Changjin Xu
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View article: From invasion to coexistence: A mathematical modeling approach to predator–prey dynamics under invasive pressure
From invasion to coexistence: A mathematical modeling approach to predator–prey dynamics under invasive pressure Open
View article: Bifurcation mechanism, speed feedback controller, and hybrid controller design in a delayed tumor-immune competitive model
Bifurcation mechanism, speed feedback controller, and hybrid controller design in a delayed tumor-immune competitive model Open
In this study, we formulate a delayed tumor-immune competitive model by incorporating dual time delays into the biological interactions, extending prior modeling frameworks. By employing fixed point theory, inequality techniques, and const…
View article: Hopf bifurcation and controller design for a predator–prey model with double delays
Hopf bifurcation and controller design for a predator–prey model with double delays Open
In recent years, establishing time-delay dynamic models to investigate the intrinsic laws and dynamic behavior among different species has become a popular topic. In this study, we establish a new predator–prey model that includes two time…
View article: Hybrid delayed feedback controller design in a nutrient-microorganism system accompanying time delay
Hybrid delayed feedback controller design in a nutrient-microorganism system accompanying time delay Open
During the past decades, delayed differential dynamical equation has displayed a great application in portraying the interplay of diverse chemical substances in chemistry. In the research, relying on the earlier publications, we propose a …
View article: Hybrid Delayed Feedback Controller Design in a Nutrient-Microorganism System Accompanying Time Delay
Hybrid Delayed Feedback Controller Design in a Nutrient-Microorganism System Accompanying Time Delay Open
During the past decades, delayed differential dynamical equation has displayed a great application in portraying the interplay of diverse chemical substances in chemistry. In the research, relying the earlier publications, we propose a nov…
View article: Dynamical analysis of a fractional-order Cournot–Bertrand duopoly model with time delays
Dynamical analysis of a fractional-order Cournot–Bertrand duopoly model with time delays Open
View article: Quaternary Delayed Cohen-Grossberg Fuzzy Neural Network Synchronization with Non-continuous Activations
Quaternary Delayed Cohen-Grossberg Fuzzy Neural Network Synchronization with Non-continuous Activations Open
View article: Correction to: Bifurcations, chaotic behavior, sensitivity analysis and new optical solitons solutions of Sasa-Satsuma equation
Correction to: Bifurcations, chaotic behavior, sensitivity analysis and new optical solitons solutions of Sasa-Satsuma equation Open
View article: Novel Hopf Bifurcation Exploration and Control Strategies in the Fractional-Order FitzHugh–Nagumo Neural Model Incorporating Delay
Novel Hopf Bifurcation Exploration and Control Strategies in the Fractional-Order FitzHugh–Nagumo Neural Model Incorporating Delay Open
In this article, we propose a new fractional-order delay-coupled FitzHugh–Nagumo neural model. Taking advantage of delay as a bifurcation parameter, we explore the stability and bifurcation of the formulated fractional-order delay-coupled …
View article: Theoretical exploration and controller design of bifurcation in a plankton population dynamical system accompanying delay
Theoretical exploration and controller design of bifurcation in a plankton population dynamical system accompanying delay Open
Formulating suitable dynamical models to describe the interplay of different chemical substance in biology and chemistry is a very interesting topic. In this article, we set up a new plankton population dynamical system accompanying delay.…
View article: Bifurcation Exploration and Controller Design in a Fractional Oxygen–Plankton Model with Delay
Bifurcation Exploration and Controller Design in a Fractional Oxygen–Plankton Model with Delay Open
Fractional-order differential equations have been proved to have great practical application value in characterizing the dynamical peculiarity in biology. In this article, relying on earlier work, we formulate a new fractional oxygen–plank…
View article: The Riemann problem for the Chaplygin gas dynamics with a single-point heating source
The Riemann problem for the Chaplygin gas dynamics with a single-point heating source Open
This paper is devoted to the Riemann solutions to the Chaplygin gas dynamics with a single-point heating source. To deal with Dirac measure source term, we transform this model into a system of conservation laws and then present a definiti…
View article: Mathematical analysis and modeling of fractional order human brain information dynamics including the major effect on sensory memory
Mathematical analysis and modeling of fractional order human brain information dynamics including the major effect on sensory memory Open
In this work, we propose fractional-order deterministic mathematical models for human brain information dynamics, including the major effect on sensory memory. The two models are top-down and bottom-up processing. Mathematical models are a…
View article: Evolutionary Game Analysis of Digital Financial Enterprises and Regulators Based on Delayed Replication Dynamic Equation
Evolutionary Game Analysis of Digital Financial Enterprises and Regulators Based on Delayed Replication Dynamic Equation Open
With the frequent occurrence of financial risks, financial innovation supervision has become an important research issue, and excellent regulatory strategies are of great significance to maintain the stability and sustainable development o…
View article: Bifurcation and controller design in a 3D delayed predator-prey model
Bifurcation and controller design in a 3D delayed predator-prey model Open
Delayed dynamical models demonstrate significant application value in depicting interactions and internal dynamics among different biological populations. Therefore, they have garnered significant interest from numerous scholars in both bi…
View article: Dynamic Exploration and Control of Bifurcation in a Fractional-Order Lengyel-Epstein Model Owing Time Delay
Dynamic Exploration and Control of Bifurcation in a Fractional-Order Lengyel-Epstein Model Owing Time Delay Open
Delayed differential equation plays a vital role in revealing the dynamics of chemical reaction law. In this work, we propose a novel fractional-order Lengyel-Epstein model owing time delay. By regarding the delay as parameter and investig…
View article: Mathematical analysis and modeling of fractional order human brain information dynamics including the major effect on sensory memory
Mathematical analysis and modeling of fractional order human brain information dynamics including the major effect on sensory memory Open
In this work, we propose fractional-order deterministic mathematical models for human brain information dynamics, including the major effect on sensory memory. The two models are top-down and bottom-up processing. Mathematical models are a…
View article: Further study on Hopf bifurcation and hybrid control strategy in BAM neural networks concerning time delay
Further study on Hopf bifurcation and hybrid control strategy in BAM neural networks concerning time delay Open
Delayed dynamical system plays a vital role in describing the dynamical phenomenon of neural networks. In this article, we proposed a class of new BAM neural networks involving time delay. The traits of solution and bifurcation behavior of…
View article: Insights into COVID-19 stochastic modelling with effects of various transmission rates: simulations with real statistical data from UK, Australia, Spain, and India
Insights into COVID-19 stochastic modelling with effects of various transmission rates: simulations with real statistical data from UK, Australia, Spain, and India Open
In the literature [16], the COVID-19 model has been constructed using deterministic approach. The present manuscript examines a stochastic model designed to capture the interplay between COVID-19 and varying infection rates on disease dyna…
View article: Hydrogenolysis of Glycerol by Heterogeneous Catalysis: A Fractional Order Kinetic Model with Analysis
Hydrogenolysis of Glycerol by Heterogeneous Catalysis: A Fractional Order Kinetic Model with Analysis Open
The demand for glycerol, a by-product of biodiesel manufacturing, is anticipated to surpass supply, necessitating efficient conversion techniques for sustainability. The importance of effective conversion techniques is illustrated by the d…
View article: Bifurcation Behavior and Hybrid Controller Design of a 2D Lotka–Volterra Commensal Symbiosis System Accompanying Delay
Bifurcation Behavior and Hybrid Controller Design of a 2D Lotka–Volterra Commensal Symbiosis System Accompanying Delay Open
All the time, differential dynamical models with delay has witness a tremendous application value in characterizing the internal law among diverse biological populations in biology. In the current article, on the basis of the previous publ…
View article: The Riemann problem for pressureless compressible fluid system with time- and space-dependent external force
The Riemann problem for pressureless compressible fluid system with time- and space-dependent external force Open
We concern with Riemann problem for an one-dimensional pressureless compressible fluid system with time- and space-dependent external force. Under the concept of α-solution to this model, we obtain the α-solutions to the Riemann problem an…
View article: Hopf Bifurcation Control of a Fractional-Order Delayed Turbidostat Model via a Novel Extended Hybrid Controller
Hopf Bifurcation Control of a Fractional-Order Delayed Turbidostat Model via a Novel Extended Hybrid Controller Open
Building delayed dynamical models to describe the inherent laws of different chemical matters has become a hot theme in recent years. In this current study, we set up a new fractional-order delayed turbidostat model. By using laplace trans…
View article: Dynamical Transmission and Mathematical Analysis of Ebola Virus Using a Constant Proportional Operator with a Power Law Kernel
Dynamical Transmission and Mathematical Analysis of Ebola Virus Using a Constant Proportional Operator with a Power Law Kernel Open
The Ebola virus continues to be the world’s biggest cause of mortality, especially in developing countries, despite the availability of safe and effective immunization. In this paper, we construct a fractional-order Ebola virus model to ch…
View article: QUALITATIVE AND STABILITY ANALYSIS WITH LYAPUNOV FUNCTION OF EMOTION PANIC SPREADING MODEL INSIGHT OF FRACTIONAL OPERATOR
QUALITATIVE AND STABILITY ANALYSIS WITH LYAPUNOV FUNCTION OF EMOTION PANIC SPREADING MODEL INSIGHT OF FRACTIONAL OPERATOR Open
In an emergency, fear can spread among crowds through one-on-one encounters, with negative societal consequences. The purpose of this research is to create a novel theoretical model of fear (panic) spread in the context of epidemiology dur…
View article: NUMERICAL APPROXIMATION AND ANALYSIS OF EPIDEMIC MODEL WITH CONSTANT PROPORTIONAL CAPUTO OPERATOR
NUMERICAL APPROXIMATION AND ANALYSIS OF EPIDEMIC MODEL WITH CONSTANT PROPORTIONAL CAPUTO OPERATOR Open
The social life, economic issues, and health issues resulting from various diseases will be impacted by the use of the epidemiological model to address the negative effects of drinking in society. The paper aims to investigate a nonlinear …
View article: Review of: "Qualitative Analysis of a Time-Delay Transmission Model for COVID-19 Based on Susceptible Populations With Basic Medical History"
Review of: "Qualitative Analysis of a Time-Delay Transmission Model for COVID-19 Based on Susceptible Populations With Basic Medical History" Open
View article: Bifurcation mechanism and hybrid control strategy of a finance model with delays
Bifurcation mechanism and hybrid control strategy of a finance model with delays Open
Establishing financial models or economic models to describe economic phenomena in real life has become a heated discussion in society at present. From a mathematical point of view, the exploration on dynamics of financial models or econom…
View article: Investigating the Effects of a Fractional Operator on the Evolution of the ENSO Model: Bifurcations, Stability and Numerical Analysis
Investigating the Effects of a Fractional Operator on the Evolution of the ENSO Model: Bifurcations, Stability and Numerical Analysis Open
Recent years have seen an increase in scientific interest in the El Nio/La Nia Southern Oscillation (ENSO), a quasiperiodic climate phenomenon that takes place throughout the tropical Pacific Ocean over five years and causes significant ha…
View article: Novel extended mixed controller design for bifurcation control of fractional‐order Myc/E2F/miR‐17‐92 network model concerning delay
Novel extended mixed controller design for bifurcation control of fractional‐order Myc/E2F/miR‐17‐92 network model concerning delay Open
MiR‐17‐92 has a vital effect on the adjustment of the Myc/E2F protein in chemistry. In this work, we propose a novel fractional‐order delayed Myc/E2F/miR‐17‐92 network model that revels the relation between miR‐17‐92, E2F, and Myc. Taking …