Sustainability and long-term strategies in the modeling of biological processes

In this article, we intend to explore the role of using an ”infinite time horizon” framework address issues sustainability and long-term strategies in control biological processes. We use two case study models explain why considering a fixed or moving endpoint does not lead desired effects. The first model considered concerns spread infectious disease its treatment as infinite horizon optimal problem. second one deals with metronomic chemotherapy cancer over remaining lifetime patient. latter is consistent conception chronic disease. Both show structural differences choice objective functional, uses stabilization functional containing weight function, contains damage which involves density function.