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学者姓名：乔元华
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Abstract ：
In this paper, a quad-trophic food chain model with Beddington-DeAngelis functional response is formulated by incorporating fear effect and prey refuge. Firstly, it is proved that the system is dissipative. Five types of equilibria are identified, and the criteria for local and global stabilities of the coexistence equilibrium are deduced by Routh-Hurwitz criteria and Li-Muldowney geometric approach. Secondly, multiple bifurcations are explored. It is shown that the system undergoes transcritical bifurcation and pitchfork bifurcation by the Sotomayor's theorem, Hopf Bifurcation by normal form theory, heteroclinic bifurcation and homoclinic bifurcation by stability analysis of manifolds. Moreover, we present numerical experiments to verify the correctness of theoretical analysis. In particular, it is observed that the system undergoes period doubling and period halving cascades, cataclysm, and quasi periodic bifurcation (a torus), thereby entering or escaping chaotic state. It is also observed a saddle-focus homoclinic loop, a period two saddle-focus homoclinic loop, and a period three saddle-focus homoclinic loop for the system. Finally, it is found that fear effect and prey refuge can stabilize the system.
Keyword ：
Quasi-periodicity Quasi-periodicity Period doubling cascades Period doubling cascades Chaos Chaos Bifurcation Bifurcation Global stability Global stability
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| GB/T 7714 | Shang, Zuchong , Qiao, Yuanhua . Complex Dynamics of a Quad-Trophic Food Chain Model with Beddington-DeAngelis Functional Response, Fear Effect and Prey Refuge [J]. | QUALITATIVE THEORY OF DYNAMICAL SYSTEMS , 2025 , 24 (1) . |
| MLA | Shang, Zuchong 等. "Complex Dynamics of a Quad-Trophic Food Chain Model with Beddington-DeAngelis Functional Response, Fear Effect and Prey Refuge" . | QUALITATIVE THEORY OF DYNAMICAL SYSTEMS 24 . 1 (2025) . |
| APA | Shang, Zuchong , Qiao, Yuanhua . Complex Dynamics of a Quad-Trophic Food Chain Model with Beddington-DeAngelis Functional Response, Fear Effect and Prey Refuge . | QUALITATIVE THEORY OF DYNAMICAL SYSTEMS , 2025 , 24 (1) . |
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Abstract ：
Exponential synchronization for a class of delayed discontinuous complex-valued neural networks (CVNNs) with leakage delay and diffusion effects is investigated in this paper. First, CVNNs are separated into real and imaginary parts, an equivalent real-valued subsystems are obtained for the analysis. Then, some novel and flexible algebraic criteria are established to ensure the exponential synchronization of the discontinuous CVNNs by designing feedback and adaptive control, which improves the control performance, and the control parameters are adjusted automatically. Compared with the previous research, the proposed neural network models are more practical and realistic, and the obtained results take into account the impacts brought by reaction diffusion, discontinuity activations, leakage delay and complex values simultaneously, and the research enrich the previously analysis. Finally, a numerical simulation is presented to verify the effectiveness and applicability of the developed theoretical results.
Keyword ：
Reaction-diffusion Reaction-diffusion Exponential synchronization Exponential synchronization Leakage delay Leakage delay Complex-valued neural network Complex-valued neural network
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| GB/T 7714 | Qian, Yinjie , Qiao, Yuanhua . Global exponential synchronization of delayed reaction-diffusion complex-valued neural networks with leakage term and discontinuous activations [J]. | COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION , 2025 , 145 . |
| MLA | Qian, Yinjie 等. "Global exponential synchronization of delayed reaction-diffusion complex-valued neural networks with leakage term and discontinuous activations" . | COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION 145 (2025) . |
| APA | Qian, Yinjie , Qiao, Yuanhua . Global exponential synchronization of delayed reaction-diffusion complex-valued neural networks with leakage term and discontinuous activations . | COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION , 2025 , 145 . |
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Abstract ：
In this paper, rich dynamics and complex bifurcations of an SIR epidemic model with saturated incidence rate and strong Allee effect are investigated. First, the existence of disease-free and endemic equilibria is explored, and we prove that the system has at most three positive equilibria, which exhibit different types such as hyperbolic saddle and node, degenerate unstable saddle (node) of codimension 2, degenerate saddle-node of codimension 3 at disease-free equilibria, and cusp, focus, and elliptic types Bogdanov-Takens singularities of codimension 3 at endemic equilibria. Second, bifurcation analysis at these equilibria are investigated, and it is found that the system undergoes a series of bifurcations, including transcritical, saddle node, Hopf, degenerate Hopf, homoclinic, cusp type Bogdanov-Takens of codimensional 2, and focus and elliptic type Bogdanov-Takens bifurcation of codimension 3 which are composed of some bifurcations with lower codimension. The system shows very rich dynamics such as the coexistence of multiple periodic orbits and homoclinic loops. Finally, numerical simulations are conducted on the theoretical results.
Keyword ：
Saddle-node Bifurcation Saddle-node Bifurcation Degenerate Hopf Bifurcation Degenerate Hopf Bifurcation Bogdanov-Takens Bifurcation Bogdanov-Takens Bifurcation Transcritical Bifurcation Transcritical Bifurcation SIR Epidemic Model SIR Epidemic Model
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| GB/T 7714 | Zhang, Jiajia , Qiao, Yuanhua . BIFURCATION ANALYSIS OF AN SIR MODEL WITH SATURATED INCIDENCE RATE AND STRONG ALLEE EFFECT [J]. | JOURNAL OF BIOLOGICAL SYSTEMS , 2024 , 32 (01) : 1-36 . |
| MLA | Zhang, Jiajia 等. "BIFURCATION ANALYSIS OF AN SIR MODEL WITH SATURATED INCIDENCE RATE AND STRONG ALLEE EFFECT" . | JOURNAL OF BIOLOGICAL SYSTEMS 32 . 01 (2024) : 1-36 . |
| APA | Zhang, Jiajia , Qiao, Yuanhua . BIFURCATION ANALYSIS OF AN SIR MODEL WITH SATURATED INCIDENCE RATE AND STRONG ALLEE EFFECT . | JOURNAL OF BIOLOGICAL SYSTEMS , 2024 , 32 (01) , 1-36 . |
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Abstract ：
A model of impulsive octonion-valued fuzzy inertial neural networks (OVFINNs) with time-varying delays is established, and fixed-time (FXT) synchronization is investigated by using direct octonion approach. First, a new FXT stability lemma of impulsive systems is presented and the upper bound of settling time is estimated by using the average impulsive interval and comparison principle. Second, two inequalities on fuzzy logic are developed in the field of octonion. Third, novel lemmas are introduced based on octonion-valued norm and sign function to overcome the non associative and non commutative laws of octonion multiplication. Furthermore, two new nonlinear octonion-valued controllers are directly designed to induce the FXT synchronization. Then, according to the improving FXT stability lemma and designed controllers, some novel sufficient conditions are given to ensure FXT synchronization of OVFINNs. Finally, two numerical simulations are given to demonstrate the correctness of the theoretical results and the effectiveness of FXT synchronization in secure communication.
Keyword ：
octonion-valued neural networks (OVNNs) octonion-valued neural networks (OVNNs) Biological neural networks Biological neural networks Artificial neural networks Artificial neural networks Quaternions Quaternions FXT synchronization FXT synchronization Fixed-time (FXT) stability Fixed-time (FXT) stability Stability criteria Stability criteria Synchronization Synchronization Numerical stability Numerical stability impulsive systems impulsive systems Neurons Neurons
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| GB/T 7714 | Zhao, Ningning , Qiao, Yuanhua , Miao, Jun et al. Fixed-Time Synchronization of Impulsive Octonion-Valued Fuzzy Inertial Neural Networks via Improving Fixed-Time Stability [J]. | IEEE TRANSACTIONS ON FUZZY SYSTEMS , 2024 , 32 (4) : 1978-1990 . |
| MLA | Zhao, Ningning et al. "Fixed-Time Synchronization of Impulsive Octonion-Valued Fuzzy Inertial Neural Networks via Improving Fixed-Time Stability" . | IEEE TRANSACTIONS ON FUZZY SYSTEMS 32 . 4 (2024) : 1978-1990 . |
| APA | Zhao, Ningning , Qiao, Yuanhua , Miao, Jun , Duan, Lijuan . Fixed-Time Synchronization of Impulsive Octonion-Valued Fuzzy Inertial Neural Networks via Improving Fixed-Time Stability . | IEEE TRANSACTIONS ON FUZZY SYSTEMS , 2024 , 32 (4) , 1978-1990 . |
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Abstract ：
In this paper, a modified Leslie-type predator-prey system with Holling-type III functional response is formulated to investigate the dynamics in the presence of special Allee effect induced by fear factors. First, we calculate the first three focal values by the method of successor function to ensure that the system has an unstable weak focus of multiplicity 3. A focus- or center-type degenerate Bogdanov-Takens singularity of codimension 3 and a weak focus of multiplicity 1 or 2 together with a cusp of codimension 2 are derived for the system. Then multiple bifurcations are explored. It is shown that the system undergoes Hopf bifurcation of codimension 3 and hence three limit cycles are generated. There exists another large stable limit cycle enclosing these three limit cycles by Poincar & eacute;-Bendixson theorem. We demonstrate that a degenerate focus-type Bogdanov-Takens bifurcation of codimension 3 can occur by calculating the universal unfolding. It is also shown that a subcritical, supercritical or degenerate Hopf bifurcation occurs together with a Bogdanov-Takens bifurcation. Finally, numerical simulations are used to support the theoretical results. The analysis results reveal that the special Allee effect is beneficial for the persistence and diversity of ecosystem.
Keyword ：
degenerate Hopf bifurcation of codimension 3 degenerate Hopf bifurcation of codimension 3 Predator-prey model Predator-prey model limit cycles limit cycles special Allee effect special Allee effect degenerate focus-type Bogdanov-Takens bifurcation of codimension 3 degenerate focus-type Bogdanov-Takens bifurcation of codimension 3
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| GB/T 7714 | Shang, Zuchong , Qiao, Yuanhua . Bifurcation analysis in a modified Leslie-type predator-prey system with Holling-type III functional response and special Allee effect induced by fear factors [J]. | INTERNATIONAL JOURNAL OF BIOMATHEMATICS , 2024 . |
| MLA | Shang, Zuchong et al. "Bifurcation analysis in a modified Leslie-type predator-prey system with Holling-type III functional response and special Allee effect induced by fear factors" . | INTERNATIONAL JOURNAL OF BIOMATHEMATICS (2024) . |
| APA | Shang, Zuchong , Qiao, Yuanhua . Bifurcation analysis in a modified Leslie-type predator-prey system with Holling-type III functional response and special Allee effect induced by fear factors . | INTERNATIONAL JOURNAL OF BIOMATHEMATICS , 2024 . |
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Abstract ：
In this paper, we investigate a simplified Holling IV type predator-prey model with weak Allee effect on prey and anti-predator behavior. First, the existence and stability of all possible equilibria are analyzed, which suggests the changing trend of the predator-prey system under different initial values. Second, bifurcation analysis at the equilibria are performed to explore the dynamic behavior of the system while the parameters pass the critical values, which reveals the influence of the death rate, anti-predator behavior and weak Allee effect on the system. It is found that the system undergoes saddle-node bifurcation, cusp type Bogdanov-Takens bifurcation of codimension 2 and 3, and Hopf bifurcation, forming the organizing center of a series of codimensional bifurcations. The bifurcations indicate the change of the final state and the occurrence of oscillations of the predator-prey system under different parameters. Finally, the theoretical results are confirmed by numerical simulations.
Keyword ：
Anti-Predator Behavior Anti-Predator Behavior Simplified Holling IV Type Simplified Holling IV Type Bogdanov-Takens Bifurcation Bogdanov-Takens Bifurcation Hopf Bifurcation Hopf Bifurcation Weak Allee Effect Weak Allee Effect
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| GB/T 7714 | Pang, Xiaoli , Qiao, Yuanhua . DYNAMICS OF A SIMPLIFIED HOLLING IV TYPE PREDATOR-PREY SYSTEM WITH WEAK ALLEE EFFECT ON PREY AND ANTI-PREDATOR BEHAVIOR [J]. | JOURNAL OF BIOLOGICAL SYSTEMS , 2024 , 33 (01) : 195-220 . |
| MLA | Pang, Xiaoli et al. "DYNAMICS OF A SIMPLIFIED HOLLING IV TYPE PREDATOR-PREY SYSTEM WITH WEAK ALLEE EFFECT ON PREY AND ANTI-PREDATOR BEHAVIOR" . | JOURNAL OF BIOLOGICAL SYSTEMS 33 . 01 (2024) : 195-220 . |
| APA | Pang, Xiaoli , Qiao, Yuanhua . DYNAMICS OF A SIMPLIFIED HOLLING IV TYPE PREDATOR-PREY SYSTEM WITH WEAK ALLEE EFFECT ON PREY AND ANTI-PREDATOR BEHAVIOR . | JOURNAL OF BIOLOGICAL SYSTEMS , 2024 , 33 (01) , 195-220 . |
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Abstract ：
In this paper, a modified Leslie-type predator-prey model with simplified Holling type IV functional response is established, in which double Allee effect on prey and nonlinear prey harvesting are considered. The analysis of the model shows that there exists a Bogdanov-Takens singularity (focus case) of codimension 4, and also multiple other nonhyperbolic and degenerate equilibria. Bifurcations are explored and it is found that transcritical bifurcation, saddle-node bifurcation, Bogdanov-Takens bifurcation of codimension 2, degenerate cusp type Bogdanov-Takens bifurcation of codimension 3, and degenerate focus type Bogdanov-Takens bifurcation of codimension 4 occur as parameters vary. The bifurcations result in complex dynamic behaviors, such as double limit cycle, triple limit cycle, quadruple limit cycle, cuspidal loop, (multiple) homoclinic loop, saddle-node loop, and limit cycle(s) simultaneously with homoclinic loop. We run numerical simulations to verify the theoretical results, and it is found that the system admits bistability, tristability, or even tetrastability.(c) 2022 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.
Keyword ：
Predator-prey model Predator-prey model Degenerate focus type Bogdanov-Takens bifurcation of codimension 4 Degenerate focus type Bogdanov-Takens bifurcation of codimension 4 Nonlinear harvesting Nonlinear harvesting Double Allee effect Double Allee effect
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| GB/T 7714 | Shang, Zuchong , Qiao, Yuanhua . Multiple bifurcations in a predator-prey system of modified Holling and Leslie type with double Allee effect and nonlinear harvesting [J]. | MATHEMATICS AND COMPUTERS IN SIMULATION , 2023 , 205 : 745-764 . |
| MLA | Shang, Zuchong et al. "Multiple bifurcations in a predator-prey system of modified Holling and Leslie type with double Allee effect and nonlinear harvesting" . | MATHEMATICS AND COMPUTERS IN SIMULATION 205 (2023) : 745-764 . |
| APA | Shang, Zuchong , Qiao, Yuanhua . Multiple bifurcations in a predator-prey system of modified Holling and Leslie type with double Allee effect and nonlinear harvesting . | MATHEMATICS AND COMPUTERS IN SIMULATION , 2023 , 205 , 745-764 . |
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Abstract ：
Traditional biological neural networks cannot simulate the real situation of the abrupt synaptic connections between neurons while modeling associative memory of human brains. In this paper, the memristive multidirectional associative memory neural networks (MAMNNs) with mixed time-varying delays are investigated in the sense of Filippov solution. First, three steps are given to prove the existence of the almost periodic solution. Two new lemmas are proposed to prove the boundness of the solution and the asymptotical almost periodicity of the solution by constructing Lyapunov function. Second, the uniqueness and global exponential stability of the almost periodic solution of memristive MAMNNs are investigated by a new Lyapunov function. The sufficient conditions guaranteeing the properties of almost periodic solution are derived based on the relevant definitions, Halanay inequality and Lyapunov function. The investigation is an extension of the research on the periodic solution and almost periodic solution of bidirectional associative memory neural networks. Finally, numerical examples with simulations are presented to show the validity of the main results.
Keyword ：
memristive multidirectional associative memory memristive multidirectional associative memory Almost periodic solutions Almost periodic solutions mixed time-varying delays mixed time-varying delays global exponential stability global exponential stability neural networks neural networks
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| GB/T 7714 | Zhang, Yan , Qiao, Yuanhua , Duan, Lijuan . Almost periodic solutions of memristive multidirectional associative memory neural networks with mixed time delays [J]. | INTERNATIONAL JOURNAL OF BIOMATHEMATICS , 2023 , 17 (02) . |
| MLA | Zhang, Yan et al. "Almost periodic solutions of memristive multidirectional associative memory neural networks with mixed time delays" . | INTERNATIONAL JOURNAL OF BIOMATHEMATICS 17 . 02 (2023) . |
| APA | Zhang, Yan , Qiao, Yuanhua , Duan, Lijuan . Almost periodic solutions of memristive multidirectional associative memory neural networks with mixed time delays . | INTERNATIONAL JOURNAL OF BIOMATHEMATICS , 2023 , 17 (02) . |
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Abstract ：
In this paper, in order to obtain a smaller estimation of settling time, reduce chattering caused by sign function and improve network communication efficiency, the fixed-time (FXT) synchronization of delayed BAM neural networks is analyzed based on some new FXT stability results and non-chattering quantized controllers. Firstly, by comprehensively discussing the conditions of power laws in differential inequalities, a new FXT stability lemma is presented and a smaller upper bound of settling time is estimated. Then, unlike previous controllers with sign functions, a non-chattering quantized state feedback control and a non-chattering quantized pinning control are designed, and some sufficient conditions are derived to ensure FXT synchronization of the established system. Finally, two numerical simulations are given to verify the effectiveness of the theoretical results. The results show that compared with the previous researches, this paper provides a smaller upper bound. However, the convergence time of the uncontrolled nodes is indirectly affected by the coupling of the controlled nodes and is much longer than the estimated upper bound. & COPY; 2023 The Franklin Institute. Published by Elsevier Inc. All rights reserved.
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| GB/T 7714 | Yan, Hongyun , Qiao, Yuanhua , Miao, Jun et al. Fixed-time synchronization of delayed BAM neural networks via new fixed-time stability results and non-chattering quantized controls [J]. | JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS , 2023 , 360 (13) : 10251-10274 . |
| MLA | Yan, Hongyun et al. "Fixed-time synchronization of delayed BAM neural networks via new fixed-time stability results and non-chattering quantized controls" . | JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS 360 . 13 (2023) : 10251-10274 . |
| APA | Yan, Hongyun , Qiao, Yuanhua , Miao, Jun , Ren, Zhihua , Duan, Lijuan . Fixed-time synchronization of delayed BAM neural networks via new fixed-time stability results and non-chattering quantized controls . | JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS , 2023 , 360 (13) , 10251-10274 . |
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Abstract ：
Ground-glass nodules (GGN) are the main manifestation of early lung cancer, and accurate and efficient identification of ground-glass pulmonary nodules is of great significance for the treatment of lung diseases. In response to the problem of traditional machine learning requiring manual feature extraction, and most deep learning models applied to 2D image classification, this paper proposes a Transformer-based recognition model for ground-glass nodules from the view of global 3D asymmetry feature representation. Firstly, a 3D convolutional neural network is used as the backbone to extract the features of the three-dimensional CT-image block of pulmonary nodules automatically; secondly, positional encoding information is added to the extracted feature map and input into the Transformer encoder layer for further extraction of global 3D asymmetry features, which can preserve more spatial information and obtain higher-order asymmetry feature representation; finally, the extracted asymmetry features are entered into a support vector machine or ELM-KNN model to further improve the recognition ability of the model. The experimental results show that the recognition accuracy of the proposed method reaches 95.89%, which is 4.79, 2.05, 4.11, and 2.74 percentage points higher than the common deep learning models of AlexNet, DenseNet121, GoogLeNet, and VGG19, respectively; compared with the latest models proposed in the field of pulmonary nodule classification, the accuracy has been improved by 2.05, 2.05, and 0.68 percentage points, respectively, which can effectively improve the recognition accuracy of ground-glass nodules.
Keyword ：
transformer transformer ELM-KNN ELM-KNN support vector machine support vector machine 3D ResNet 3D ResNet ground-glass nodules ground-glass nodules
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| GB/T 7714 | Miao, Jun , Zhang, Maoxuan , Chang, Yiru et al. Transformer-Based Recognition Model for Ground-Glass Nodules from the View of Global 3D Asymmetry Feature Representation [J]. | SYMMETRY-BASEL , 2023 , 15 (12) . |
| MLA | Miao, Jun et al. "Transformer-Based Recognition Model for Ground-Glass Nodules from the View of Global 3D Asymmetry Feature Representation" . | SYMMETRY-BASEL 15 . 12 (2023) . |
| APA | Miao, Jun , Zhang, Maoxuan , Chang, Yiru , Qiao, Yuanhua . Transformer-Based Recognition Model for Ground-Glass Nodules from the View of Global 3D Asymmetry Feature Representation . | SYMMETRY-BASEL , 2023 , 15 (12) . |
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