MATHEMATICAL MODEL OF ETHNIC VIOLENCE USING DIFFERENTIAL EQUATIONS
Date
2017-07-04
Journal Title
Journal ISSN
Volume Title
Publisher
Department of mathematic education, Nasarawa state university, keffi.
Abstract
Ethnic violence was modeled as a contagious spread of infectious disease. A mathematical model consisting of a system of nonlinear Ordinary Differential Equations using a modeling technique where the total population is divided into Susceptible, Aggressive and Violent (SAV) was developed and used to describe the spread of ethnic violence. We examined the stability of the model at the equilibrium state and how the aggressive can be eradicated without necessarily affecting the susceptible population. The analysis shows that the stability of the model depends on increasing the susceptible population by checking the infective factors
Description
Keywords
Modelling, Differential Equations, Population
Citation
Achimugu, Hassan, Ata-Agbini, U.joy, Aliyu, Abdullahu (2013): Ethnicity, Ethnic Crisis and Good Governance in Nigeria: Implications for sustainable National Development: Journal of Public Policy and Administration Research, Vol. 3, No. 12, Pg 46-61 Carlos Castilo-Chavez (2012): Mathematical Models in Population Biology and Epidemiology, Springer New York Fearon J. D., Laitin D. D. (2003): Ethnicity, Insurgency and Civil war, American Political Science Review, Vol 97, Pages 75-90 Ogachi O. (1999): Economic Reform, Political Liberalization and Economic Ethnic Conflict in Kenya, Journal ofAfrican Development, Vol XXIV, Nos. 1 &2,Pg. 83-108. Wallerstein I. (1979): The capitalist world economy. Cambridge University Press