Mathematical Model for Housing Allocation and Resettlement of Homeless Population Due to Boko Haram Insurgency in Askira Uba, Biu, Damboa and Gwoza Local Government Areas of Borno State, Nigeria

Abstract

In this study, a model of optimum resettlement pattern for internally displaced persons due to Boko Haram insurgency in Askira Uba, Biu, Damboa and Gwoza Local Government areas of Borno State that suffered all kinds of impacts by Boko Haram insurgency is defined and established. Interview and observation methods of data collection are used to collect data in the four Local Government areas which is interpreted into the ordinary differential equation for developing the model by considering the havoc of the insurgency on the individuals. The system of ordinary differential equations was solved using Cauchy’s solution, and the stability of the system was also analysed using asymptotic analysis. The results established show the flow for optimum resettlement of internally displaced families in the study area which may be used as a scheme by the Borno State government in the distribution of resources to victims in any natural disaster. It is concluded that the possible extension of this work is to make the system of equations of the model non-autonomous and use a small-time scale to drive the stability and asymptotic behaviours.