Advances in Delay Differential Equations and Applications
1Changsha University of Science and Technology, Changsha, China
2Southeast University, Nanjing, China
3Wilfrid Laurier University, Waterloo, Canada
4Alagappa University, Karaikudi, India
Advances in Delay Differential Equations and Applications
Description
In recent decades, delay differential equations have attracted increasing attention in the field of nonlinear dynamics and have become a powerful tool for investigating the complexities of real-world problems such as infectious diseases, population dynamics, neuronal networks, and even economics and finance. A delay differential equation is a special type of functional differential equation; its evolution depends on both the current state and historical states.
To date, the analysis of nonlinear dynamics of delay differential equations still faces many new challenges to researchers. When employing delay differential equations to solve practical problems, it is crucial to be able to completely characterize the dynamical properties of the delay differential equations.
This Special Issue aims to gather research works focusing on the development of dynamics of delay differential equations and their applications. We invite authors to submit original research as well as review articles that reveal various dynamical behaviors and applications of delay differential equations.
Potential topics include but are not limited to the following:
- Invariant sets and attractors
- Boundedness analysis multistability, stability, and bifurcation analysis
- Asymptotical analysis and synchronization
- Existence and uniqueness or nonexistence of equilibrium points, periodic solutions, and almost periodic solutions
- Homoclinic orbits and heteroclinic orbits
- Impulsive and stochastic control
- Mathematical biology and population dynamics
- Numerical computation analysis
- Financial networks and risk management
- Economics modeling and computation