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首页> 外文期刊>Applied Mathematical Modelling >Global dynamics of an age-structured cholera model with both human-to-human and environment-to-human transmissions and saturation incidence
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Global dynamics of an age-structured cholera model with both human-to-human and environment-to-human transmissions and saturation incidence

机译：具有人与人和环境与人之间的传播以及饱和发生率的年龄结构霍乱模型的全球动力学

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In this paper, an age-structured cholera model with both human-to-human and environment-to-human transmissions and saturation incidence is proposed. In the model, we consider the infection age of infectious individuals and the biological age of pathogen in the environment. It is verified that the global dynamics of the model is completely determined by the basic reproduction number. Asymptotic smoothness is verified as a necessary argument. By analyzing corresponding characteristic equations, we discuss the local stability of each of feasible steady states. Uniform persistence is shown by using the persistence theory for infinite dimensional dynamical system. The global stability of each of feasible steady states is established by using suitable Lyapunov functionals and LaSalle's invariance principle. Numerical simulations are carried out to illustrate the theoretical results. (C) 2018 Elsevier Inc. All rights reserved.
机译：本文提出了一种具有人与人和环境与人之间的传播以及饱和发生率的年龄结构霍乱模型。在模型中，我们考虑了感染者的感染年龄和环境中病原体的生物学年龄。验证了模型的全局动力学完全由基本再现数决定。渐近平滑性被证明是必要的论据。通过分析相应的特征方程，我们讨论了每个可行稳态的局部稳定性。通过针对无限维动力系统的持续性理论，证明了均匀持续性。通过使用合适的Lyapunov泛函和LaSalle不变性原理，建立了每个可行稳态的全局稳定性。进行了数值模拟以说明理论结果。 （C）2018 Elsevier Inc.保留所有权利。

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