A time-delayed SIR model with general nonlinear incidence rate, pulse vaccination and
temporary immunity is developed. The basic reproduction number is derived and it is shown …

Previous studies have been dedicated to strategies for combating malware propagation in
data networks. One method to combat these deleterious actions is to establish preventive …

Impulsive dynamical systems have become increasingly popular during the past decades
because they provide a natural framework for mathematical modeling of many real-world …

We consider a logistic differential equation subject to impulsive delayed harvesting, where
the deduction information is a function of the population size at the time of one of the …

Multi-body interaction has been proved to exist widely in the real world. To verify the
influence of multi-body interactive feedback on the dynamics of system, a novel adaptive …

In this paper, we prove the existence of a periodic smooth finite-dimensional center manifold
near a nonhyperbolic cycle in classical delay differential equations by using the Lyapunov …

In this paper, we are concerned with the existence, nonexistence, and multiplicity of positive
solutions for a impulsive periodic boundary value problem with positive parameter λ λ. Using …

A recent work [1] by the authors on the existence of a periodic smooth finite-dimensional
center manifold near a nonhyperbolic cycle in delay differential equations motivates the …

A novel technique of robust stabilization and bifurcation suppression is proposed. The
proposed method, the center probe method, stabilizes an equilibrium point of a delay …

We develop validated numerical methods for the computation of Floquet multipliers of
equilibria and periodic solutions of delay differential equations, as well as impulsive delay …