Article
Computer Science, Interdisciplinary Applications
Maodong Li, Guanghui Xu, Qiang Lai, Jie Chen
Summary: The paper introduces a chaotic strategy-based quadratic opposition-based learning adaptive variable-speed whale optimization algorithm to address the inadequate convergence accuracy and speed of the whale optimization algorithm. The improved algorithm shows faster convergence speed, higher accuracy, and better ability to escape local optima in extensive tests on benchmark functions and complex engineering optimization problems.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2022)
Article
Mathematics, Applied
Chun-Hui He, Chao Liu, Ji-Huan He, Hamid M. Sedighi, Ali Shokri, Khaled A. Gepreel
Summary: In this study, a fractal heat conduction model is established to investigate the effect of concrete porosity on internal temperature response. The method of separation of variables for fractal differential equations is adopted to solve the problem, and the theoretical result is validated by comparing with experimental data.
APPLIED AND COMPUTATIONAL MATHEMATICS
(2022)
Article
Computer Science, Theory & Methods
Liang Cao, Deyin Yao, Hongyi Li, Wei Meng, Renquan Lu
Summary: This paper investigates the formation control issue of nonlinear multiagent systems with asymmetric input saturation and unmeasured states. A high-gain fuzzy observer is constructed to estimate the unavailable states, and a leader-follower formation control strategy is proposed. Two new dynamic event triggering mechanisms and dynamic rules of threshold parameters are established to reduce the communication between controller and actuator. Furthermore, a modified auxiliary system is developed to counteract the adverse effect of asymmetric input saturation.
FUZZY SETS AND SYSTEMS
(2023)
Article
Mathematics, Applied
Xin-Yi Gao, Yong-Jiang Guo, Wen-Rui Shan
Summary: The article introduces the application of Kadomtsev-Petviashvili-type models in various physical fields and investigates the symbolic computation method for solving similarity reductions of a variable-coefficient modified Kadomtsev-Petviashvili system.
APPLIED MATHEMATICS LETTERS
(2022)
Article
Mathematics, Applied
Marei Saeed Alqarni, Metib Alghamdi, Taseer Muhammad, Ali Saleh Alshomrani, Muhammad Altaf Khan
Summary: A new mathematical model was constructed to analyze the transmission dynamics of COVID-19 in the Kingdom of Saudi Arabia, with sensitivity and control parameters identified. The study suggests control measures that can significantly reduce infections if implemented properly, with stability and sensitivity analysis conducted for better understanding.
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
(2022)
Article
Mathematics, Applied
Bo Zheng, Jia Li, Jianshe Yu
Summary: Preventing and controlling mosquito-borne diseases is a global public health challenge, with the traditional methods of killing mosquitoes through insecticides or breeding site removal proving insufficient. The World Mosquito Program's Wolbachia method has shown promising results in reducing disease transmission. A generalized discrete model was introduced to study the dynamics of Wolbachia infection frequency, covering existing models since 1959, with open questions proposed for further investigation into periodic impulsive releases.
SCIENCE CHINA-MATHEMATICS
(2022)
Article
Automation & Control Systems
Guichao Yang, Jianyong Yao, Zhenle Dong
Summary: This study develops a neuroadaptive learning algorithm for constrained nonlinear systems with disturbance rejection. The algorithm constructs performance prescribed function and time-varying barrier Lyapunov functions to achieve prescribed output performance and time-varying state constraints, respectively. Neural network adaptive control and extended state observers are combined to estimate internal uncertainties and external disturbances on-line and compensate for them feedforwardly.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2022)
Article
Mathematics, Applied
Bo Zheng, Jianshe Yu
Summary: This paper studies a discrete model on Wolbachia infection frequency and proposes a periodic and impulsive release strategy. For specific parameter values, the existence of periodic solutions and the stability of a unique solution for the model are proven.
ADVANCES IN NONLINEAR ANALYSIS
(2022)
Article
Mathematics, Applied
Parvaiz Ahmad Naik, Zohreh Eskandari, Mehmet Yavuz, Jian Zu
Summary: This paper investigates the critical normal form coefficients for the one-parameter and two-parameter bifurcations of a discrete-time Bazykin-Berezovskaya prey-predator model. The complex dynamics of the model are studied theoretically and numerically using MatcotM, and graphical representations are presented to verify the results. The study reveals multiple bifurcations including period-doubling, Neimark-Sacker, and strong resonance bifurcations.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
(2022)
Article
Mathematics, Applied
Nehad Ali Shah, Iftikhar Ahmed, Kanayo K. Asogwa, Azhar Ali Zafar, Wajaree Weera, Ali Akgul
Summary: Chaos, characterized by exponentially growing sensitivity to modest perturbations, is omnipresent in nature and holds potential for various functional purposes in both technological and biological systems. In this study, the time-fractional Caputo and Caputo-Fabrizio fractional derivatives are applied to Chua type nonlinear chaotic systems. A numerical analysis of mathematical models is used to compare the chaotic behavior of systems with integer order differential operators versus fractional order differential operators. The generalization of the classical Chua's circuit in our study can shed light on new aspects of system behavior and the role of memory in the evolution of chaotic generalized circuits.
Article
Mathematical & Computational Biology
Sara Abdelsalam, A. Z. Zaher
Summary: The goal of this research is to investigate the effect of electroosmotic forces on the swimming of sperms in the cervical canal. The results show that using a hyperbolic tangent fluid as the base liquid is more appropriate for simulating and discussing the motility of cervical fluid. The motility of mucus velocity is more applicable to the upper swimming sheet of propulsive spermatozoa with small power law index values, and increases with the electroosmotic parameter and Helmholtz-Smoluchowski velocity.
MATHEMATICAL MODELLING OF NATURAL PHENOMENA
(2022)
Article
Mathematics, Applied
Yu-Lan Ma, Bang-Qing Li
Summary: In this work, the nonlocal Boussinesq equations are investigated and the soliton solutions are derived using the Hirota bilinear method. The multiple solitons are classified into two types based on system parameters, and stripe-like solitons and breathers are obtained. The bifurcation behavior of solitons is found to be nonlinear, with the existence of three-and four-leaf envelopes for the breathers.
APPLIED MATHEMATICS LETTERS
(2022)
Article
Mathematics, Applied
Yanlin Li, Dipen Ganguly, Santu Dey, Arindam Bhattacharyya
Summary: This paper discusses the class of epsilon-Kenmotsu manifolds that have conformal eta-Ricci solitons. It studies the special types of Ricci tensor associated with conformal eta-Ricci solitons on epsilon-Kenmotsu manifolds. Additionally, it investigates curvature conditions that allow for conformal eta-Ricci solitons on epsilon-Kenmotsu manifolds. Furthermore, the paper presents a characterization of the potential function for gradient conformal eta-Ricci solitons. Lastly, an illustrative example is provided to demonstrate the existence of conformal eta-Ricci solitons on eta-Kenmotsu manifolds.
Article
Mathematics, Applied
Pushpendra Kumar, Vedat Suat Erturk
Summary: In this paper, a time delay fractional COVID-19 SEIR epidemic model is solved using a predictor-corrector method. Numerical simulations and graphical plots are used to demonstrate the characteristics of different types of diseases.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2023)
Article
Mathematics, Applied
Zhao Wang, Yaping Mao, Yue Li, Boris Furtula
Summary: A novel topological invariant named the Sombor index was proposed recently, providing a geometric view onto graph edges. The mathematical relationships between the Sombor index and other degree-based descriptors were investigated, leading to some Nordhaus-Gaddum-type results. Computational testing and comparison with other well-established indices were presented.
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING
(2022)
Article
Mathematics, Applied
Shuang Shen, Zhen-Jun Yang, Zhao-Guang Pang, Yan-Rong Ge
Summary: The study presents the complex-valued astigmatic cosine-Gaussian (CVACG) soliton solution of the nonlocal nonlinear Schrodinger equation and discusses its transmission characteristics in highly nonlocal nonlinear optical systems. It is found that CVACG beams can form spatial solitons and breathers with special transverse distribution during the transmission process in highly nonlocal nonlinear optical systems.
APPLIED MATHEMATICS LETTERS
(2022)
Article
Mathematics, Applied
Song Mei, Andrea Montanari
Summary: Deep learning methods defy traditional statistical mindset with rich neural network architectures that achieve small generalization errors on real data. Research shows that the global minimum test error is often found in extreme overparametrization regime, above the interpolation threshold.
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS
(2022)
Article
Mathematics, Applied
Wen-Xiu Ma
Summary: Two nonlocal group reductions were used to generate a class of nonlocal reverse-spacetime integrable mKdV equations from the AKNS matrix spectral problems, leading to soliton solutions through solving corresponding generalized Riemann-Hilbert problems with the identity jump matrix.
JOURNAL OF GEOMETRY AND PHYSICS
(2022)
Article
Mathematics, Applied
Stefano Biagi, Serena Dipierro, Enrico Valdinoci, Eugenio Vecchi
Summary: A systematic study of superpositions of elliptic operators with different orders was conducted, focusing on the sum of the Laplacian and fractional Laplacian. Structural results were provided, including existence, maximum principles for weak and classical solutions, interior Sobolev regularity, and boundary regularity of Lipschitz type.
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
(2022)
Article
Mathematics, Applied
Tapan Senapati
Summary: This article introduces the aggregation strategies of Picture Fuzzy Numbers (PFNs) using Aczel-Alsina operations. The Aczel-Alsina t-norm and t-conorm are extended to PF situations, and several new operations and aggregation operators are developed based on PFNs. The characteristics and relationships of these operators are explored, and an application in multiple attribute decision-making with PF data is presented, along with a comparative analysis.
COMPUTATIONAL & APPLIED MATHEMATICS
(2022)
