This research presents a new fractional-order discrete-time susceptible-infected-recovered
(SIR) epidemic model with vaccination. The dynamical behavior of the suggested model is …

With the rapid growth of data transmission technology, image encryption is becoming a
widely discussed topic in the field of information security. In this paper, we introduce a novel …

Chaotic systems are widely used in designing encryption algorithms for their ideal
dynamical performances. One-dimensional (1D) chaotic maps have the highest efficiency in …

Chaos theory has been widely used in the design of image encryption schemes. Some low-
dimensional chaotic maps have been proved to be easily predictable because of their small …

Modeling and analysis of financial systems have been interesting topics among researchers.
The more precisely we know dynamic of systems, the better we can deal with them. This …

With the continuous development of information technology, ensuring information security
has become an important issue. Image is widely used as a multimedia tool, so this paper …

In this paper, a new one-dimensional discrete-space chaotic map based on the
multiplication of integer numbers and circular shift is presented. Dynamical properties of the …

In this paper, a universal two-dimensional (2D) enhanced cosine coupled model (2D-
ECCM) is first designed, which can construct new 2D chaotic systems using most of the …

In recent years, smart healthcare mode has been gradually maturing with the evolution of
Internet cloud computing technology. However, due to the open and shared features of the …

The fast growth in digital image transmission technologies requires more secure and
effective image encryption schemes to provide essential security. In this paper, we present a …