淮阴师范学院学报(自然科学版)2024,Vol.23Issue(4) :288-296.

具有疫苗接种和年龄结构的疟疾传播模型的动力学行为

Dynamic Behavior of Malaria Transmission Models with Vaccination and Age-structure

张真真 李盈科 赵睿轩
淮阴师范学院学报(自然科学版)2024,Vol.23Issue(4) :288-296.

具有疫苗接种和年龄结构的疟疾传播模型的动力学行为

Dynamic Behavior of Malaria Transmission Models with Vaccination and Age-structure

张真真 1李盈科 1赵睿轩1
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作者信息

  • 1. 新疆农业大学数理学院,新疆乌鲁木齐 830052
  • 折叠

摘要

研究了一类具有疫苗接种和年龄结构的疟疾传播模型的动力学行为.首先证明了解的非负性和有界性;其次得到了基本再生数,无病平衡点稳定的条件,正平衡点以及后向分支的存在条件;最后,通过数值模拟验证所得结论.

Abstract

The dynamic behavior of a class of malaria transmission models with vaccination and age structure was studied.Firstly,the non-negative and boundedness of understanding are proved;Second-ly,the basic regeneration number,the stable condition of disease-free equilibrium point,the existence condition of positive equilibrium point and backward branch are obtained;Finally,the results are veri-fied by numerical simulation.

关键词

年龄结构/疫苗接种/平衡点/后向分支

Key words

age-structure/vaccination/equilibria/backward bifurcation

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出版年

2024
淮阴师范学院学报(自然科学版)
淮阴师范学院

淮阴师范学院学报(自然科学版)

影响因子:0.259
ISSN:1671-6876
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