A mathematical analysis of Pine Wilt disease with variable population size and optimal control strategies

2018 ◽  
Vol 108 ◽  
pp. 205-217 ◽  
Author(s):  
Muhammad Altaf Khan ◽  
Rizwan Khan ◽  
Yasir Khan ◽  
Saeed Islam
Keyword(s):  
Optimal Control ◽  
Population Size ◽  
Mathematical Analysis ◽  
Control Strategies ◽  
Pine Wilt Disease ◽  
Wilt Disease ◽  
Pine Wilt ◽  
Variable Population ◽  
Variable Population Size

scholarly journals Stability Analysis and Optimal Control Strategy for Prevention of Pine Wilt Disease

2014 ◽  
Vol 2014 ◽  
pp. 1-15 ◽  
Author(s):  
Kwang Sung Lee
Keyword(s):  
Mathematical Model ◽  
Optimal Control ◽  
Basic Reproduction Number ◽  
Reproduction Number ◽  
Control Strategies ◽  
Pine Wilt Disease ◽  
Wilt Disease ◽  
Pine Wilt ◽  
The Stability ◽  
The Basic Reproduction Number

We propose a mathematical model of pine wilt disease (PWD) which is caused by pine sawyer beetles carrying the pinewood nematode (PWN). We calculate the basic reproduction numberR0and investigate the stability of a disease-free and endemic equilibrium in a given mathematical model. We show that the stability of the equilibrium in the proposed model can be controlled through the basic reproduction numberR0. We then discuss effective optimal control strategies for the proposed PWD mathematical model. We demonstrate the existence of a control problem, and then we apply both analytical and numerical techniques to demonstrate effective control methods to prevent the transmission of the PWD. In order to do this, we apply two control strategies: tree-injection of nematicide and the eradication of adult beetles through aerial pesticide spraying. Optimal prevention strategies can be determined by solving the corresponding optimality system. Numerical simulations of the optimal control problem using a set of reasonable parameter values suggest that reducing the number of pine sawyer beetles is more effective than the tree-injection strategy for controlling the spread of PWD.

Role of pine wilt disease based on optimal control strategy at multiple scales: A case study of Korea

2021 ◽  
Vol 46 (4) ◽  
Author(s):  
Muhammad Ozair ◽  
Takasar Hussain ◽  
Kashif Ali Abro ◽  
Sajid Jameel ◽  
Aziz Ullah Awan
Keyword(s):  
Optimal Control ◽  
Control Strategy ◽  
Multiple Scales ◽  
Pine Wilt Disease ◽  
Wilt Disease ◽  
Optimal Control Strategy ◽  
Pine Wilt

scholarly journals Modelling the dynamics of Pine Wilt Disease with asymptomatic carriers and optimal control

2020 ◽  
Vol 10 (1) ◽  
Author(s):  
Muhammad Altaf Khan ◽  
L. Ahmed ◽  
Prashanta Kumar Mandal ◽  
Robert Smith ◽  
Mainul Haque
Keyword(s):  
Optimal Control ◽  
Pine Wilt Disease ◽  
Wilt Disease ◽  
Asymptomatic Carriers ◽  
Pine Wilt

Optimal control & dynamical aspects of a stochastic pine wilt disease model

2019 ◽  
Vol 356 (7) ◽  
pp. 3991-4025 ◽  
Author(s):  
Ravi P. Agarwal ◽  
Qaisar Badshah ◽  
Ghaus ur Rahman ◽  
Saeed Islam
Keyword(s):  
Optimal Control ◽  
Disease Model ◽  
Pine Wilt Disease ◽  
Wilt Disease ◽  
Pine Wilt

scholarly journals Mathematical modeling and stability analysis of Pine Wilt Disease with optimal control

2017 ◽  
Vol 7 (1) ◽  
Author(s):  
M. A. Khan ◽  
K. Ali ◽  
E. Bonyah ◽  
K. O. Okosun ◽  
S. Islam ◽  
...  
Keyword(s):  
Mathematical Modeling ◽  
Optimal Control ◽  
Stability Analysis ◽  
Pine Wilt Disease ◽  
Wilt Disease ◽  
Pine Wilt

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

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Riaz Ahmad Khan ◽  
Takasar Hussain ◽  
Muhammad Ozair ◽  
Fatima Tasneem ◽  
Muhammad Faizan
Keyword(s):  
Lyapunov Functional ◽  
Reproduction Number ◽  
Control Strategies ◽  
Pine Wilt Disease ◽  
Wilt Disease ◽  
Control Measures ◽  
Disease Eradication ◽  
Graph Theoretic ◽  
Pine Wilt ◽  
Dynamical Features

AbstractThis 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.

Optimal control approach based on sensitivity analysis to retrench the pine wilt disease

2021 ◽  
Vol 136 (7) ◽  
Author(s):  
Takasar Hussain ◽  
Muhammad Ozair ◽  
Muhammad Faizan ◽  
Sajid Jameel ◽  
Kottakkaran Sooppy Nisar
Keyword(s):  
Optimal Control ◽  
Sensitivity Analysis ◽  
Pine Wilt Disease ◽  
Wilt Disease ◽  
Control Approach ◽  
Pine Wilt ◽  
Optimal Control Approach

scholarly journals Qualitative analysis and sensitivity based optimal control of pine wilt disease

2018 ◽  
Vol 2018 (1) ◽  
Author(s):  
Aziz Ullah Awan ◽  
Takasar Hussain ◽  
Kazeem Oare Okosun ◽  
Muhammad Ozair
Keyword(s):  
Optimal Control ◽  
Qualitative Analysis ◽  
Pine Wilt Disease ◽  
Wilt Disease ◽  
Pine Wilt

scholarly journals Effects of cavitation on the development of pine wilt disease caused by Bursaphelenchus xylophilus.

1988 ◽  
Vol 54 (5) ◽  
pp. 606-615 ◽  
Author(s):  
Keiko KURODA ◽  
Toshihiro YAMADA ◽  
Kazuhiko MINEO ◽  
Hirotada TAMURA
Keyword(s):  
Pine Wilt Disease ◽  
Bursaphelenchus Xylophilus ◽  
Wilt Disease ◽  
Pine Wilt
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