标题： 农村与森林之间移动性对寨卡病毒传播的影响 显示英文标题

标题： The Impact of Mobility between Rural Areas and Forests on the Spread of Zika

摘要： 一种将人类在农村地区和附近森林之间移动纳入考虑的寨卡病毒传播数学模型被提出，以研究人类移动在寨卡病毒在人类和蚊子种群中传播中的作用。 假设生活在农村地区的易感和感染人类的比例会移动到附近的森林地区。 所有种群都包含了直接、间接和垂直传播途径。 已经提出了所提出模型的数学分析。 分析从归一化所提出的模型开始。 然后讨论了归一化模型解的正性和有界性。 使用下一代矩阵方法计算了基本再生数，并展示了其与三种疾病传播途径的关系。 已经研究了基本再生数对所有模型参数的敏感性分析。 分析还包括无病平衡点和地方病平衡点的存在性和稳定性。 也进行了分岔分析。 最后，获得了归一化模型的数值解，以确认理论结果并展示人类移动在人类和蚊子种群中疾病传播中的影响。 显示英文摘要

摘要： A mathematical model of Zika virus transmission incorporating human movement between rural areas and nearby forests is presented to investigate the role of human movement in the spread of Zika virus infections in human and mosquito populations. Proportions of both susceptible and infected humans living in rural areas are assumed to move to nearby forest areas. Direct, indirect and vertical transmission routes are incorporated for all populations. Mathematical analysis of the proposed model has been presented. The analysis starts with normalizing the proposed model. Positivity and boundedness of solutions to the normalized model have been then addressed. The basic reproduction number has been calculated using the next generation matrix method and its relation to the three routes of disease transmission has been presented. The sensitivity analysis of the basic reproduction number to all model parameters has been investigated. The analysis also includes existence and stability of disease free and endemic equilibrium points. Bifurcation analysis has been also carried out. Finally, numerical solutions to the normalized model have been obtained to confirm the theoretical results and to demonstrate the impact of human movement in the disease transmission in human and mosquito populations.