局渐近稳定。

A malaria model with population dynamic in two patches is established, which the hosts can migrate between patches, but not the vectors.The model is irreducible cooperative and strongly monotone.The basic reproduction num-ber R0 is computed.If R0≤1, then the disease-free equilibrium is globally asymptotically stable.When R0 ＆gt;1, there exists a unique endemic equilibrium, which is globally asymptotically stable.