Vol. 1 No. 3 (2023)

Applied mathematics plays an important role in ecological research by providing quantitative tools to model, analyze, and understand complex ecological systems. The interdisciplinary nature of applied mathematics in ecological research allows for a deeper understanding of the intricate relationships within ecosystems and aids in addressing pressing environmental challenges. In this issue, we delved into the intersection of applied mathematics and ecology through various research papers. We aim to offer valuable insights into the application of mathematical principles in understanding ecological phenomena.

Open Access

Editorial

Article ID: 1277

Brief introduction of articles in Volume 1, Issue 3
by Natalia Bebiano

Journal of AppliedMath, Vol.1, No.3, 2023; 35 Views, 26 PDF Downloads

DOI: https://doi.org/10.59400/jam.v1i3.1277

N/A

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Open Access

Article

Article ID: 129

The study of chaotic dynamics of an eco-epidemiological predator-prey model with alternative food
by Prodip Roy, Abhishek Sarkar, Kulbhushan Agnihotri, Krishna Pada Das

Journal of AppliedMath, Vol.1, No.3, 2023; 79 Views, 105 PDF Downloads

DOI: https://doi.org/10.59400/jam.v1i3.129

Parasites can alter the quality and quantity of participants. On the other hand, the spread of diseases between individuals or species is an important research topic. Here we consider a tritrophic food model in which bacteria spread among the animal's environment where other nutrients are present. We analyze the local stability of the model around the efficiency of the equation. We also report significant numbers of offspring in terms of ecology and disease and use these numbers to analyze community structure of the sample. We started from this situation as a model. Our numerical results show that at low infection level the body causes conflict, but at high infection level conflict prioritizes safety. Our findings therefore challenge previous models’ predictions that the parasite has a negative impact. We also looked at the impact of other foods on chaotic dynamics. When other nutrients increase, stress does not change, but when other nutrients decrease, chaos disappears and the disease among animals is eliminated from the body.

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Open Access

Article

Article ID: 194

Numerical investigation of heat and mass transfer of variable viscosity Casson nanofluid flow through a microchannel filled with a porous medium
by Lemi Guta Enyadene, Ebba Hindebu Rikitu, Adugna Fita Gabissa

Journal of AppliedMath, Vol.1, No.3, 2023; 121 Views, 21 PDF Downloads

DOI: https://doi.org/10.59400/jam.v1i3.194

Thermal behaviours and hydrodynamics of non-Newtonian nanofluids flow through permeable microchannels have large scale utilizations in industries, engineering, and biomedicine. Therefore, this paper presents the numerical investigation of heat and mass transfer of variable-viscosity Casson nanofluid flow through a porous medium microchannel with the Cattaneo-Christov heat flux theory. The highly nonlinear PDEs corresponding to the continuity, momentum, energy, and concentration equations are formulated and solved numerically via the second-order implicit finite difference scheme known as the Keller-Box method. Accordingly, the numerical simulations reveal that the variable viscosity parameter, thermal Grashof number, solutal Grashof number, thermophoresis parameter, Schmidt number, and Casson fluid parameter show increasing effects on both velocity and temperature of the nanofluid. Furthermore, the temperature profile escalates with increasing values of the Eckert number and the thermal relaxation time parameter. Thus, the Cattaneo-Christov heat flux model is beneficial in warming the transport system of microfluidics when compared to that of the classical Fourier heat conduction law. The temperature profile, however, indicates a retarding behavior with increasing values of the Brownian motion parameter, Prandtl number, and porous medium parameters, namely the Forchheimer number and porous medium shape parameter, and hence, the porous medium quite effectively controls the nanofluid temperature distribution, which plays substantial roles in cooling the transport system of microfluidics. Moreover, the concentration profile shows an increasing pattern with escalating values of the Prandtl number, Schmidt number, and thermophoresis parameter, but it demonstrates a decreasing trend with the Casson fluid, variable viscosity, thermal relaxation time, and solutal relaxation time parameters. It is also observed that the coefficient of skin friction increases with increasing values of the pressure gradient parameter, Eckert number, Forchheimer number, and injection/suction Reynolds number. Besides, the heat transfer rate at both walls of the microchannel increases with rising values of the Eckert number, variable viscosity, parameter, and injection/suction Reynolds number. The Casson fluid and thermal relaxation time parameters reveal opposite scenarios for the heat transfer rate at the left and right walls of the microchannel. In addition the mass transfer rate at both walls of the microchannel shows an increasing pattern as the Eckert number, variable viscosity parameter, Schmidt number, and suction/injection Reynolds number increase.

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Open Access

Article

Article ID: 199

The synergistic effect of the multiple parameters of vibro-impact nonlinear energy sink
by Petro Lizunov, Olga Pogorelova, Tetiana Postnikova

Journal of AppliedMath, Vol.1, No.3, 2023; 105 Views, 19 PDF Downloads

DOI: https://doi.org/10.59400/jam.v1i3.199

This article studies the dynamics and efficiency of a vibro-impact damper (single-sided vibro-impact nonlinear energy sink—SSVI NES) depending on the exciting force parameters. The damper is coupled with a linear oscillator—the primary structure. It is shown that the damper is quite effective in a wide range of the exciting force amplitude and in the range of its frequency, which are higher than the resonant frequency; damper efficiency in these regions is fairly stable. The dynamics of the vibro-impact system “primary structure—SSVI NES” is rich and complex, which, however, does not impair the damper efficiency. In complex oscillatory regimes, the damper makes bilateral impacts: it hits both an obstacle and directly against the primary structure, which actually turns a single-sided NES into a double‐sided one. The optimization procedure and the choice of optimal damper parameters play a very important role in damper design. Optimizing multiple damper parameters instead of three shows a synergistic effect and provides better results.

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Open Access

Article

Article ID: 303

Statistical analysis of melody lengths, note probabilities and note transitions of a bandish in raga Bihag
by Soubhik Chakraborty, Prerna Singh

Journal of AppliedMath, Vol.1, No.3, 2023; 79 Views, 63 PDF Downloads

DOI: https://doi.org/10.59400/jam.v1i3.303

Melody refers to a succession of musical notes that can be regarded as complete in a musical sense. For example, a line of a song or a raga bandish is a melody as it is complete. The number of notes in a melody is called its length. Unfortunately, the analysis of melody lengths is a neglected area in music research. Given that the significance of a melody in monophonic music (single melody line), such as Indian classical music is quantified by the product of the length of the melody and its frequency (number of occurrences in the musical piece), the novelty of our research lies in analysing the statistical features of lengths of a well-known bandish in raga Bihag . Additionally, the probability distribution of the notes is presented and a count of rising and falling note transitions in the sthayi and antara of the bandish is also taken. The experimental results are encouraging.

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Open Access

Article

Article ID: 246

Dynamics of insect predator and mosquito prey system with mutual interference as a factor for the co-occurrence: Validating through models
by Chandrani Mukherjee, Krishna Pada Das, Goutam Panigrahi

Journal of AppliedMath, Vol.1, No.3, 2023; 98 Views, 81 PDF Downloads

DOI: https://doi.org/10.59400/jam.v1i3.246

Several models have been proposed as an extension to the classical Holling’s disc equation to evaluate the predator and prey interactions and their applied aspects in biological control and population regulation of the target organisms. In a one-prey and two-predator dynamic system with mutual interference m as a quadratic parameter of predator density, an evaluation was made of the resultant impact on the prey. A simulation was carried out to see the finite-time extinction of prey and the stability of the system at origin, i.e., when all three species are extinct. We assumed the data obtained was for the interactions between the mosquito and the water bug predators that are common in the freshwater wetlands and involved in population regulation. Despite the benefits to the prey population due to interference and competition, the expected extinction of prey in a finite time is still observed. With varying magnitudes of m, the declining growth curve of the prey population shifted. The equation proposed was also compared with the Crowley-Martin functional response, and considerable differences were observed in selected instances when compared to the growth rate of the predators in a species-specific manner. The stability of the system was deduced from the eigenvalues of the Jacobian matrix at the origin to prove the extinction is stable. Our assessment supports the possible cooccurrence of predators and mosquito prey in the wetlands, with mutual interference being one of the major factors.

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Open Access

Review

Article ID: 91

Student satisfaction in higher education: A systematic review examining its impact on institutional growth and comparative dimensions
by Shahrukh Aman, Nosheen Aziz, Mohsin Abbas

Journal of AppliedMath, Vol.1, No.3, 2023; 535 Views, 26 PDF Downloads

DOI: https://doi.org/10.59400/jam.v1i3.91

The purpose of this comprehensive evaluation of the literature is to examine the connection between higher education institution expansion and student satisfaction (SS). The survey also aims to pinpoint the metrics being contrasted right now when gauging student happiness. The review summarizes recent scholarly publications, including books, conference papers, and journal articles. The results give insight into the comparative dimensions used in student satisfaction research and shed light on the influence of student satisfaction on the growth of higher education institutions.

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Editor-in-Chief

Assoc. Prof. Ahmad Zeeshan

International Islamic University, Pakistan

eISSN

2972-4805

Publication Frequency

Bi-monthly

About the Publisher

Academic Publishing insists on taking academic exchange and publication as the main line, carrying out comprehensive management based on science and technology, and fully exploring excellent international publishing resources. Within 5 years, it will form a strategic framework and scale with science (S), technology (T), medicine (M), education (E), and humanities and arts (H) as the main publishing fields. Academic Publishing is headquartered in Singapore and based in Malaysia, with the United States and China providing the main scientific and academic resources. At the same time, it has established long-term good cooperative relations with other publishing companies, scientific research communities, and academic organizations in more than a dozen countries and regions. Academic Publishing uses English and Chinese as its main publishing languages, mainly publishing books, journals, and conference papers in print and online. The vast majority of publications follow the international open access policy, providing stable and long-term quality and professional publications. With the joint efforts of the expert team and our professional editorial team, our publications will gradually be indexed by international databases in stages to provide convenient and professional retrieval for various scholars. At the same time, manuscripts we accept will be subject to the peer review principle, and cutting-edge and innovative research articles will be preferentially accepted for peer reference and discussion. All kinds of our publications are welcome for peer to contribute, access, and download.

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Volume Arrangement

2024

2023

Featured Articles

H∞ hybrid control and MRD in a steel frame building subjected to excessivevibrations caused by the dynamic action of wind and earthquake

The dynamic loads from earthquakes and winds can destroy lives, cause collapse in civil structures, and interrupt basic services provided to the population. In this scenario, structural designs must be developed to decrease the damage induced by these actions. The objective of this work is to design a hybrid controller based on the H∞ optimization via state feedback and the magneto-rheological damper (MRD) to mitigate the excessive vibrations of a three-story steel frame building, represented through the shear building model, subjected to the simultaneous dynamic action of wind and earthquake. All research is based on computational simulation, experimental research and results will not be addressed. In the numerical analysis, digital computer and MATLAB® software are used, and implemented codes generate the expected results based on the mathematical modeling. With the application of the H∞ control technique via state feedback, the displacements were reduced by 77%. With MRD this reduction was 79%. With the hybrid controller, this reduction was 100%. Thus, the verifications in relation to maximum displacements were met for NBR 15421:2006, NBR 8800:2008 and NBR 6118:2014. From the results, it is concluded that the hybrid controller proved to be more efficient and achieved the proposed objective. The exogenous inputs had zero influence on the behavior of the system output.

Topological analysis of multiple tables

The paper proposes a topological approach in order to explore several data tables simultaneously. These data tables of quantitative and/or qualitative variables measured on different homogeneous themes, collected from the same individuals. This approach, called topological analysis of multiple tables (TAMT), is based on the notion of neighborhood graphs in the context of a joint analysis of several data tables. It allows the simultaneous study of possible links between several thematic tables. The structure of the correlations or associations of the variables in each thematic table is analyzed according to quantitative, qualitative or mixed variables considered. Like the multiple factorial analysis (MFA), the TAMT allows several tables of variables to be analyzed simultaneously, and to obtain results, in particular graphical representations, which make it possible to study the relationship between individuals, variables and tables of data. These can also be tables of temporal data, collected at different times on the same individuals. The proposed TAMT approach is illustrated using real data associated with several and different homogeneous themes. Its results are compared to those from the MFA method.

Development of a stacked hybrid Decision Tree model leveraging the NSL-KDD dataset

Intrusion detection in information technology as well as operational technology networks is highly required in modern day systems due to the increased spate of cyber-attacks in both number and complexity. Anomaly-based intrusion detection systems which have the capacity to detect novel or zero-day attacks are highly employed in this regard. One important component of anomaly-based intrusion detection systems which ensures their behaviour is artificial intelligence in general and machine learning in particular. The burden in modern day cybersecurity research is to investigate and develop models that can outperform existing ones. This paper is aimed at developing a hybrid decision tree model using the stacking ensemble approach. Performances were measured on the basis of recall, precision, accuracy, F1-score, receiver operating characteristics and confusion matrices. The hybrid model presented a precision of 97%, accuracy of 81%, F1-score of 80% and AUC score of 0.96, respectively.

The synergistic effect of the multiple parameters of vibro-impact nonlinear energy sink

This article studies the dynamics and efficiency of a vibro-impact damper (single-sided vibro-impact nonlinear energy sink—SSVI NES) depending on the exciting force parameters. The damper is coupled with a linear oscillator—the primary structure. It is shown that the damper is quite effective in a wide range of the exciting force amplitude and in the range of its frequency, which are higher than the resonant frequency; damper efficiency in these regions is fairly stable. The dynamics of the vibro-impact system “primary structure—SSVI NES” is rich and complex, which, however, does not impair the damper efficiency. In complex oscillatory regimes, the damper makes bilateral impacts: it hits both an obstacle and directly against the primary structure, which actually turns a single-sided NES into a double‐sided one. The optimization procedure and the choice of optimal damper parameters play a very important role in damper design. Optimizing multiple damper parameters instead of three shows a synergistic effect and provides better results.

Optimization imposition upon drone gimbal control electronics

The goal of the manuscript is to design a relatively good control structure for the noise suppression of a drone’s camera gimbal action. The gimbal’s movement can be simplified as a rest-to-rest reorientation system that can achieve the boundary result of a dynamic system. Six different control architectures are proposed and evaluated based on their ability to control the trajectory of the dynamic-system position and speed, their running time, and their quadratic cost. The robustness of the control architecture to uncertainties in inertia and sensor noise is also analyzed. Monte Carlo figures are used to assess the performance of the six control systems. The conditions for applying different architectures are identified through this analysis. The analysis and experimental tests reveal the most suitable control of the drone’s camera gimbal rotation.