Analysis of a blood cell population model

The discrete dynamics of a blood cell population model are investigated in terms of bistability, instability and chaos. For the first time, the nonlinear model of blood cell production and destruction is investigated with a feedback mechanism incorporated. Numerical simulations demonstrate that the population of blood cells is dependent upon the history of the system, and upon whether parameters (destruction and production rates) are increasing or decreasing. The system also exhibits complex dynamics, such as period-bubbling, and period-doubling and undoubling routes to and from chaos. Some clinical examples are cited in the paper