Stability Analysis for Gang Model

A. A. Ahiaba; Ibrahim M. O.

dc.contributor.author	A. A. Ahiaba
dc.contributor.author	Ibrahim M. O.
dc.date.accessioned	2024-05-09T08:05:30Z
dc.date.available	2024-05-09T08:05:30Z
dc.date.issued	2018-05-19
dc.identifier.issn	2509-193X
dc.identifier.issn	2509-193X
dc.identifier.uri	http://localhost:8080/xmlui/handle/123456789/1074
dc.description	Article	en_US
dc.description.abstract	In this paper, criminal gang membership is treated as an infection that spreads through the host community by social contact. A mathematical model consisting of a system of coupled nonlinear ordinary differential equation is used to describe this spread. The equilibrium points of the model are found and their stabilities are investigated using the Routh Hurwtiz criteria. Moreover, the formula for basic reproductive number is obtained. The model exhibits two equilibra namely the Gang Free Equilibrium (GFE) and the Gang Endemic Equilibrium (GEE). It was found that for Rc <1, it is locally asymptotically stable for (GFE) and for Rc >1 for (GEE).	en_US
dc.language.iso	en	en_US
dc.publisher	International Journal of Academic Studies	en_US
dc.relation.ispartofseries	4;04
dc.subject	Epidemics models, Gangs, Equilibrium points, Stability, Equation	en_US
dc.title	Stability Analysis for Gang Model	en_US
dc.type	Article	en_US