How populations distribute in both space and time is one of the key issues in ecological
systems, which can characterize the relationship between populations, space–time structure …

In this paper, we investigate a reaction–diffusion–advection model with time delay effect.
The stability/instability of the spatially nonhomogeneous positive steady state and the …

Turing patterns for explaining spatial distribution in nature mostly focus on continuous media
and existing networks, but only few attempts exist to study them on systems with high-order …

Reaction-diffusion (RD) systems with time delays have been commonly used in modeling
biological systems and can significantly change the dynamics of these systems. For predator …

Time delays have been commonly used in modeling biological systems and can significantly
change the dynamics of these systems. Quite a few works have been focused on analyzing …

A network is introduced to describe the spatiotemporal dynamics of two-species competitive
and allelopathic plankton models, where the network structure represents the movement …

In this paper, we show the impact of both network and time delays on Turing instability and
demarcate the role of diffusion in the epidemic. The stability and bifurcation of equilibrium …

In this paper, we focus on a network system which describes spatiotemporal dynamics of
single species population at different patches since species can have different features in …

Time-delayed feedback is a practical method for controlling various nonlinear dynamical
systems. We consider its influence on the dynamics of a multicycle van der Pol oscillator that …

The distribution of the roots of a second order transcendental polynomial is analyzed, and it
is used for solving the purely imaginary eigenvalue of a transcendental characteristic …