Open AccessModeling Dynamics of Political Parties with Poaching from One Party
Author(s) -
Priscilla S. Macansantos
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1593/1/012013
Subject(s) - politics , stability (learning theory) , point (geometry) , equilibrium point , dynamics (music) , mathematical economics , political economy , economics , political science , sociology , computer science , differential equation , mathematics , law , mathematical analysis , pedagogy , geometry , machine learning
Dynamical social phenomena have been modeled using differential systems employed in mathematical models of epidemiology. In Misra (2012), an epidemiological model is used to study the “spread” of two political parties. In Nyabadzaet. al (2016), the authors point out that the Misra model may be generalized by considering switching between political parties. We take off from these to consider a model in which there are two parties, with a third party recruiting only from one, hence acting as a renegade to one of the two parties. We locate equilibria and consider local stability particularly of the co-existence/endemic equilibrium. Finally, we look at parameter values that result in the recruitment activities of the third party adversely affecting the group it recruits from.