Global dynamics of humoral immunity Chikungunya virus with two routes of infection and Holling type-II

被引：8

作者：

Elaiw, A. M. ^{[1
]}

Almalki, S. E. ^{[2
]}

Hobiny, A. D. ^{[1
]}

机构：

[1] King Abdulaziz Univ, Fac Sci, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia

[2] Tech & Vocat Training Corp, Jeddah Coll Technol, POB 17608, Jeddah 21494, Saudi Arabia

来源：

JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS | 2019年 / 19卷 / 02期

关键词：

Chikungunya virus; holling type-II; global stability; Lyapunov function; viral and cellular infections; TO-CELL INFECTION; DIFFERENTIAL DRUG EFFICACY; MATHEMATICAL-MODEL; DENGUE DISEASE; STABILITY; TRANSMISSION; MALARIA; SPREAD; BIFURCATION; HIV-1;

D O I：

10.22436/jmcs.019.02.01

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, we analyze the global dynamics of within-host Chikungunya virus (CHIKV) infection model with humoral immune response. We incorporate two modes of infections, attaching a CHIKV to a host monocyte, and contacting an infected monocyte with an uninfected monocyte. The infection incident rate is given by Holling type-II. The basic reproduction number R-0 is used to prove that the CHIKV-free equilibrium E-0 is globally asymptotically stable when R-0 <= 1 and the infected equilibrium E-1 is globally asymptotically stable when R-0 > 1. Numerical simulations have been performed to confirm the theoretical results.

引用

页码：65 / 73

页数：9

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