A discrete SIS-model for a vector-transmitted disease

K. W. Blayneh, S. R. Jang

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

The dynamics of a disease transmitted by a vector from one individual host to the other is studied using a system of four difference equations. The impact of eliminating or limiting the total number of disease-transmitting agents, treating the infected hosts and implementing prevention mechanisms on the overall effort of controlling the disease is considered. The study also looks into the effects of some additional factors such as, the transmission of the disease from vector-to-vector, then to a host via the surrounding media. Analytical approach is used to get local and global stability of equilibrium points.

Original languageEnglish
Pages (from-to)1271-1284
Number of pages14
JournalApplicable Analysis
Volume85
Issue number10
DOIs
StatePublished - Oct 2006

Keywords

  • 35M10
  • 92D25
  • AMS Subject Classifications
  • Disease-free Equilibrium
  • Global
  • Local
  • Vector-borne

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