摘要：We establish a necessary and sufficient condition for global stability
of the nonlinear discrete red blood cells survival model and demonstrate that local asymptotic
stability implies global stability. Oscillation and solution bounds are investigated. We also show
that, for different values of the parameters, the solution exhibits some time-varying dynamics, that is,
if the system is moved in a direction away from stability (by increasing the parameters), then
it undergoes a series of bifurcations that leads to increasingly long periodic cycles and finally to
deterministic chaos. We also study the chaotic behavior of the model with a constant positive
perturbation and prove that, for large enough values of one of the parameters, the perturbed system
is again stable.
