Existence and Permanence in a Diffusive KiSS Model with Robust Numerical Simulations
Joint Authors
Patidar, Kailash
Owolabi, Kolade M.
Source
International Journal of Differential Equations
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-12-24
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We have given an extension to the study of Kierstead, Slobodkin, and Skellam (KiSS) model.
We present the theoretical results based on the survival and permanence of the species.
To guarantee the long-term existence and permanence, the patch size denoted as L must be greater than the critical patch size Lc.
It was also observed that the reaction-diffusion problem can be split into two parts: the linear and nonlinear terms.
Hence, the use of two classical methods in space and time is permitted.
We use spectral method in the area of mathematical community to remove the stiffness associated with the linear or diffusive terms.
The resulting system is advanced with a modified exponential time-differencing method whose formulation was based on the fourth-order Runge-Kutta scheme.
With high-order method, this extends the one-dimensional work and presents experiments for two-dimensional problem.
The complexity of the dynamical model is discussed theoretically and graphically simulated to demonstrate and compare the behavior of the time-dependent density function.
American Psychological Association (APA)
Owolabi, Kolade M.& Patidar, Kailash. 2015. Existence and Permanence in a Diffusive KiSS Model with Robust Numerical Simulations. International Journal of Differential Equations،Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1065509
Modern Language Association (MLA)
Owolabi, Kolade M.& Patidar, Kailash. Existence and Permanence in a Diffusive KiSS Model with Robust Numerical Simulations. International Journal of Differential Equations No. 2015 (2015), pp.1-8.
https://search.emarefa.net/detail/BIM-1065509
American Medical Association (AMA)
Owolabi, Kolade M.& Patidar, Kailash. Existence and Permanence in a Diffusive KiSS Model with Robust Numerical Simulations. International Journal of Differential Equations. 2015. Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1065509
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1065509