A Mathematical Sustainable Development Model

Abstract

To construct an evaluation system to define when and how a county is sustainable or unsustainable, we describe metrics in eight aspects: health human, food security, access to clean water, local environmental quality, energy access, livelihoods, community vulnerability, and equitable sustainable development. An analytic hierarchy process (AHP) Model is established to get the grade of each country, and we use this grade to measure the sustainability level of Madagascar. We obtain three unsustainable indexes, including human health, food security and livelihoods with this method. Aiming at three unsustainable indexes, we put forward seven specific policies, which contain establishing hospitals, investing medical capital, introducing advanced agricultural technologies, importing food jobs and job trainings, providing education and providing minimum living guarantee. The implementation of policies is divided into four stage, which means four five-year plans are made. We identify the differences between there is a plan and get intuitively the effect degree of every policy. All in all, we clearly evaluate the effect our 20year sustainability plan has on sustainability level of Madagascar.