Space dependent models for studying the spread of some diseases

Bálint Takács, Róbert Horváth, István Faragó

Research output: Contribution to journalArticle


In this paper we present some extensions of the classical SIR model with non-symmetric spatial dependence. SIR-type models usually describe the epidemic in a population, which is split into three categories, namely the susceptibles (S), the infected (I) and the recovered (R). The proposed model yields a system of partial integro-differential equations. Two methods handling the integrals of the equations are presented. We give numerical examples which show that the discrete models preserve the basic qualitative properties of the original biological process, and these results are supported by the oretical theorems.

Original languageEnglish
JournalComputers and Mathematics with Applications
Publication statusPublished - Jan 1 2019



  • Differential equations
  • Numerical solution
  • Qualitative behavior
  • Space-dependent epidemic models

ASJC Scopus subject areas

  • Modelling and Simulation
  • Computational Theory and Mathematics
  • Computational Mathematics

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