- Title
- Global stability, periodic solutions and optimal control in a nonlinear differential delay model
- Creator
- Ivanov, Anatoli; Mammadov, Musa
- Date
- 2010
- Type
- Text; Conference proceedings
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/53768
- Identifier
- vital:4346
- Identifier
- https://www.emis.de/journals/EJDE/conf-proc/19/i1/ivanov.pdf
- Abstract
- A nonlinear differential equation with delay serving as a mathematical model of several applied problmes is considered. Sufficient conditions for the global asymptotic stability and for the existence of periodic solutions are given. Two particular applications are treated in detail. The first one is a blood cell production model by Mackey, for which new periodicity criteria are derived. The second application is a modified economic model with delay due to Ramsay. An optimization problem for a maximal consumption is stated and solved for the latter.
- Relation
- Eighth Mississippi State - UAB Conference on Differential Equations and Computational Simulations, 2010
- Rights
- Copyright Texas State University
- Rights
- Open Access
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0101 Pure Mathematics
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