Stage-structure model for the dynamics of whitefly transmitted plant viral disease: an optimal control approach

被引：4

作者：

Adhurya, Sagar ^{[1
]}

Al Basir, Fahad ^{[2
]}

Ray, Santanu ^{[1
]}

机构：

[1] Visva Bharati, Syst Ecol & Ecol Modeling Lab, Dept Zool, Santini Ketan 731235, W Bengal, India

[2] Asansol Girls Coll, Dept Math, Asansol 713304, W Bengal, India

来源：

COMPUTATIONAL & APPLIED MATHEMATICS | 2022年 / 41卷 / 04期

关键词：

Mathematical model; Basic reproduction ratio; Bemisia; Forward and Hopf bifurcation; Optimal control; Numerical simulation; TABACI HEMIPTERA ALEYRODIDAE; BEMISIA-TABACI; BIOLOGICAL-CONTROL; NATURAL ENEMIES; RESISTANCE; HOMOPTERA;

D O I：

10.1007/s40314-022-01864-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, a mathematical model is formulated to study the dynamics of whitefly transmitted viral diseases in plants. Here, the aim is to capture the effect of whitefly's age-stages on the disease dynamics. The existence of the equilibria, basic reproductive number (R-0), and stability have been studied through qualitative analysis. It is found that the onset of oscillations may occur through Hopf bifurcation in the system. Forward bifurcation is also observed at R-0 = 1. Finally, optimal control theory has been applied for the cost-effectiveness of disease management.

引用

页数：22

共 45 条

[1] Effects of Vector Maturation Time on the Dynamics of Cassava Mosaic Disease [J].

Al Basir, F. ;

Kyrychko, Y. N. ;

Blyuss, K. B. ;

Ray, S. .

BULLETIN OF MATHEMATICAL BIOLOGY, 2021, 83 (08)

[2]

Al-Basir F., 2017, Control Cybern., V46, P325

[3]

Arno Judit, 2010, P385

[4]

Bailey N.T.J., 1975, The mathematical theory of infectious diseases and its applications

[5] Understanding the dynamics of neonicotinoid cactivity in the management of Bemisia tabaci whiteflies on poinsettias [J].

Byrne, Frank J. ;

Oletting, Ronald D. ;

Bethke, James A. ;

Green, Charles ;

Chamberlin, Joe .

CROP PROTECTION, 2010, 29 (03) :260-266

[6]

CAB International, 2019, BEM TAB MEAM1 SILV W

[7]

CAB International, 2019, BEM TAB MED SILV WHI

[8] Bemisia tabaci: A Statement of Species Status [J].

De Barro, Paul J. ;

Liu, Shu-Sheng ;

Boykin, Laura M. ;

Dinsdale, Adam B. .

ANNUAL REVIEW OF ENTOMOLOGY, VOL 56, 2011, 56 :1-19

[9] Biological control of Bemisia tabaci with fungi [J].

Faria, M ;

Wraight, SP .

CROP PROTECTION, 2001, 20 (09) :767-778

[10] Cross-resistance study and biochemical mechanisms of thiamethoxam resistance in B-biotype Bemisia tabaci (Hemiptera: Aleyrodidae) [J].

Feng, Yuntao ;

Wu, Qingjun ;

Wang, Shaoli ;

Chang, Xiaoli ;

Xie, Wen ;

Xu, Baoyun ;

Zhang, Youjun .

PEST MANAGEMENT SCIENCE, 2010, 66 (03) :313-318

← 1 2 3 4 5 →