Mathematical modeling on co-infection: transmission dynamics of Zika virus and Dengue fever

被引：12

作者：

Jose, Sayooj Aby ^{[1
]}

Raja, R. ^{[2
]}

Omede, B., I ^{[3
]}

Agarwal, Ravi P. ^{[4
]}

Alzabut, J. ^{[5
,6
]}

Cao, J. ^{[7
,8
]}

Balas, V. E. ^{[9
]}

机构：

[1] Alagappa Univ, Dept Math, Karaikkudi 630004, Tamil Nadu, India

[2] Alagappa Univ, Ramanujan Ctr Higher Math, Karaikkudi 630004, Tamil Nadu, India

[3] Kogi State Univ, Dept Math Sci, Anyigba, Nigeria

[4] Texas A&M Univ Kingsville, Dept Math, Kingsville, TX USA

[5] Prince Sultan Univ, Dept Math & Gen Sci, Riyadh 12435, Saudi Arabia

[6] OSTIM Tech Univ, Dept Ind Engn, TR-06374 Ankara, Turkey

[7] Southeast Univ, Sch Math, Nanjing 210096, Peoples R China

[8] Yonsei Univ, Yonsei Frontier Lab, Seoul 03722, South Korea

[9] Aurel Vlaicu Univ Arad, Dept Automat & Appl Informat, Arad, Romania

来源：

NONLINEAR DYNAMICS | 2023年 / 111卷 / 05期

关键词：

Mathematical modeling; Co-infection; Zika virus; Dengue fever; Stability analysis; Basic reproduction number; Bifurcation analysis; BACKWARD BIFURCATIONS; CLINICAL PRESENTATION; CHIKUNGUNYA VIRUS; OUTBREAK;

D O I：

10.1007/s11071-022-08063-5

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

In this paper, a deterministic mathematical model for Dengue Fever (DF) and Zika virus (ZIKV) co-infection transmission dynamics is formulated and analyzed. Two sub-models, namely ZIKV-only and DF-only sub-models, are considered first of all. Rigorous qualitative analysis of the sub-models reveals that each of the diseases undergoes the phenomenon of backward bifurcation when the associated reproduction number of both ZIKV-only and DF-only submodels (denoted by R-0z(+) and R-0d respectively) is less than unity. It is shown, using the centre manifold theory that the full ZIKV-DF co-infection model undergoes a backward bifurcation phenomenon. In addition, simulation of the full ZIKV-DF model shows the clear picturization of disease transmission and also we provide the solution of model numerically in detail.

引用

页码：4879 / 4914

页数：36

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Ravi P. Agarwal
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V. E. Balas
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