Application of operational matrices to numerical solution of stochastic SIR model

DOI10.1007/s40065-016-0144-2zbMath1342.65009OpenAlexW2278348423WikidataQ59463573 ScholiaQ59463573MaRDI QIDQ2629203

F. Hosseini Shekarabi, Morteza Khodabin, Khosrow Maleknejad

Publication date: 5 July 2016

Published in: Arabian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40065-016-0144-2

zbMATH Keywords

numerical examplesoperational matricesstochastic Volterra integral equationsbiologic systemSIR infection disease model

Mathematics Subject Classification ID

Epidemiology (92D30) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30) Volterra integral equations (45D05) Stochastic integral equations (60H20) Random integral equations (45R05)

Related Items (2)

Application of operational matrices to numerical solution of stochastic SIR model ⋮ A computational method for solving stochastic Itô-Volterra integral equation with multi-stochastic terms

Cites Work

• Unnamed Item
• Two-dimensional triangular functions and their applications to nonlinear 2D Volterra-Fredholm integral equations
• Effects of predation on host-pathogen dynamics in SIR models
• Asymptotic behavior of global positive solution to a stochastic SIR model
• Modification of block pulse functions and their application to solve numerically Volterra integral equation of the first kind
• Global stability of an SIR epidemic model with constant infectious period
• Using triangular orthogonal functions for solving Fredholm integral equations of the second kind
• Numerical solution of nonlinear Volterra-Fredholm integro-differential equations via direct method using triangular functions
• Using direct method for solving variational problems via triangular orthogonal functions
• A new set of orthogonal functions and its application to the analysis of dynamic systems
• Numerical solution of stochastic Volterra integral equations by a stochastic operational matrix based on block pulse functions
• The dynamics of a new SIR epidemic model concerning pulse vaccination strategy
• An epidemic model of a vector-borne disease with direct transmission and time delay
• Numerical solution of integral equations system of the second kind by block-pulse functions
• Exclusion and persistence in deterministic and stochastic chemostat models
• Application of operational matrices to numerical solution of stochastic SIR model
• Global behaviour of an SIR epidemic model with time delay
• Stochastic differential equations. An introduction with applications.

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