Global Dynamics of a Within-Host Model for Usutu Virus

被引：3
作者：
Nali, Ibrahim [1 ]
Denes, Attila [2 ]
机构：
[1] Univ Szeged, Bolya Inst, H-6720 Szeged, Hungary
[2] Univ Szeged, Bolya Inst, Natl Lab Hlth Secur, H-6720 Szeged, Hungary
来源：
COMPUTATION | 2023年 / 11卷 / 11期
关键词：
Usutu virus; virus dynamics; stability analysis; Lyapunov function; Crowley-Martin functional response; WEST-NILE; STABILITY; AUSTRIA; ARBOVIRUSES; INFECTIONS; RESPONSES;
D O I：
10.3390/computation11110226
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We propose a within-host mathematical model for the dynamics of Usutu virus infection, incorporating Crowley-Martin functional response. The basic reproduction number R0 is found by applying the next-generation matrix approach. Depending on this threshold, parameter, global asymptotic stability of one of the two possible equilibria is also established via constructing appropriate Lyapunov functions and using LaSalle's invariance principle. We present numerical simulations to illustrate the results and a sensitivity analysis of R0 was also completed. Finally, we fit the model to actual data on Usutu virus titers. Our study provides new insights into the dynamics of Usutu virus infection.
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页数：17
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