The dynamics of Nipah virus (NiV) transmission and analy- sis

被引:5
|
作者
Ozioko, Arinze Luke [1 ]
Aja, Remigius Okeke [2 ]
Abang, Sunday Igwe Scott [3 ]
Atokolo, William [4 ]
Ahman, Queeneth Ojoma [5 ]
Mbah, Godwin C. E. [6 ]
机构
[1] Fed Univ Lokoja, Dept Math, Lokoja, Kogi, Nigeria
[2] Michael Okpara Univ Agr, Dept Math, Umudike, Nigeria
[3] Agcy Fed Minist Sci & Technol, PRODA Training Inst, Natl Ctr Technol management, Abuja, Enugu, Nigeria
[4] Kogi State Univ, Dept Math, Anyigba, Nigeria
[5] Confluence State Univ, Dept Math Sci, Osara, Kogi, Nigeria
[6] Univ Nigeria, Dept Math, Nsukka, Nigeria
来源
关键词
Nipah virus; vaccination; condom; isolation; asymptomatic;
D O I
10.22436/jmcs.031.04.03
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We propose a model for NiV infection mechanisms from pigs to humans and humans to humans, with a focus on the impact of a combination vaccine, and condom as a control measure. In a biologically realistic setting, we derived the basic characteristics of our suggested model, such as boundedness and positivity. We determined the basic reproduction number to investigate both the local and global behavior of the model's various equilibria. When the reproductive number is less than one, the disease-free state of Nipah virus is locally asymptotically stable, but unstable when it is higher than one. We established that the endemic equilibrium is locally asymptotically stable near unity using central manifold theory. Nipah virus free equilibrium is stable on the global stability scale, and endemic equilibrium is asymptotically stable. We determine that vaccination and condom are effective ways for reducing Nipah virus spread. In addition, Nipah virus carriers (asymptomatic) are identified as the most infectious individuals who should be targeted by the model. Finally, numerical simulations are used to verify the efficacy of the provided findings.
引用
收藏
页码:367 / 391
页数:25
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