Pub Date : 2025-01-02DOI: 10.1016/j.matcom.2024.12.017
Kavitha S. , Kendra N. , Satheeshkumar J. , Amudha T. , Balachandran Manavalan
This article presents an ensemble feature selection approach grounded in multi-criteria decision-making techniques through the development of a novel scoring function. We explore the q-rung orthopair hesitant fuzzy set, introducing a new score function for the q-rung orthopair hesitant fuzzy numbers based on an exponential model. Both the newly developed score function and the existing score function for this fuzzy set are combined with decision-making methods to form an ensemble feature selection method, demonstrating the proposed score function’s effectiveness. Additionally, our technique is compared with existing feature selection methods, both individual and ensemble, to verify its statistical significance and superiority.
{"title":"Decision making based ensemble feature selection approach through a new score function in q-rung orthopair hesitant fuzzy environment","authors":"Kavitha S. , Kendra N. , Satheeshkumar J. , Amudha T. , Balachandran Manavalan","doi":"10.1016/j.matcom.2024.12.017","DOIUrl":"10.1016/j.matcom.2024.12.017","url":null,"abstract":"<div><div>This article presents an ensemble feature selection approach grounded in multi-criteria decision-making techniques through the development of a novel scoring function. We explore the q-rung orthopair hesitant fuzzy set, introducing a new score function for the q-rung orthopair hesitant fuzzy numbers based on an exponential model. Both the newly developed score function and the existing score function for this fuzzy set are combined with decision-making methods to form an ensemble feature selection method, demonstrating the proposed score function’s effectiveness. Additionally, our technique is compared with existing feature selection methods, both individual and ensemble, to verify its statistical significance and superiority.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"232 ","pages":"Pages 362-381"},"PeriodicalIF":4.4,"publicationDate":"2025-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143269205","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-01-02DOI: 10.1016/j.matcom.2024.12.023
Yating Hao, Ben Gao
Optical fiber plays a crucial role in modern information and communication technology. The birefringent fiber can allow multiple independent data streams to be transmitted simultaneously in the same fiber, which significantly improves the bandwidth utilization rate of the communication system and has an important impact on the realization of future high-speed, efficient and low-power communication systems. In this paper, with the help of Hirota bilinear method, the (3+1)-dimensional coupled nonlinear Schrödinger equation with variable coefficients is studied carefully, which shows the evolution of two polarization envelopes in birefringent fibers and plays a significant role in the development of optical communications. At the beginning, the bilinear form of the above equation along with bilinear Bäcklund transformation are derived by the Hirota bilinear method. Subsequently, a diverse range of bright–dark alternating soliton solutions, such as U-type, S-type, kink-type and so on, can be constructed by deciding the appropriate special values of the undetermined parameters. It is worthy to note that the above results have never appeared in previous references. The impacts of some parameters on soliton solutions have been discussed and analyzed in detail by comparing the graphs corresponding to multitudinous soliton solutions obtained above. Furthermore, the situations before and after the collision of two solitons in special cases have been studied by using asymptotic analysis.
{"title":"Bilinear Bäcklund transformation and soliton solutions to a (3+1)-dimensional coupled nonlinear Schrödinger equation with variable coefficients in optical fibers","authors":"Yating Hao, Ben Gao","doi":"10.1016/j.matcom.2024.12.023","DOIUrl":"10.1016/j.matcom.2024.12.023","url":null,"abstract":"<div><div>Optical fiber plays a crucial role in modern information and communication technology. The birefringent fiber can allow multiple independent data streams to be transmitted simultaneously in the same fiber, which significantly improves the bandwidth utilization rate of the communication system and has an important impact on the realization of future high-speed, efficient and low-power communication systems. In this paper, with the help of Hirota bilinear method, the (3+1)-dimensional coupled nonlinear Schrödinger equation with variable coefficients is studied carefully, which shows the evolution of two polarization envelopes in birefringent fibers and plays a significant role in the development of optical communications. At the beginning, the bilinear form of the above equation along with bilinear Bäcklund transformation are derived by the Hirota bilinear method. Subsequently, a diverse range of bright–dark alternating soliton solutions, such as U-type, S-type, kink-type and so on, can be constructed by deciding the appropriate special values of the undetermined parameters. It is worthy to note that the above results have never appeared in previous references. The impacts of some parameters on soliton solutions have been discussed and analyzed in detail by comparing the graphs corresponding to multitudinous soliton solutions obtained above. Furthermore, the situations before and after the collision of two solitons in special cases have been studied by using asymptotic analysis.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"232 ","pages":"Pages 123-139"},"PeriodicalIF":4.4,"publicationDate":"2025-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143268915","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-01-02DOI: 10.1016/j.matcom.2024.12.018
Shipei Wu, Shaojun Lan
The study of discrete-time queueing systems is important for modeling and optimizing real-world systems that operate in fixed time intervals, such as telecommunications, computer networks, and manufacturing. This paper contributes to this field by analyzing two unreliable discrete-time queueing models that incorporate Bernoulli working vacation interruptions and balking customers under two different killing strategies, allowing for a more realistic representation of disruptions in service operations. After serving all currently present positive customers, the server promptly begins a working vacation. If a service is completed and there are still positive customers awaiting service during this vacation period, the server will either attend to the next customer at the normal speed with a probability of , or continue to serve the existing customer at a reduced speed with a probability of . Employing the supplementary variable method and the probability generating function technique, we obtain the steady-state queue length distributions and sojourn time distributions for both models. Besides, some crucial performance characteristics are presented. Finally, Sensitivity analysis is conducted through numerical examples to explore the operational characteristics and patterns of the systems under consideration. The findings of this study can be applied to optimizing operations in digital communication systems, minimizing customer waiting times and reducing the risk of server failures.
{"title":"Analysis of repairable discrete-time queueing systems with negative customers, disasters, balking customers and interruptible working vacations under Bernoulli schedule","authors":"Shipei Wu, Shaojun Lan","doi":"10.1016/j.matcom.2024.12.018","DOIUrl":"10.1016/j.matcom.2024.12.018","url":null,"abstract":"<div><div>The study of discrete-time queueing systems is important for modeling and optimizing real-world systems that operate in fixed time intervals, such as telecommunications, computer networks, and manufacturing. This paper contributes to this field by analyzing two unreliable discrete-time <span><math><mrow><mi>G</mi><mi>e</mi><mi>o</mi><mo>/</mo><mi>G</mi><mo>/</mo><mn>1</mn></mrow></math></span> queueing models that incorporate Bernoulli working vacation interruptions and balking customers under two different killing strategies, allowing for a more realistic representation of disruptions in service operations. After serving all currently present positive customers, the server promptly begins a working vacation. If a service is completed and there are still positive customers awaiting service during this vacation period, the server will either attend to the next customer at the normal speed with a probability of <span><math><mi>p</mi></math></span>, or continue to serve the existing customer at a reduced speed with a probability of <span><math><mrow><mn>1</mn><mo>−</mo><mi>p</mi></mrow></math></span>. Employing the supplementary variable method and the probability generating function technique, we obtain the steady-state queue length distributions and sojourn time distributions for both models. Besides, some crucial performance characteristics are presented. Finally, Sensitivity analysis is conducted through numerical examples to explore the operational characteristics and patterns of the systems under consideration. The findings of this study can be applied to optimizing operations in digital communication systems, minimizing customer waiting times and reducing the risk of server failures.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"232 ","pages":"Pages 102-122"},"PeriodicalIF":4.4,"publicationDate":"2025-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143268916","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-12-30DOI: 10.1016/S0378-4754(24)00497-X
{"title":"IMACS Calendar of Events","authors":"","doi":"10.1016/S0378-4754(24)00497-X","DOIUrl":"10.1016/S0378-4754(24)00497-X","url":null,"abstract":"","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"230 ","pages":"Page 560"},"PeriodicalIF":4.4,"publicationDate":"2024-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143129352","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-12-30DOI: 10.1016/S0378-4754(24)00496-8
{"title":"News of IMACS","authors":"","doi":"10.1016/S0378-4754(24)00496-8","DOIUrl":"10.1016/S0378-4754(24)00496-8","url":null,"abstract":"","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"230 ","pages":"Page 559"},"PeriodicalIF":4.4,"publicationDate":"2024-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143129350","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-12-28DOI: 10.1016/j.matcom.2024.12.021
Wentao Wang , Jihui Wu , Wei Chen
In this paper, we address the issue of global exponential stability for a class of delayed inertial neural networks (DINNs). Employing the characteristics method, we derive several sufficient conditions, which are both decay and delay-dependent as well as decay and delay-independent, to guarantee the global exponential stability of the given neural networks. Lastly, we present three numerical examples to highlight the advantages of our novel results.
{"title":"The characteristics method to study global exponential stability of delayed inertial neural networks","authors":"Wentao Wang , Jihui Wu , Wei Chen","doi":"10.1016/j.matcom.2024.12.021","DOIUrl":"10.1016/j.matcom.2024.12.021","url":null,"abstract":"<div><div>In this paper, we address the issue of global exponential stability for a class of delayed inertial neural networks (DINNs). Employing the characteristics method, we derive several sufficient conditions, which are both decay and delay-dependent as well as decay and delay-independent, to guarantee the global exponential stability of the given neural networks. Lastly, we present three numerical examples to highlight the advantages of our novel results.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"232 ","pages":"Pages 91-101"},"PeriodicalIF":4.4,"publicationDate":"2024-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143367913","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-12-26DOI: 10.1016/j.matcom.2024.12.019
Murat Uzunca , Bülent Karasözen
We present energy-preserving linearly implicit integrators for the nonlinear Klein–Gordon equation, based on the polarization of the polynomial functions. They are symmetric, second-order accurate in time and space, and unconditionally stable. Instead of solving a nonlinear algebraic equation at every time step, the linearly implicit integrators only require solving a linear system, which reduces the computational cost. We propose three types of linearly implicit integrators for the nonlinear Klein–Gordon equation, that preserve the modified, polarized invariants, ensuring the stability of the solutions in long-time integration. Numerical results confirm the theoretical convergence orders and preservation of the Hamiltonians that guarantee the stability of the solutions in long-time simulation.
{"title":"Linearly implicit methods for the nonlinear Klein–Gordon equation","authors":"Murat Uzunca , Bülent Karasözen","doi":"10.1016/j.matcom.2024.12.019","DOIUrl":"10.1016/j.matcom.2024.12.019","url":null,"abstract":"<div><div>We present energy-preserving linearly implicit integrators for the nonlinear Klein–Gordon equation, based on the polarization of the polynomial functions. They are symmetric, second-order accurate in time and space, and unconditionally stable. Instead of solving a nonlinear algebraic equation at every time step, the linearly implicit integrators only require solving a linear system, which reduces the computational cost. We propose three types of linearly implicit integrators for the nonlinear Klein–Gordon equation, that preserve the modified, polarized invariants, ensuring the stability of the solutions in long-time integration. Numerical results confirm the theoretical convergence orders and preservation of the Hamiltonians that guarantee the stability of the solutions in long-time simulation.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"231 ","pages":"Pages 318-330"},"PeriodicalIF":4.4,"publicationDate":"2024-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143133420","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-12-25DOI: 10.1016/j.matcom.2024.12.015
Rustu Akay , Mustafa Yusuf Yildirim
Recently, researchers have stated that the movement of unmanned vehicles (UVs) in 3D environments is more complex compared to 2D due to extra height and depth dimensions, and they have focused on the development of UV technology in this direction. Especially in path planning problems, studies on different parameters such as time, distance and energy consumption have gained importance. This paper focuses on path planning efficiency in complex 3D environments and proposes a method called Segment Based A* (SBA*), which runs on graphs created using random nodes. In this method, the path initially planned with A* on a global graph is divided into segments, and new local graphs are created on these segments for more efficient path planning. Extensive simulations in both 2D and 3D environments with various obstacle configurations demonstrate that SBA* significantly outperforms traditional algorithms in terms of key performance metrics including path length, total rotation angle, number of sharp turns and smoothness ratio. These improvements indicate that SBA* not only enhances path efficiency but also considerably reduces energy consumption, making it a valuable contribution to practical applications in UV technology.
{"title":"SBA*: An efficient method for 3D path planning of unmanned vehicles","authors":"Rustu Akay , Mustafa Yusuf Yildirim","doi":"10.1016/j.matcom.2024.12.015","DOIUrl":"10.1016/j.matcom.2024.12.015","url":null,"abstract":"<div><div>Recently, researchers have stated that the movement of unmanned vehicles (UVs) in 3D environments is more complex compared to 2D due to extra height and depth dimensions, and they have focused on the development of UV technology in this direction. Especially in path planning problems, studies on different parameters such as time, distance and energy consumption have gained importance. This paper focuses on path planning efficiency in complex 3D environments and proposes a method called Segment Based A* (SBA*), which runs on graphs created using random nodes. In this method, the path initially planned with A* on a global graph is divided into segments, and new local graphs are created on these segments for more efficient path planning. Extensive simulations in both 2D and 3D environments with various obstacle configurations demonstrate that SBA* significantly outperforms traditional algorithms in terms of key performance metrics including path length, total rotation angle, number of sharp turns and smoothness ratio. These improvements indicate that SBA* not only enhances path efficiency but also considerably reduces energy consumption, making it a valuable contribution to practical applications in UV technology.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"231 ","pages":"Pages 294-317"},"PeriodicalIF":4.4,"publicationDate":"2024-12-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143133419","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-12-24DOI: 10.1016/j.matcom.2024.12.013
Soumini Dolui , Bivas Bhaumik , Soumen De
At the cutting edge of industrial and bionanoscience research, investigating the synergistic effects of magnetization and EMHD on flow dynamics at nanolayer interfaces and the bio-thermal responses of nanostructures in micromagnetorotational nanofluids represents a pioneering endeavor. Building upon this novel concept, the present study introduces a theoretical inquiry into the influence of ternary composite nanoparticle on biofluid flow within stenosed carotid arteries. The meticulously simulated flow scenario encompasses a spectrum of physical phenomena, including heat sources, Joule heating, viscous and buoyancy forces. Utilizing the homotopy perturbation method, the research provides rapidly converging series solutions for complex flow equations, illustrating the effects on various hemodynamic profiles. Key findings reveal that together with electromagnetic force and magnetization significantly improve flow velocity by approximately 0.01946% at r than without its presence, but slows down around 0.0165% by thermal buoyancy forces in both restricted regions. Enhanced viscous dissipation reduces flow resistance, particularly for blade-shaped nanoparticles, which achieve temperature increases of 0.0366% and 0.1631% in narrowed and dilated segments, respectively. These nanoparticles shape also induce oscillations in heat transfer, whereas platelet-shaped nanolayered particles enhance localized thermal transfer, resulting in heat transfer enhancements of 72.50%, for ternary nanofluids at . Magnetization boosts the microrotational dynamics of bio-elements by 0.0116% in the nanoparticle-targeted region of the narrowed segment, with a notable reduction of 3.5574% observed in the tapered section. Furthermore, the microrotation effect minimizes the entropy rates by 0.631% and 3.751% at r in the respective sections. These insights collectively hold potential for advancing medical technologies based on bioelectromagnetic principles.
{"title":"Thermal analysis of nanolayer interfaces and nanoparticle shape reactivity in EMHD micromagnetorotational ternary nanofluid flow within deceased bifurcated artery","authors":"Soumini Dolui , Bivas Bhaumik , Soumen De","doi":"10.1016/j.matcom.2024.12.013","DOIUrl":"10.1016/j.matcom.2024.12.013","url":null,"abstract":"<div><div>At the cutting edge of industrial and bionanoscience research, investigating the synergistic effects of magnetization and EMHD on flow dynamics at nanolayer interfaces and the bio-thermal responses of nanostructures in micromagnetorotational nanofluids represents a pioneering endeavor. Building upon this novel concept, the present study introduces a theoretical inquiry into the influence of ternary composite nanoparticle on biofluid flow within stenosed carotid arteries. The meticulously simulated flow scenario encompasses a spectrum of physical phenomena, including heat sources, Joule heating, viscous and buoyancy forces. Utilizing the homotopy perturbation method, the research provides rapidly converging series solutions for complex flow equations, illustrating the effects on various hemodynamic profiles. Key findings reveal that together with electromagnetic force and magnetization significantly improve flow velocity by approximately 0.01946% at r <span><math><mrow><mo>=</mo><mn>0</mn><mo>.</mo><mn>44</mn></mrow></math></span> than without its presence, but slows down around 0.0165% by thermal buoyancy forces in both restricted regions. Enhanced viscous dissipation reduces flow resistance, particularly for blade-shaped nanoparticles, which achieve temperature increases of 0.0366% and 0.1631% in narrowed and dilated segments, respectively. These nanoparticles shape also induce oscillations in heat transfer, whereas platelet-shaped nanolayered particles enhance localized thermal transfer, resulting in heat transfer enhancements of 72.50%, for ternary nanofluids at <span><math><mrow><mi>z</mi><mo>=</mo><mn>1</mn><mo>.</mo><mn>8</mn></mrow></math></span>. Magnetization boosts the microrotational dynamics of bio-elements by 0.0116% in the nanoparticle-targeted region of the narrowed segment, with a notable reduction of 3.5574% observed in the tapered section. Furthermore, the microrotation effect minimizes the entropy rates by 0.631% and 3.751% at r <span><math><mrow><mo>=</mo><mn>0</mn><mo>.</mo><mn>8</mn></mrow></math></span> in the respective sections. These insights collectively hold potential for advancing medical technologies based on bioelectromagnetic principles.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"232 ","pages":"Pages 17-49"},"PeriodicalIF":4.4,"publicationDate":"2024-12-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143268892","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-12-24DOI: 10.1016/j.matcom.2024.12.014
Saheb Pal , Nikhil Pal
Understanding how abiotic factors affect predator–prey interaction is essential due to rapid anthropogenic climate change. Field experiments showed that wind speed (one of the most common abiotic factors) significantly affects the predator’s attack rate, which could be positive or negative. Motivated by the experimental study of Quinn and Cresswell (2004), in the present paper, we investigate the impact of wind speed on a well-known Gause-type model and consider that moderate wind speed benefits predators by increasing their attack rate, whereas enormous wind speed is detrimental for predators by decreasing their attack rate. We explore the system’s dynamical behaviour in biparameter space and provide theoretical proof of global stability of the unique coexistence equilibrium. We observe the existence of a unique and stable limit cycle, two successive transcritical bifurcations, the bubbling phenomenon, etc. Our findings reveal that under the low carrying capacity of prey, the coexistence of the species is possible only for an intermediate range of wind strength. We also observe that wind strength acts as a control parameter in forming and eliminating oscillations within the system. So, wind can have both stabilizing and destabilizing effects. Further, we explore the variation of population densities by changing the wind strength and carrying capacity. We observe that the prey density depends only on the wind strength. In contrast, the predator density depends on both wind strength and carrying capacity, where half of the prey’s carrying capacity plays a vital role in the variation of density. So, the effect of wind on predator–prey interactions is diverse and depends on several factors, including the species’ environmental carrying capacity.
{"title":"Modelling the wind effect in predator–prey interactions","authors":"Saheb Pal , Nikhil Pal","doi":"10.1016/j.matcom.2024.12.014","DOIUrl":"10.1016/j.matcom.2024.12.014","url":null,"abstract":"<div><div>Understanding how abiotic factors affect predator–prey interaction is essential due to rapid anthropogenic climate change. Field experiments showed that wind speed (one of the most common abiotic factors) significantly affects the predator’s attack rate, which could be positive or negative. Motivated by the experimental study of Quinn and Cresswell (2004), in the present paper, we investigate the impact of wind speed on a well-known Gause-type model and consider that moderate wind speed benefits predators by increasing their attack rate, whereas enormous wind speed is detrimental for predators by decreasing their attack rate. We explore the system’s dynamical behaviour in biparameter space and provide theoretical proof of global stability of the unique coexistence equilibrium. We observe the existence of a unique and stable limit cycle, two successive transcritical bifurcations, the bubbling phenomenon, etc. Our findings reveal that under the low carrying capacity of prey, the coexistence of the species is possible only for an intermediate range of wind strength. We also observe that wind strength acts as a control parameter in forming and eliminating oscillations within the system. So, wind can have both stabilizing and destabilizing effects. Further, we explore the variation of population densities by changing the wind strength and carrying capacity. We observe that the prey density depends only on the wind strength. In contrast, the predator density depends on both wind strength and carrying capacity, where half of the prey’s carrying capacity plays a vital role in the variation of density. So, the effect of wind on predator–prey interactions is diverse and depends on several factors, including the species’ environmental carrying capacity.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"232 ","pages":"Pages 75-90"},"PeriodicalIF":4.4,"publicationDate":"2024-12-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143268891","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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