Sensitivity analysis of cassava mosaic disease with saturation incidence rate model

AIMS Mathematics

article

Sireepatch Sangsawang¹  Usa Wannasingha Humphries¹  Amir Khan²  Puntani Pongsumpun³ 

[1] Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi;Department of Mathematics and Statistics, University of Swat;Department of Mathematics, School of Science, King Mongkut's Institute of Technology Ladkrabang

关键词: basic reproductive number;    cassava mosaic disease;    geometric approach;    stability analysis;    sensitivity analysis;   

DOI  :  10.3934/math.2023315

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

Cassava mosaic disease (CMD) is caused by a virus transmitted by the whitefly. This disease can destroy cassava at any stage of its growth and it resulted in lower cassava yields. In this paper, we developed a mathematical model for the epidemic of cassava mosaic disease with a deterministic model which has saturation incidence rates. This model aims to explain the effect of vectors on cassava disease outbreaks. First, this model was analyzed using standard dynamic methods to determine the behavior of the solution. We found the existence and condition of disease-free and endemic steady state. The basic reproductive number ($ R_0 $) is obtained by using the next-generation method which $ R_0 $ helps assess the ability to spread infectious diseases. Second, the stability of the steady state was analyzed, then we obtain the condition of existence of local stability and global stability at each steady state of this model. Third, analysis of the sensitivity indices in the threshold number to determine the effect of the various parameters. Finally, the results of the theoretical model were validated by numerical simulations. It is represented by various graphs converging at a steady state and stable.

【 授权许可】

CC BY