Article
Mathematics
Mingzhan Huang, Shouzong Liu, Xinyu Song, Xiufen Zou
Summary: This paper studies the stochastic nature of tumor growth under immune response and periodically pulsed chemotherapy. A stochastic impulsive model is established and conditions for tumor cell extinction, non-persistence in the mean, weak and strong persistence in the mean are obtained. Numerical simulations verify the theoretical results and reveal the impact of noise intensity and drug delivery on tumor cell growth.
ACTA MATHEMATICA SCIENTIA
(2022)
Article
Computer Science, Interdisciplinary Applications
Huan Yang, Yuanshun Tan, Jin Yang, Zijian Liu
Summary: This paper investigates a tumor-immune system with impulse comprehensive therapy and stochastic perturbation. It proves the existence and uniqueness of global positive solution of the system, and shows through numerical simulations that random disturbance can inhibit the growth of tumor cells, while the combination of chemotherapy and immunotherapy can reduce the damage to healthy cells.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2021)
Article
Materials Science, Multidisciplinary
Amine El Koufi, Abdelkrim Bennar, Nouhaila El Koufi, Noura Yousfi
Summary: In this paper, a stochastic SIQR model is proposed to study the impact of Levy jumps and Beddington-DeAngelis incidence rate on disease transmission. The theoretical results are illustrated through numerical simulations, indicating that white and Levy noises influence the transmission dynamics of the system.
RESULTS IN PHYSICS
(2021)
Article
Engineering, Multidisciplinary
Abdulwasea Alkhazzan, Jungang Wang, Yufeng Nie, Hasib Khan, Jehad Alzabut
Summary: This research develops and analyzes a new Susceptible-Infected-Recovered Susceptible (SIRS) model that considers transport-related infection, media coverage, and three types of noise to examine the role of transport in disease transmission. The model's global solution is checked using Lyapunov functions, and it is found that the infection either dies out or stays put beyond a certain point. The analytical results are validated through numerical analysis and simulation of various factors' effects on the model's dynamics.
ALEXANDRIA ENGINEERING JOURNAL
(2023)
Article
Mathematics, Applied
Ning Wei, Mei Li
Summary: This paper considers a non-autonomous stochastic Holling II predator-prey model with a complex type of noises. By constructing a Lyapunov function and applying the dominated convergence theorem, stochastically permanent is proved. More importantly, two values lambda(1), lambda(2) are expressed using the density function of the Falk Planck equation and some parameters in the system. Among them, lambda(1) > 0 is proved to be the sufficient condition for the persistence in mean. Then, applying the strong law of large numbers and exponential martingale inequality, two necessary lemmas are introduced. Furthermore, utilizing the lemmas and lambda(2) < 0, the sufficient conditions for extinction of the system are obtained. Actually, the two sufficiency conditions obtained are close to the necessary conditions. Finally, some numerical simulations are carried out to verify the influence of the complex type of noises on the system.
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION
(2022)
Article
Computer Science, Interdisciplinary Applications
A. Rathinasamy, M. Chinnadurai, S. Athithan
Summary: The study investigates a stochastic sex-structured HIV/AIDS epidemic model with screening of infectives, showing that the model has a unique global positive solution with boundedness and permanence. Suitable Lyapunov functions are selected for investigating persistence and extinction of the disease, which is verified through numerical experiments.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2021)
Article
Automation & Control Systems
Parthasakha Das, Prokash Mondal, Pritha Das, Tapan Kumar Roy
Summary: This article studies the noise-induced dynamics of the tumor-immune system and establishes the positivity and boundedness of the solution in a stochastic system. Numerical simulations are performed to validate the theoretical findings.
INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL
(2022)
Article
Materials Science, Multidisciplinary
Anwarud Din, Yongjin Li
Summary: This paper investigates the dynamical behavior of a stochastic model for drinking evolution, which consists of three compartments - susceptible population S, risk drinkers R, and moderate drinkers M. The study constructs and analyzes a Lyapunov function, examines the feasibility and positivity of the model's solution, and derives conditions for extinction and persistence through the Lyapunov function. The proposed model is tested using the RK4 method, showing strong convergence to the stochastic solution in both deterministic and stochastic simulations.
RESULTS IN PHYSICS
(2021)
Article
Mathematics, Applied
Jingnan Wang, Huadi Wang
Summary: By establishing a stochastic tumor-immune model, this study proves the existence of a globally unique positive solution and obtains the conditions for the extinction and weak persistence of tumor cells and T cells. Numerical simulations demonstrate that different noise intensities lead to different states of the immune system, which is important for preventing and controlling tumor deterioration.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2021)
Review
Engineering, Biomedical
Wenxuan Du, Praful Nair, Adrian Johnston, Pei-Hsun Wu, Denis Wirtz
Summary: Cell migration is a crucial process that regulates human organ development, disease progression and cancer metastasis. The migration of immune and tumor cells is closely associated with immune cell infiltration, immune escape, and tumor cell spread in cancer. Understanding the reciprocal regulation of immune and cancer cell migration mediated by soluble factors can provide valuable insights for the development of biomarkers and treatments for cancer.
ANNUAL REVIEW OF BIOMEDICAL ENGINEERING
(2022)
Article
Mathematics, Applied
Hong Qiu, Yanzhang Huo
Summary: This paper examines a stochastic AIDS model driven by Levy jumps and determines the conditions for persistence and extinction. It also demonstrates through numerical simulations that reducing the transmission coefficient beta(i) can decrease the risk of disease transmission.
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING
(2022)
Article
Engineering, Multidisciplinary
Lin Chen, Jin Yang, Yuanshun Tan, Zijian Liu, Robert A. Cheke
Summary: This paper utilizes impulsive differential equations to describe the combinations of a dendritic cell vaccine and intermittent androgen therapy for treating prostate cancer, and investigates the solutions, threshold conditions, and stationary distribution of the system.
APPLIED MATHEMATICAL MODELLING
(2023)
Article
Mathematical & Computational Biology
Ei Ei Kyaw, Hongchan Zheng, Jingjing Wang, Htoo Kyaw Hlaing
Summary: This study examines a phage therapy model involving nonlinear interactions of bacteria-phage-innate immune response. It analyzes the system's positivity, boundedness, existence and stability of equilibrium solutions, global stability, and persistence under certain conditions. Numerical simulations are conducted to validate the findings of the research.
MATHEMATICAL BIOSCIENCES AND ENGINEERING
(2021)
Article
Physics, Mathematical
Mahmoud B. A. Mansour
Summary: In this paper, a stochastic model of bacterial population growth with antimicrobial resistance under random fluctuations is considered. The model is analyzed for the persistence and extinction of bacterial cells. Results show asymptotic extinction and conditional persistence for population growth. Computer simulations are performed to illustrate the model behavior. The model findings have important implications for eradicating bacterial cells and the emergence of resistance.
JOURNAL OF STATISTICAL PHYSICS
(2023)
Article
Mathematics, Applied
Weili Liu, Hongpeng Zhang, Weipeng Zhang, Xuenan Sun
Summary: This paper explores the stochastic behaviors of the interaction between tumor cells and immune cells when vitamins are added, and analyzes the characteristics of the solutions through theoretical analysis and numerical simulations.
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION
(2023)
Article
Mathematics, Applied
Meng Liu, Jingyi Yu, Partha Sarathi Mandal
APPLIED MATHEMATICS AND COMPUTATION
(2018)
Article
Engineering, Mechanical
Meng Liu
NONLINEAR DYNAMICS
(2019)
Article
Physics, Multidisciplinary
Hui Wang, Fangmei Pan, Meng Liu
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2019)
Article
Mathematics, Applied
Meng Liu, Meiling Deng
APPLIED MATHEMATICS LETTERS
(2019)
Article
Physics, Multidisciplinary
Weiming Ji, Meng Liu
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2019)
Article
Mathematics, Applied
Meng Liu, Meiling Deng
APPLIED MATHEMATICS AND COMPUTATION
(2020)
Article
Mathematics, Applied
Hui Wang, Meng Liu
APPLIED MATHEMATICS LETTERS
(2020)
Article
Biology
Da Song, Meng Fan, Shihan Yan, Meng Liu
JOURNAL OF THEORETICAL BIOLOGY
(2020)
Article
Mathematics, Applied
Meng Liu, Chuanzhi Bai
APPLIED MATHEMATICS AND COMPUTATION
(2020)
Article
Mathematics, Applied
Dengxia Zhou, Meng Liu, Zhijun Liu
ADVANCES IN DIFFERENCE EQUATIONS
(2020)
Article
Mathematics, Applied
Weiming Ji, Yuqian Zhang, Meng Liu
Summary: This article discusses a stochastic differential equation describing the evolution of a species in the presence of Allee effects. By using the Feller boundary classification criteria, it is shown that the model has a unique dynamical bifurcation point increment with stability properties. The theoretical findings are applied to investigate the living situation of Painted Hunting Dogs in Africa.
APPLIED MATHEMATICS LETTERS
(2021)
Article
Mathematics, Applied
Weiming Ji, Meng Liu
ADVANCES IN DIFFERENCE EQUATIONS
(2020)
Article
Mathematics, Interdisciplinary Applications
Zhaojuan Wang, Meiling Deng, Meng Liu
Summary: This article investigates a stochastic ratio-dependent predator-prey model with regime-switching, showing that the model has a unique stationary distribution and the transition probability of the solution converges to the stationary distribution at an exponential rate. The biological implications of the results are discussed through numerical simulations.
CHAOS SOLITONS & FRACTALS
(2021)
Article
Computer Science, Interdisciplinary Applications
Dagen Li, Meng Liu
MATHEMATICS AND COMPUTERS IN SIMULATION
(2020)
Article
Engineering, Multidisciplinary
A. A. Aganin, A. I. Davletshin
Summary: A mathematical model of interaction of weakly non-spherical gas bubbles in liquid is proposed in this paper. The model equations are more accurate and compact compared to existing analogs. Five problems are considered for validation, and the results show good agreement with experimental data and numerical solutions. The model is also used to analyze the behavior of bubbles in different clusters, providing meaningful insights.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Hao Wu, Jie Sun, Wen Peng, Lei Jin, Dianhua Zhang
Summary: This study establishes an analytical model for the coupling of temperature, deformation, and residual stress to explore the mechanism of residual stress formation in hot-rolled strip and how to control it. The accuracy of the model is verified by comparing it with a finite element model, and a method to calculate the critical exit crown ratio to maintain strip flatness is proposed.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Shengwen Tu, Naoki Morita, Tsutomu Fukui, Kazuki Shibanuma
Summary: This study aimed to extend the finite element method to cope with elastic-plastic problems by introducing the s-version FEM. The s-version FEM, which overlays a set of local mesh with fine element size on the conventional FE mesh, simplifies domain discretisation and provides accurate numerical predictions. Previous applications of the s-version FEM were limited to elastic problems, lacking instructions for stress update in plasticity. This study presents detailed instructions and formulations for addressing plasticity problems with the s-version FEM and analyzes a stress concentration problem with linear/nonlinear material properties.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Bo Fan, Zhongmin Wang
Summary: A 3D rotating hyperelastic composite REF model was proposed to analyze the influence of tread structure and rotating angular speed on the vibration characteristics of radial tire. Nonlinear dynamic differential equations and modal equations were established to study the effects of internal pressure, tread pressure sharing ratio, belt structure, and rotating angular speed on the vibration characteristics.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
X. W. Chen, Z. Q. Yue, Wendal Victor Yue
Summary: This paper examines the axisymmetric problem of a flat mixed-mode annular crack near and parallel to an arbitrarily graded interface in functionally graded materials (FGMs). The crack is modeled as plane circular dislocation loop and an efficient solution for dislocation in FGMs is used to calculate the stress field at the crack plane. The analytical solutions of the stress intensity factors are obtained and numerical study is conducted to investigate the fracture mechanics of annular crack in FGMs.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Xumin Guo, Jianfei Gu, Hui Li, Kaihua Sun, Xin Wang, Bingjie Zhang, Rangwei Zhang, Dongwu Gao, Junzhe Lin, Bo Wang, Zhong Luo, Wei Sun, Hui Ma
Summary: In this study, a novel approach combining the transfer matrix method and lumped parameter method is proposed to analyze the vibration response of aero-engine pipelines under base harmonic and random excitations. The characteristics of the pipelines are investigated through simulation and experiments, validating the effectiveness of the proposed method.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Xiangyu Sha, Aizhong Lu, Ning Zhang
Summary: This paper investigates the stress and displacement of a layered soil with a fractional-order viscoelastic model under time-varying loads. The correctness of the solutions is validated using numerical methods and comparison with existing literature. The research findings are of significant importance for exploring soil behavior and its engineering applications under time-varying loads.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Thuy Dong Dang, Thi Kieu My Do, Minh Duc Vu, Ngoc Ly Le, Tho Hung Vu, Hoai Nam Vu
Summary: This paper investigates the nonlinear torsional buckling of corrugated core sandwich toroidal shell segments with functionally graded graphene-reinforced composite (FG-GRC) laminated coatings in temperature change using the Ritz energy method. The results show the significant beneficial effects of FG-GRC laminated coatings and corrugated core on the nonlinear buckling responses of structures.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Zhihao Zhai, Chengbiao Cai, Qinglai Zhang, Shengyang Zhu
Summary: This paper investigates the effect of localized cracks induced by environmental factors on the dynamic performance and service life of ballastless track in high-speed railways. A mathematical approach for forced vibrations of Mindlin plates with a side crack is derived and implemented into a train-track coupled dynamic system. The accuracy of this approach is verified by comparing with simulation and experimental results, and the dynamic behavior of the side crack under different conditions is analyzed.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
James Vidler, Andrei Kotousov, Ching-Tai Ng
Summary: The far-field methodology, developed by J.C. Maxwell, is utilized to estimate the effective third order elastic constants of composite media containing random distribution of spherical particles. The results agree with previous studies and can be applied to homogenization problems in other fields.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Kim Q. Tran, Tien-Dat Hoang, Jaehong Lee, H. Nguyen-Xuan
Summary: This study presents novel frameworks for graphene platelets reinforced functionally graded triply periodic minimal surface (GPLR-FG-TPMS) plates and investigates their performance through static and free vibration analyses. The results show that the mass density framework has potential for comparing different porous cores and provides a low weight and high stiffness-to-weight ratio. Primitive plates exhibit superior performance among thick plates.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Bence Hauck, Andras Szekrenyes
Summary: This study explores several methods for computing the J-integral in laminated composite plate structures with delamination. It introduces two special types of plate finite elements and a numerical algorithm. The study presents compact formulations for calculating the J-integral and applies matrix multiplication to take advantage of plate transition elements. The models and algorithms are applied to case studies and compared with analytical and previously used finite element solutions.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Wu Ce Xing, Jiaxing Wang, Yan Qing Wang
Summary: This paper proposes an effective mathematical model for bolted flange joints to study their vibration characteristics. By modeling the flange and bolted joints, governing equations are derived. Experimental studies confirm that the model can accurately predict the vibration characteristics of multiple-plate structures.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Pingchao Yu, Li Hou, Ke Jiang, Zihan Jiang, Xuanjun Tao
Summary: This paper investigates the imbalance problem in rotating machinery and finds that mass imbalance can induce lateral-torsional coupling vibration. By developing a model and conducting detailed analysis, it is discovered that mass imbalance leads to nonlinear time-varying characteristics and there is no steady-state torsional vibration in small unbalanced rotors. Under largely unbalanced conditions, both resonant and unstable behavior can be observed, and increasing lateral damping can suppress instability and reduce lateral amplitude in the resonance region.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Yong Cao, Ziwen Guo, Yilin Qu
Summary: This paper investigates the mechanically induced electric potential and charge redistribution in a piezoelectric semiconductor cylindrical shell. The results show that doping levels can affect the electric potentials and mechanical displacements, and alter the peak position of the zeroth-order electric potential. The doping level also has an inhibiting effect on the first natural frequency. These findings are crucial for optimizing the design and performance of cylindrical shell-shaped sensors and energy harvesters.
APPLIED MATHEMATICAL MODELLING
(2024)
