The following information was submitted:
Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 52-285
Full Name: Gilberto Gonzalez
Position: Professor
Age: ON
Sex: Male
Address: Dpto. Calculo, Fac. Ing, Universidad de los Andes, Merida
Country: VENEZUELA
Tel: 582742632078
Tel prefix:
Fax:
E-mail address: gcarlos@ula.ve
Other E-mails: gilgonpa@doctor.upv.es
Title of the Paper: Matrix nonstandard numerical schemes for epidemic models
Authors as they appear in the Paper: Gilberto Gonzalez, Rafael Villanueva, Abraham Arenas
Email addresses of all the authors: gilgonpa@doctor.upv.es,rjvillan@imm.upv.es,aarenas@sinu.unicordoba.edu.co
Number of paper pages: 10
Abstract: This paper is concerned with the construction and developing of several nonstandard finite difference (NSFD) schemes in matrix form in order to obtain numerical solutions of epidemic models. In particular, we deal with a classical SIR epidemic model and a seasonal model associated with the evolution of the transmission of respiratory syncytial virus RSV in the human population. The first model is an autonomous model, and the second one is a nonautonomous one which generally is more difficult to be solved. The numerical schemes developed can be used in other general epidemic models which are based on ordinary differential equations. One advantage of the developed methodology is that can be used easily by the scientific community without any special knowledge. In addition, these NSFD schemes which are based on the the nonstandard finite difference methods developed by Mickens solve numerically the systems describing epidemics with less computational effort. Finally, !
with these matrix NSFD schemes it can be exploited easily matrix operations advantages.
Keywords: Matrix difference scheme, Nonstandard schemes, Matrix computation, Numerical solution, Epidemic model.
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