DYNAMICAL MODEL OF VIVAX MALARIA INTERMITTENCE ATTACK IN VIVO

DYNAMICAL MODEL OF VIVAX MALARIA INTERMITTENCE ATTACK IN VIVO
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间日疟原虫体内间歇性发作的动态模型

DOI:
10.1142/s1793524509000753
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发表时间:
2009-12
影响因子:
2.2
通讯作者:
Dong, Zhijun
Dong, Zhijun
中科院分区:
数学2区
文献类型:
--
作者:
Cui, Jing-An;Dong, Zhijun

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提供了间日疟模型的动态行为,并描述了人体内间日热症状的定期复发。计算了基本再生数R 0,并解释了基本再生数与寄生阈值之间的关系。如果R 0 1,则疟原虫是可存活的,并且存在所谓的寄生阈值。当寄生虫的值大于该寄生虫阈值时,出现间日热的症状;否则,如果寄生虫的值小于该寄生虫阈值,则间日热不能在体内突然给出症状的迹象。我们通过数值模拟说明了感染婴儿的严重性比感染成人的严重性差,并解释了通过临床治疗消除红细胞期疟原虫可以阻止间日疟的发展。
Dynamical behavior of a vivax malaria model is provided and regular recurrences of the symptoms of the tertian fever are described in the human body. We calculate the basic reproduction number R0 and explain the connection between the basic reproduction number and the parasite-threshold. If R0 1, then malarial parasites are survivable and there is a so called parasite-threshold. When the value of the parasites is larger than this parasite-threshold the symptoms of the tertian fever appear; otherwise, if the value of the parasites is less than this parasite-threshold the tertian fever cannot give signs of the symptoms suddenly in vivo. We illustrate that the gravity of infected baby is worse than that of infected grownup and also explain that the advancing of the vivax malaria can be arrested by eliminating malarial parasites in erythrocyte stage with clinical treatment by numerical simulations.
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