Structure preserving numerical scheme for spatio-temporal epidemic model of plant disease dynamics
[ X ]
Tarih
2021
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this article, an implicit numerical design is formulated for finding the numerical solution of spatiotemporal nonlinear dynamical system with advection. Such type of problems arise in many fields of life sciences, mathematics, physics and engineering. The epidemic model describes the population densities that have some special types of features. These features should be maintained by the numerical design. The proposed scheme, not only solves the nonlinear physical system but also preserves the structure of the state variables. Von-Neumann criteria, M-matrix theory and Taylor's expansion are used for proving some standard results. Basic reproduction number is evaluated and its key role in deciding the stability at the equilibrium points is also investigated. Graphical solutions are also presented against the test problem.
Açıklama
Anahtar Kelimeler
Positivity preserving scheme, Advection reaction system, Epidemic model, M matrix theory
Kaynak
Results in Physics
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
Cilt
30
