Quadratic infectious diseases mathematical models: Chronic states, sanity levels, and treatment

Specific quadratic continuous models are examined to study the dynamics of interacting cells of an organism that is affected by a disease or virus. We focus only on models that exhibit a chronic state and we study conditions on the parameters involved in the models to guarantee that the organism can obtain a level of sanity. Aggressive and nonaggressive treatments are applied when the organism can not reach such level of recovery.