  In this work we combing models of disease dynamics and economic production,
and we show the potential implications of this for demonstrating the importance
of savings for buffering an economy during the period of an epidemic.
  Finding an explicit function that relates poverty and the production of a
community is an almost impossible task because of the number of variables and
parameters that should be taken into account. However, studying the dynamics of
an endemic disease in a region that affects its population, and therefore its
ability to work, is an honest approach to understanding this function. We
propose a model, perhaps the simplest, that couples two dynamics, the dynamics
of an endemic disease and the dynamics of a closed economy of products and
goods that the community produces in the epidemic period.
  Some of the results of this study are expected and known in the literature
but some others are not. We highlight three of them: the interdependence that
exists between health and the product of that economy. The majority of the
known results only show the dependence in a single direction. Another of the
most important goals in this work is to show the existence of a poverty
Malthusian trap in economies with low levels of capital investment due to
pandemic disease. And another is to show that there is an optimal level of
savings that maximizes the \emph{per capita} product of the economy, which is
Machiavellian, but has important implications for market efficiency. The model
tells us why saving is important in an aggregate economy despite being affected
by an epidemic.
