A Within-Host Model of Dengue Infection with a Non-Constant Monocyte Production Rate
A Within-Host Model of Dengue Infection with a Non-Constant Monocyte Production Rate作者机构：Department of Mathematical Sciences Loyola University New Orleans New Orleans LA USA Department of Mathematical Sciences Rensselaer Polytechnic Institute Troy NY USA
出 版 物：《Applied Mathematics》 (应用数学（英文）)
年 卷 期：2016年第7卷第18期
页 面：2382-2393页
学科分类：1004[医学-公共卫生与预防医学(可授医学、理学学位)] 100401[医学-流行病与卫生统计学] 10[医学]
主 题：Dengue Within-Host Model Net Reproductive Rate Treatment Scenarios
摘 要：In this paper we modify previous models to develop a new model of within-host dengue infection without the assumption that monocyte production is constant. We show that this new model exhibits behavior not seen in previous models. We then proceed by obtaining an expression for the net reproductive rate of the virus and thus establish a stability result. We also perform a sensitivity analysis to test various treatment strategies and find that two strategies might be fruitful. One is the reduction of the infection rate of monocytes by viruses and the other, more effective, theoretical approach is to reduce the number of new viruses per infected monocyte.
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