Article
Mathematics, Applied
Sourav Kumar Sasmal, Yasuhiro Takeuchi
Summary: Predation-driven Allee effects are important in the dynamics of small prey populations, especially when a generalist predator targets specific prey. Fear of predation and its carry-over effects play a significant role in the stability of coexistence equilibrium, even for models with type I functional response. The study shows how non-lethal effects can change the dynamics of a prey-predator model and provides insights for understanding small population dynamics.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2022)
Article
Mathematics, Applied
Yao Shi, Jianhua Wu, Qian Cao
Summary: This paper investigates a diffusive predator-prey system with multiple Allee effects induced by fear factors subject to Neumann boundary conditions. The a priori estimates of non-negative and non-trivial solutions are introduced, and the nonexistence of non-constant positive solutions for certain parameter ranges is proven. The stability of non-negative constant solutions is studied using linearized theory, and spatially homogeneous and nonhomogeneous periodic solutions as well as non-constant steady-state solutions are analyzed by choosing the Allee threshold theta as the bifurcation parameter. Theoretical results are illustrated through numerical simulations.
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
(2021)
Article
Mathematics, Applied
Wei-Jian Bo, Xiaohui Wang, Bang-Sheng Han, Yan Li
Summary: This paper explores the asymptotic spreading for a class of diffusion equations with degenerate monostable nonlinearity, finding that the speed of asymptotic spreading may be finite or infinite. Unlike the non-degenerate case, the degenerate case shows that the tails of the initial values can affect the propagation speed and lead to acceleration under certain conditions.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2021)
Article
Mathematics, Interdisciplinary Applications
Junli Liu, Bairu Liu, Pan Lv, Tailei Zhang
Summary: The proposed eco-epidemiological model in this paper considers the fear effect and hunting cooperation among predators on prey population and disease transmission. Mathematical analysis reveals the existence of backward bifurcation and bistability in the model, while numerical simulations demonstrate that low levels of fear and cooperation can stabilize the system but high levels may induce limit cycles.
CHAOS SOLITONS & FRACTALS
(2021)
Article
Mathematics, Applied
Ali Yousef
Summary: This paper proposes a mathematical model to explore the impact of community fear effect on psychological pressure during the COVID-19 pandemic. Through analyzing key data and implementing simulation studies, some theoretical findings are obtained.
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
Engineering, Mechanical
Tingting Ma, Xinzhu Meng, Tasawar Hayat, Aatef Hobiny
Summary: This article investigates a diffusive delayed predator-prey system with herd behavior and fear effect, considering both Allee effect term and prey chemotaxis. The stability and dynamic behaviors of the system under different conditions are studied, and Turing instability caused by prey chemotaxis is explored. Moreover, the time delay is considered as a bifurcation parameter to investigate the stability of the reaction-diffusion system. The properties of Hopf bifurcation of the delayed diffusive system are derived using normal form theory and center manifold theorem. Computer simulations are conducted to verify the theoretical analysis and demonstrate the impact of fear effect on the stability of the system.
NONLINEAR DYNAMICS
(2022)
Article
Mathematics, Interdisciplinary Applications
Yangyang Lv, Lijuan Chen, Fengde Chen, Zhong Li
Summary: This paper investigates the dynamics of an SI epidemic model incorporating additive Allee effect and time delay. The existence and stability of equilibria, the presence of Hopf bifurcation, and the impact of both the Allee effect and time delay on disease prevalence are explored, highlighting their vital effects on the system dynamics.
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
(2021)
Article
Mathematical & Computational Biology
Chunmei Zhang, Suli Liu, Jianhua Huang, Weiming Wang
Summary: The fear effect in prey-predator interaction decreases prey growth rate by eliciting anti-predator responses. To study its impact on population dynamics, a model incorporating infectious disease in predator population and cost of anti-predator behaviors is developed. Mathematical results show that population density decreases with increasing fear, and fear effect can either destabilize stability or induce periodic behavior. This provides a foundation for understanding the effect of anti-predator behaviors on eco-epidemiological interaction.
MATHEMATICAL BIOSCIENCES AND ENGINEERING
(2023)
Article
Mathematical & Computational Biology
Jia Liu
Summary: This study investigates a diffusive predator-prey model with multiple Allee effects induced by fear factors, examining the existence, boundedness, and permanence of solutions as well as discussing the possibility of non-constant solutions. It also derives conditions for homogeneous and non-homogeneous bifurcations. Theoretical and numerical simulations demonstrate the significant impact of strong Allee effect and fear effect on the system dynamics.
INTERNATIONAL JOURNAL OF BIOMATHEMATICS
(2021)
Article
Mathematical & Computational Biology
Mengxin Chen, Xuezhi Li, Ranchao Wu
Summary: In this paper, the predator-prey model with strong Allee and fear effects is analyzed. The paper establishes the existence and stability of the equilibria and explores the degenerate point and different types of bifurcation. The nonexistence and existence of nonconstant steady states are presented using energy estimates and the Leray-Schauder degree.
INTERNATIONAL JOURNAL OF BIOMATHEMATICS
(2023)
Article
Environmental Sciences
B. Mols, J. E. Churchill, J. P. G. M. Cromsigt, D. P. J. Kuijper, C. Smit
Summary: This study investigates how human recreational activities influence deer space-use patterns and the spatial distribution of the sheep tick, a vector of zoonotic diseases. The research suggests that trails commonly used for recreation can reduce the abundance of ticks and consequently lower the risk of tick-borne diseases for humans.
SCIENCE OF THE TOTAL ENVIRONMENT
(2022)
Article
Mathematics, Applied
Mohammad F. M. Naser
Summary: This study introduces a one-dimensional logistic harvesting model with Allee effect into a time-varying framework. Unlike the autonomous version, this new framework allows all environment-dependent coefficients to vary with time, making it more realistic. Based on these coefficients, a set of conditions that drive the population to mathematical extinction is derived. Various local and global stability notions, including uniform stability, attractivity, asymptotic stability, and uniform exponential stability, are investigated.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2023)
Article
Mathematics, Interdisciplinary Applications
Debjit Pal, Dipak Kesh, Debasis Mukherjee
Summary: This study focuses on a prey-predator reaction-diffusion model with a modified Leslie-Gower type functional response that incorporates Allee and fear effects. Both self and cross-diffusion are introduced in the model. The equilibrium points, their stability, saddle-node, and Hopf bifurcations around steady states are investigated for a non-spatial system. The conditions for Turing instability and the critical line of Hopf and Turing bifurcation in a spatial domain with zero-flux boundary conditions are determined. Numerical simulation is carried out to depict the parametric space for different regions, especially in Turing space. It is observed that cross diffusion plays a significant role in forming patterns such as spots, stripes, and a mixture of spots and stripes. The issue of spatiotemporal pattern controllability is also examined. However, the availability of cross diffusion shows a paradoxical effect on prey density with increasing level of Allee.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Mathematics, Applied
Xin-You Meng, Miao-Miao Lu
Summary: This paper considers a delayed prey-predator eco-epidemiological model with nonlinear media. The positivity and boundedness of solutions are given. The basic reproductive number is calculated, and the local stability of the trivial equilibrium and the disease-free equilibrium is discussed. The stability switches caused by the delay are studied, and the direction of Hopf bifurcation and the stability of periodic solutions are determined using normal form theory and center manifold theory. The theoretical analysis is verified by numerical simulation, and biological explanations are provided. The main conclusions are summarized at the end.
Article
Engineering, Mechanical
Santanu Biswas, Sourav Kumar Sasmal, Sudip Samanta, Md. Saifuddin, Nikhil Pal, Joydev Chattopadhyay
NONLINEAR DYNAMICS
(2017)
Article
Biology
Sourav Kumar Sasmal, Indrajit Ghosh, Amit Huppert, Joydev Chattopadhyay
BULLETIN OF MATHEMATICAL BIOLOGY
(2018)
Article
Mathematical & Computational Biology
Saheb Pal, Sourav Kumar Sasmal, Nikhil Pal
INTERNATIONAL JOURNAL OF BIOMATHEMATICS
(2018)
Article
Biology
Jeet Banerjee, Sourav Kumar Sasmal, Ritwik Kumar Layek
Article
Biology
Sourav Kumar Sasmal, Yasuhiro Takeuchi, Shinji Nakaoka
JOURNAL OF THEORETICAL BIOLOGY
(2019)
Article
Mathematics, Applied
Sourav Kumar Sasmal, Yasuhiro Takeuchi
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2020)
Article
Mathematics, Applied
Sourav Kumar Sasmal, Yasuhiro Takeuchi
Summary: In this study, a single species population model subject to additive Allee effects due to predation satiation is proposed, analyzed using continuous strategy evolutionary game theory, and considering the aposematic behavior of the population. The model looks at how the aposematism parameter and saturation constant are functions of a mean phenotypic trait subject to evolution, and finds that the extinction equilibrium can also be an evolutionary stable strategy depending on the evolutionary functional forms. The research suggests that the variation ratio in aposematic behavior and saturation constant phenotypes plays an important role in the equilibrium stability and evolutionary stable strategy conditions.
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
(2021)
Article
Mathematics, Applied
Sourav Kumar Sajan, Sourav Kumar Sasmal, Balram Dubey
Summary: This paper investigates the dynamics of a phytoplankton-zooplankton-fish system, exploring how fear-induced birth rate reduction in the middle predator and an additional food source for the top predator fish impact the system. The study demonstrates the existence of multiple equilibrium points and analyzes the effects of fear level and food quality through mathematical modeling and numerical simulations.
Article
Mathematics, Applied
Sourav Kumar Sasmal, Yasuhiro Takeuchi
Summary: Predation-driven Allee effects are important in the dynamics of small prey populations, especially when a generalist predator targets specific prey. Fear of predation and its carry-over effects play a significant role in the stability of coexistence equilibrium, even for models with type I functional response. The study shows how non-lethal effects can change the dynamics of a prey-predator model and provides insights for understanding small population dynamics.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2022)
Article
Physics, Multidisciplinary
Sourav Kumar Sasmal, Anshu, Balram Dubey
Summary: This study explores the impact of cooperation on ecological systems, analyzing the effects of hunting cooperation among predators and fear-induced birth reduction in prey population using mathematical models. Various stability and bifurcation scenarios are studied, along with the conditions for Turing instability in a spatially extended system. Numerical simulations validate the analytical results for both spatial and non-spatial models.
EUROPEAN PHYSICAL JOURNAL PLUS
(2022)
Article
Mathematical & Computational Biology
Sourav Kumar Sasmal, Jeet Banerjee, Yasuhiro Takeuchi
MATHEMATICAL BIOSCIENCES AND ENGINEERING
(2019)
Article
Physics, Multidisciplinary
Jeet Banerjee, Ritwik Kumar Layek, Sourav K. Sasmal, Dibakar Ghosh
Article
Physics, Fluids & Plasmas
Srilena Kundu, Soumen Majhi, Sourav Kumar Sasmal, Dibakar Ghosh, Biswambhar Rakshit
Article
Biology
Pankaj Kumar Tiwari, Sourav Kumar Sasmal, Amar Sha, Ezio Venturino, Joydev Chattopadhyay
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)