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On a Difference Equation with Exponentially Decreasing Nonlinearity.
- Source :
-
Discrete Dynamics in Nature & Society . 2011, Special section p1-17. 17p. 1 Chart, 5 Graphs. - Publication Year :
- 2011
-
Abstract
- 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10260226
- Database :
- Academic Search Index
- Journal :
- Discrete Dynamics in Nature & Society
- Publication Type :
- Academic Journal
- Accession number :
- 85950603
- Full Text :
- https://doi.org/10.1155/2011/147926