Abstract
In this paper, two structure preserving nonstandard finite difference (NSFD) operator splitting schemes are designed for the solutions of reaction diffusion epidemic models. The proposed schemes preserve all the essential properties possessed by the continuous systems. These schemes are applied on a diffusive SEIQV epidemic model with saturated incidence rate to validate the results. Furthermore, stability of the continuous system is proved and bifurcation value is evaluated. Comparison is also made with the existing operator splitting numerical scheme. Simulations are also done for numerical experiments.
Highlights
Mathematical modeling has a prominent role in describing physical phenomena in various disciplines of mathematics, physical sciences, social sciences, engineering, life sciences, and many more [1,2,3,4,5,6]
We show the numerical stability of the SEIQV epidemic model with diffusion and evaluate the bifurcation value of the vaccination parameter ω with the aid of the Routh-Hurwitz method
The stability of the SEIQV model is guaranteed numerically by using criteria defined by Routh-Hurwitz
Summary
Mathematical modeling has a prominent role in describing physical phenomena in various disciplines of mathematics, physical sciences, social sciences, engineering, life sciences, and many more [1,2,3,4,5,6]. That is, mathematical models of infectious diseases, are a simplified way to illustrate the transmission dynamics of the complicated nonlinear processes and complex behavior of an infectious disease in individuals within a population These are deterministic models that are used to allocate the population to different subclasses or compartments, describing a particular stage of the epidemic. We propose two operator-splitting NSFD methods, one explicit and one implicit These methods are used to solve the SEIQV epidemic model with diffusion. The convergence of the proposed NSFD operator splitting methods toward the equilibrium points is the same as the convergence of continuous an SEIQV reaction-diffusion epidemic system. We show the numerical stability of the SEIQV epidemic model with diffusion and evaluate the bifurcation value of the vaccination parameter ω with the aid of the Routh-Hurwitz method
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
