Dynamical features of pine wilt disease through stability, sensitivity and optimal control

Advances in Difference Equations

article

Khan, Riaz Ahmad¹  Hussain, Takasar²  Ozair, Muhammad²  Tasneem, Fatima²  Faizan, Muhammad² 

[1] School of Mechanical and Manufacturing Engineering, National University of Sciences and Technology;Department of Mathematics, COMSATS University Islamabad, Attock Campus

关键词: Deterministic model;    Stability;    Real data;    Vital factors for disease spreading;    Effective control strategies;   

DOI  :  10.1186/s13662-021-03411-y

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

This work investigates the dissemination mechanism of pine wilt disease. The basic reproduction number is computed explicitly, and an ultimate invariable level of contagious hosts and vectors, without and with disease, is discussed by using this number. Highly effective techniques, Lyapunov functional and graph theoretic, are utilised to obtain the ultimate constant level of the whole population. The idea of complete disease eradication and reduction of endemic level is explored through the utilisation of two efficient methods. Using sensitivity analysis approach, necessary control measures are suggested to overcome the disease. Using the literature data, the robustness of control strategies is shown graphically.

【 授权许可】

CC BY