扩散对模拟霍乱动态的反应扩散系统中平衡稳定性的影响。
Influence of diffusion on the stability of equilibria in a reaction-diffusion system modeling cholera dynamic.
作者信息
Capone Florinda, De Cataldis Valentina, De Luca Roberta
机构信息
Department of Mathematics and Applications 'R. Caccioppoli', University of Naples Federico II, Complesso Universitario Monte S. Angelo, Via Cinzia, 80126 , Naples, Italy.
出版信息
J Math Biol. 2015 Nov;71(5):1107-31. doi: 10.1007/s00285-014-0849-9. Epub 2014 Nov 26.
A reaction-diffusion system modeling cholera epidemic in a non-homogeneously mixed population is introduced. The interaction between population and toxigenic Vibrio cholerae concentration in contaminated water has been taken into account. The existence of biologically meaningful equilibria is investigated together with their linear and nonlinear stability. Using the data collected during the Haiti cholera epidemic, a numerical simulation is performed.
引入了一个反应扩散系统，用于模拟非均匀混合人群中的霍乱疫情。该系统考虑了人群与受污染水中产毒霍乱弧菌浓度之间的相互作用。研究了具有生物学意义的平衡点的存在性及其线性和非线性稳定性。利用海地霍乱疫情期间收集的数据进行了数值模拟。
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