Abstract
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 language | English |
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Pages (from-to) | 43-52 |
Number of pages | 10 |
Journal | Applied Mathematics Letters |
Volume | 13 |
Issue number | 7 |
DOIs | |
Publication status | Published - Oct 2000 |
Keywords
- Differential equations
- Hopf bifurcation
- Predator
- Prey
- Time delay
ASJC Scopus subject areas
- Applied Mathematics