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具有疫苗接种和年龄结构的疟疾传播模型的动力学行为

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

age-structurevaccinationequilibriabackward bifurcation

张真真、李盈科、赵睿轩

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新疆农业大学数理学院,新疆乌鲁木齐 830052

年龄结构 疫苗接种 平衡点 后向分支

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
年,卷(期):2024.23(4)