Article
Mathematics, Applied
Jingen Yang, Sanling Yuan
Summary: This paper presents a further dynamic analysis of a toxin-producing phytoplankton-zooplankton model, revealing the possibility of multiple bistability phenomena and complex bifurcations.
APPLIED MATHEMATICS LETTERS
(2021)
Article
Mathematical & Computational Biology
Hong Yang
Summary: This paper examines a diffusive toxic-producing plankton system with delay, analyzes the effect of delay on the positive equilibrium, and establishes the global existence of periodic solutions.
MATHEMATICAL BIOSCIENCES AND ENGINEERING
(2022)
Article
Mathematics, Applied
He Liu, Chuanjun Dai, Hengguo Yu, Qing Guo, Jianbing Li, Aimin Hao, Jun Kikuchi, Min Zhao
Summary: This paper studies a stochastic phytoplankton-toxic phytoplankton-zooplankton system with Beddington-DeAngelis functional response, considering both white noise and regime switching. The existence and uniqueness of global positive solution, as well as conditions for extinction, persistence, and the existence of a unique stationary distribution, are investigated. Numerical simulations show that high intensity of white noise is harmful to plankton populations, but regime switching can balance survival states and decrease extinction risk. It is also found that an increase in toxin liberation rate increases phytoplankton survival chance but reduces zooplankton biomass. These results provide insightful understanding on dynamics in disturbed aquatic environments.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2022)
Article
Mathematics, Applied
Saswati Biswas, Pankaj Kumar Tiwari, Samares Pal
Summary: The study is based on an eco-epidemiological model for virally infected toxic phytoplankton and zooplankton system, where time delay results in recurrent stability switching events and chaotic behavior in the seasonally forced delayed system. Enhanced strength of toxic compounds exuded by phytoplankton species may suppress the prevalence of chaotic disorder.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2022)
Article
Mathematical & Computational Biology
He Liu, Chuanjun Dai, Hengguo Yu, Qing Guo, Jianbing Li, Aimin Hao, Jun Kikuchi, Min Zhao
Summary: This paper investigates the effects of environmental stochasticity and toxin-producing phytoplankton on aquatic ecosystems, showing that the system has a unique and global positive solution with positive initial values. The numerical analysis demonstrates that white noise can directly impact the survival of plankton populations.
MATHEMATICAL BIOSCIENCES AND ENGINEERING
(2021)
Article
Mathematics, Interdisciplinary Applications
Moh Nurul Huda, Qonita Qurrota A'yun, Sri Wigantono, Hardina Sandariria, Indriasri Raming, Asmaidi Asmaidi
Summary: This work proposes a prey-predator model for plankton interactions and investigates the influence of planktivorous fish predation in aquatic environments. The study analyzes the impact of fish predation on harvesting activity and the corresponding gestation delay in the model. The stability characteristics and bifurcation analysis are conducted, and the optimal harvesting strategy is obtained using the Pontryagin Maximum Principle.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Mathematics, Applied
Arindam Mandal, Saswati Biswas, Samares Pal
Summary: In this study, a three-tier system of nutrient, phytoplankton, and zooplankton with various delays and response functions is analyzed. Sensitivity analysis identifies important model parameters for zooplankton density. The system shows bistable behavior and different bifurcation scenarios under ecological conditions, and the gestation delay in zooplankton leads to harmful bloom events and chaotic disorder. Furthermore, the deterministic model is extended to a stochastic counterpart by adding white noise, which affects the survival and extinction of populations.
Article
Environmental Sciences
Iresha Sumudumali, Chandramali Kumari Jayawardana, Sarath Malavipathirana, Sunethra Kanthi Gunatilake, Nimal Udayakumara
Summary: This study investigated the direct and indirect effects of the fungicide chlorothalonil on aquatic plankton community structure. The highest concentration levels of chlorothalonil exposure had a significant impact on certain phytoplankton and zooplankton taxa. Phytoplankton taxa Amphora sp. and Staurastrum sp., and zooplankton taxa Moina sp. and copepod Nauplius were highly sensitive to chlorothalonil exposure. However, the presence of chlorothalonil also led to an increase in the abundance of phytoplankton taxa Mougeotia sp. and did not significantly reduce the individuals of zooplankton taxa Aeolosoma sp.
ENVIRONMENTAL SCIENCE AND POLLUTION RESEARCH
(2023)
Article
Engineering, Environmental
Ewa Merz, Thea Kozakiewicz, Marta Reyes, Christian Ebi, Peter Isles, Marco Baity-Jesi, Paul Roberts, Jules S. Jaffe, Stuart R. Dennis, Thomas Hardeman, Nelson Stevens, Tom Lorimer, Francesco Pomati
Summary: The Dual Scripps Plankton Camera (DSPC) presents a new approach for automated monitoring of phyto-and zooplankton communities. The DSPC demonstrates robust scaling with microscopy measurements in both laboratory and field applications, offering high temporal resolution and continuous sampling for a more detailed analysis of plankton dynamics. Comparing data from the DSPC to traditional methods shows overall agreement in diversity and abundance estimates, with the DSPC outperforming in the study of zooplankton community properties. The high frequency, reproducible, and real-time data provided by the DSPC expands our understanding of plankton ecology.
Article
Mathematics, Interdisciplinary Applications
Renxiang Shi
Summary: This paper investigates the dynamics of a phytoplankton-zooplankton system with delay, focusing on the delayed release of toxin by phytoplankton. It examines the positivity and boundedness of solutions, discusses the Hopf bifurcation caused by delay, and analyzes the properties of the bifurcation using center manifold and normal form techniques. Additionally, it studies the global existence of bifurcated periodic solutions and explores the impact of delay, disease spread, and recovery on the system dynamics through simulation.
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
(2021)
Article
Environmental Sciences
Pedro Henrique Gomes, Silvano Porto Pereira, Tallita Cruz Lopes Tavares, Tatiane Martins Garcia, Marcelo O. Soares
Summary: The large-scale application of desalination technology can have impacts on marine biota, particularly phytoplankton and zooplankton, which are important components of marine food chains. This perspective aimed to summarize the impacts of desalination plant effluent discharges on phytoplankton and zooplankton, propose solutions, and provide recommendations for future research. Laboratory experiments and field studies have been used to assess the impacts, with a focus on the effects of hypersaline brine and high-temperature effluents. Phytoplankton was found to be more sensitive to these discharges, resulting in decreased primary productivity, loss of diversity, and changes in community structure. Improving treatment or dilution of effluent discharges is crucial to minimize impacts on the entire marine food web.
SCIENCE OF THE TOTAL ENVIRONMENT
(2023)
Article
Environmental Sciences
Kristian Spilling, Eero Asmala, Noora Haavisto, Lumi Haraguchi, Kaisa Kraft, Anne-Mari Lehto, Aleksandra M. Lewandowska, Joanna Norkko, Jonna Piiparinen, Jukka Seppala, Mari Vanharanta, Anu Vehmaa, Pasi Ylostalo, Timo Tamminen
Summary: Climate change-induced brownification affects the coastal seas and has potential impacts on the planktonic ecosystem, including changes in phytoplankton community composition and carbon fluxes.
SCIENCE OF THE TOTAL ENVIRONMENT
(2022)
Article
Mathematics, Interdisciplinary Applications
Tiancai Liao
Summary: This paper studies the dynamics of a stochastic phytoplankton-zooplankton (PZ) model with phytoplankton cell size and zooplankton body size. The positive and bounded solutions, dissipativity and permanence, and Hopf bifurcation in the PZ model without stochastic environmental fluctuations are investigated. The stochastic dynamics, including ergodic stationary distribution, permanence, extinction, and persistence, are explored in the PZ model with stochastic environmental fluctuations. The effects of environmental capacity, phytoplankton cell size, and zooplankton body size on the stability of the model are analyzed.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Ecology
Aabir Banerji, Ruta Deshpande, Michael Elk, Jody A. Shoemaker, Dan R. Tettenhorst, Mark Bagley, Jorge W. Santo Domingo
Summary: Research on the relationship between calanoid copepods and cyanobacteria suggests that copepods may tolerate the toxic microcystin produced by cyanobacteria, potentially perpetuating harmful algal blooms.
Article
Engineering, Environmental
Sang-Soo Baek, Eun-Young Jung, JongCheol Pyo, Yakov Pachepsky, Heejong Son, Kyung Hwa Cho
Summary: Harmful algal blooms have become a global issue, and model development is an alternative approach for understanding and managing them. Traditional modeling methods have limitations in simulating phytoplankton and zooplankton, while deep learning models show potential for simulating harmful algal blooms.
Article
Mathematics, Applied
Mudassar Imran, Tufail Malik, Ali R. Ansari, Adnan Khan
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS
(2016)
Article
Biology
Tufail Malik, Mudassar Imran, Raja Jayaraman
JOURNAL OF THEORETICAL BIOLOGY
(2016)
Article
Infectious Diseases
Muhammad Dure Ahmad, Muhammad Usman, Adnan Khan, Mudassar Imran
INFECTIOUS DISEASES OF POVERTY
(2016)
Article
Mathematical & Computational Biology
Mudassar Imran, Adnan Khan, Ali R. Ansari, Syed Touqeer Hussain Shah
INTERNATIONAL JOURNAL OF BIOMATHEMATICS
(2017)
Article
Biology
Adnan Khan, Mudassar Imran
JOURNAL OF BIOLOGICAL SYSTEMS
(2018)
Article
Multidisciplinary Sciences
Adnan Khan, Mohsin Ali, Wizda Iqbal, Mudassar Imran
Summary: The study formulates a deterministic model for COVID-19 transmission and evaluates control strategies, emphasizing the impact of age and co-morbidities on disease severity and mortality. Results show the importance of vaccination and medication for effective disease control, with the proportion of high and low risk populations having a significant effect on disease burden and mortality.
Article
Multidisciplinary Sciences
Danish A. Ahmed, Ali R. Ansari, Mudassar Imran, Kamal Dingle, Michael B. Bonsall
Summary: This study modeled the movement and infection process of host populations, finding that on a short-time scale, population diffusion and movement behavior type do not significantly affect infection levels. The efficacy of lockdown measures depends on the spatial distribution of susceptible and infectious individuals.
Article
Multidisciplinary Sciences
Asgher Ali, Mudassar Imran, Sultan Sial, Adnan Khan
Summary: Mathematical models are useful in determining optimal antibiotic dosing strategies for both susceptible and resistant bacteria. This study proposes two different models of resistance acquisition and uses numerical optimization algorithms to find the best dosing strategy. The optimal dosing strategy depends on the scenario, with different strategies for minimizing total bacterial population and minimizing population at the end of dosing period.
Article
Engineering, Electrical & Electronic
Samad Wali, Chunming Li, Mudassar Imran, Abdul Shakoor, Abdul Basit
Summary: This paper analyzes and tests the efficiency of the alternating direction method of multipliers (ADMM) for level-set based image segmentation. The comparison with the classical gradient descent method shows the effectiveness and efficiency of the ADMM method. Experimental results on medical image segmentation demonstrate an average segmentation coefficient of 0.97 (Dice) and 0.92 (Jaccard), with an average running time of 1.70 seconds and average estimation values of 0.0932 (MAD), 0.993 (accuracy), 0.981 (sensitivity), and 0.964 (specificity).
Article
Mathematical & Computational Biology
Mohsin Ali, Adnan Khan, Shaper Mirza, Mudassar Imran
Summary: In this study, a model for the transmission dynamics of co-infection with influenza and pneumococcal pneumonia is presented, showing the effects of influenza co-infection on pneumonia transmission. It is found that when the reproductive number of influenza is equal to or less than 1 and the reproductive number of pneumonia is equal to or greater than 1, influenza is driven to extinction while pneumonia remains endemic, and vice versa. The existence of a co-infection equilibrium is also demonstrated, which can lead to a backward bifurcation in the system under certain conditions, making the control of the infection more difficult.
INTERNATIONAL JOURNAL OF BIOMATHEMATICS
(2023)
Article
Mathematics, Interdisciplinary Applications
Muhammad Bilal Riaz, Ali Raza Ansari, Adil Jhangeer, Muddassar Imran, Choon Kit Chan
Summary: In this study, we propose a fractional non-linear coupled option pricing and volatility system as an alternative to the Black-Scholes model. We utilize the inverse scattering transformation and phi(6)-expansion algorithm to generate solitonic wave structures and analyze the system's behavior. The graphical representations help predict suitable parameter values that align with the data.
FRACTAL AND FRACTIONAL
(2023)
Article
Mathematics, Applied
Mudassar Imran, Muhammad Usman, Muhammad Dur-e-Ahmad, Adnan Khan
Summary: A deterministic model is proposed to investigate the transmission dynamics of Zika fever, taking into account effects of horizontal and vertical disease transmission. The expression for basic reproductive number R-0 is determined based on transmission rates, and model stability is analyzed, showing local asymptotic stability when R-0 < 1. The study also finds that disease persists strongly when R-0 > 1, with an endemic equilibrium that is locally asymptotically stable.
DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS
(2021)
Article
Mathematics, Interdisciplinary Applications
Muhammad Usman, Shaaban Abdallah, Mudassar Imran
Summary: This work focuses on studying the response of a ship rolling in regular beam waves, using a one degree of freedom model for nonlinear ship dynamics. The study includes analyzing the effects of various parameters on the stability of steady states and presenting slope stability theorems. The asymptotic perturbation method is used to study primary resonance phenomena and how the variation of bifurcation parameters affects the bending of the bifurcation curve.
MATHEMATICAL AND COMPUTATIONAL APPLICATIONS
(2021)
Article
Mathematics, Applied
Mudassar Imran, Mohamed Ben-Romdhane, Ali R. Ansari, Helmi Temimi
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S
(2020)
Article
Computer Science, Artificial Intelligence
Muhammad Dur-e-Ahmad, Mudassar Imran
INTERNATIONAL JOURNAL OF INTERACTIVE MULTIMEDIA AND ARTIFICIAL INTELLIGENCE
(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)
