"Delay Differential Equations" emphasizes the global analysis of full nonlinear equations or systems. The book treats both autonomous and nonautonomous systems with various delays. Key topics addressed are the possible delay influence on the dynamics of the system, such as stability switching as time delay increases, the long time coexistence of populations and the oscillatory aspects of the dynamics. The book also includes coverage of the interplay of spatial diffusion and time delays in some diffusive delay population models. The treatment presented in this monograph should be of value in the study of various classes of DDEs and their multidisciplinary applications.
Delay Differential Equations: Introduction. Basic Theory of Delay
Differential Equations. Characteristic Equations. Applications in
Population Dynamics: Global Stability for Single Species Models. Periodic
Solutions, Chaos, Stage Structures, And State Dependent Delays in Single
Species Models. Global Stability for Multi-Species Models. Periodic
Solutions in Multi-Species Models. Permanence. Neutral Delay Models.
References. Appendix. Index.
