Hopf bifurcation in multiparty political systems with time delay in switching

Q. J A Khan*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

16 Citations (Scopus)


A model of a political system with three political parties and a group of nonaffiliated voters is considered. The model consists of four coupled ordinary differential equations in which members of the third party change allegiance and after a time delay become an active member of one of the other parties. Equilibrium and stability analysis are carried out. Taking the time delay as a bifurcation parameter, it is shown that a Hopf bifurcation can occur.

Original languageEnglish
Pages (from-to)43-52
Number of pages10
JournalApplied Mathematics Letters
Issue number7
Publication statusPublished - Oct 2000


  • Differential equations
  • Hopf bifurcation
  • Predator
  • Prey
  • Time delay

ASJC Scopus subject areas

  • Computational Mechanics
  • Control and Systems Engineering
  • Applied Mathematics
  • Numerical Analysis


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