Ticks and tick-borne diseases in Africa: a disease transmission model

被引：0
|
作者：
Mwambi, HG [1 ]
机构：
[1] Univ Natal, Sch Math Stat & Informat Technol, ZA-3209 Pietermaritzburg, South Africa
来源：
IMA JOURNAL OF MATHEMATICS APPLIED IN MEDICINE AND BIOLOGY | 2002年 / 19卷 / 04期
关键词：
disease transmission; tick-borne disease; theileria; reproduction number; transmission route; persistence; excess mortality; disease control; alternate hosts;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A general disease transmission model is developed for a tick-borne disease for cattle. Both the tick and cow are possible hosts for the disease parasite. The two species are therefore classified as infected or uninfected. The tick individual is further classified as sedentary (off-host) or feeding (on-host). First conditions for the persistence of the tick population are investigated. A threshold quantity for the disease is derived which is dependent on both the tick and host population parameters and the two transmission rates: from ticks to cattle and vice versa. From the analysis persistence and non-persistence conditions for both the tick population and the disease are investigated. The effect of the presence of a second host species is introduced as an additional feature in the analysis.
引用
收藏
页码：275 / 292
页数：18
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