https://doi.org/10.1140/epjp/s13360-020-00357-0
Regular Article
Dynamical features of pine wilt disease model with asymptotic carrier
1
Department of Mathematics, COMSATS University Islamabad, Attock Campus, Attock, Pakistan
2
Department of Mathematics, Xinyang Normal University, Xinyang, 464000, Henan, People’s Republic of China
3
CONACyT-Tecnológico Nacional de México/CENIDET, Interior Internado Palmira S/N, Col. Palmira, C.P. 62490, Cuernavaca, Morelos, Mexico
* e-mail: jose.ga@cenidet.tecnm.mx
Received:
3
February
2020
Accepted:
21
March
2020
Published online:
21
April
2020
The mathematical version for the transmission dynamics of pine wilt disease is explored, and its important mathematical features is analysed. Explicit formula for the reproduction number is calculated. Analytically, it is proved that the disease can be eradicated if the basic reproduction number becomes below unity. If this number exceeds unity, then a constant level of infectious and non-infectious classes is obtained. To explore the most influential factors for spread of the disease, we perform sensitivity analysis of the parameters. More interestingly, effective control programs have been designed on the basis of these sensitive parameters. Graphically, it has been shown that significant reduction has been occurred in the infected classes of pine trees by applying these controls.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2020
