Open Access
·pp. i–viii·Vol. 29, Issue 10Oct 2026
Ramesh Chandra Poonia, Kamal Upreti, Rama Kiran Kumar Indrakanti, Srinivasa Rao Adapa, Rajesh Kumar, Diksha Dani
Published Online: 27 Oct 2026DOI: 10.47974/JIM-29-10-Foreword In this paper: This special issue entitled “Advances in Mathematical Modelling, Differential Equations, and Dynamical Systems” compiles a variety of research papers that illustrate the ongoing development of mathema...
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Open Access
Research Article·pp. 2865–2878·Vol. 29, Issue 10Oct 2026
Vikrant Pawar, A. K. Bhuvaneswari, Payal Singh, Lulup Kumar Sahoo, Surayyo Khasanova, Komal Parashar, Yodgor Kenjaev
Published Online: 27 Oct 2026DOI: 10.47974/JIM-2804 In this paper: The quantitative prediction of neurodegenerative diseases is difficult because they show progressive loss of neurons that is accompanied by complex interactions between protein aggregation, neuroinfla...
Open Access
Research Article·pp. 2879–2889·Vol. 29, Issue 10Oct 2026
Manish K. Assudani, Dheeraj Mane, Rahul Kumar Singh, Jyoti Upadhyay, Vaishali Sunilsingh Bayas, Rakhimova Kholiskhon, Inoyatillo Kholmurodov
Published Online: 27 Oct 2026DOI: 10.47974/JIM-2805 In this paper: Epigenetic Regulation is the way that expression of genes is controlled by the reversible modification of DNA, modification of histones, chromatin remodeling and interaction with non-coding RNA so tha...
Open Access
Research Article·pp. 2891–2904·Vol. 29, Issue 10Oct 2026
Payal Singh, Sachin Pawar, Vinay Kumar Sadolalu Boregowda, Aashim Dhawan, Farhat Anjum, Bobojonova Khulkar Madrahimovna, Dilnoza Aminova
Published Online: 27 Oct 2026DOI: 10.47974/JIM-2806 In this paper: Impaired pulmonary gas exchange in respiratory diseases is caused by a large extent by the physiological mechanism of ventilation–perfusion (V/Q) mismatch. This study is aimed at developing a mathemat...
Open Access
Research Article·pp. 2905–2916·Vol. 29, Issue 10Oct 2026
Rahul Thakur, Saumya Goyal, Tanveer Ahmad Wani, Subramanian Karthick, D. Balaji, Surayyo Khasanova, Samariddin Makhmudov
Published Online: 27 Oct 2026DOI: 10.47974/JIM-2807 In this paper: Insider threats are among the most complex cybersecurity threats as trusted employees can be intentional or unintentional threats to the organization. This study proposes a differential equation model...
Open Access
Research Article·pp. 2917–2928·Vol. 29, Issue 10Oct 2026
M. Thamizhsudar, Satya Ranjan Das, Manisha Chandna, Saurabh Gupta, Tanya Singh, D. Prakasa Rao, Angajala Rama Krishna
Published Online: 27 Oct 2026DOI: 10.47974/JIM-2808 In this paper: Multiscale mathematical models offer a mathematically sound basis to study heat transport phenomena in the nanoscale range for which classical continuum-based models are not applicable. In this study,...
Open Access
Research Article·pp. 2929–2944·Vol. 29, Issue 10Oct 2026
Swapnali Makdey, Machindranath B. Diwate, Sangram Patil, Avinash B. B. Raut, Vijaya Sagvekar, Ninad More
Published Online: 27 Oct 2026DOI: 10.47974/JIM-2809 In this paper: To accurately model global illumination, light transport, shadow formation and surface interaction in a complex geometry, mathematically accurate physical models are required for advanced rendering in...
Open Access
Research Article·pp. 2945–2956·Vol. 29, Issue 10Oct 2026
Satish V. Kakade, Rahul Mishra, Swapnil Chaudhary, H. Savithri, Madhur Taneja, Makineedi Raja Babu, Vinod Kumar Naidu Pamuluri
Published Online: 27 Oct 2026DOI: 10.47974/JIM-2836 In this paper: Nonlinear interactions and temporal evolution in a biological system can be mathematically modeled by differential equations and can be analysed quantitatively. Combining biologically relevant growth,...
Open Access
Research Article·pp. 2957–2968·Vol. 29, Issue 10Oct 2026
Uma Bhardwaj, Sushama Patwardhan, Dinesh Potdar, Chirag R. Trivedi, Abhiraj Malhotra, Adya Kinkar Panda
Published Online: 27 Oct 2026DOI: 10.47974/JIM-2811 In this paper: Inverse modelling techniques have been introduced as a key tool in medical image reconstruction to reconstruct internal anatomical and physiological structures from indirect measurement data from imag...
Open Access
Research Article·pp. 2969–2981·Vol. 29, Issue 10Oct 2026
Juginder Pal Singh, Mahesh Kurulekar, Rahul Kumar Singh, Tarun Kapoor, D. Ganesh, B. Gayathri
Published Online: 27 Oct 2026DOI: 10.47974/JIM-2812 In this paper: A mathematically coherent approach to the stability of orbits in astrophysical problems, that preserves the energy and the symplectic structure of the equations of motion is called Hamiltonian flow an...
Open Access
Research Article·pp. 2983–2994·Vol. 29, Issue 10Oct 2026
Yazdani Hasan, Suhas Bhise, Wamika Goyal, Chandra Sekhar Koppireddy, S. D. Ahmeduddin, Tirukoti Sudha Rani
Published Online: 27 Oct 2026DOI: 10.47974/JIM-2813 In this paper: The high energy particle interactions are very complex phenomena, characterized by nonlinear, partial differential equations, and require very accurate numerical methods to simulate these phenomena re...
Open Access
Research Article·pp. 2995–3007·Vol. 29, Issue 10Oct 2026
Srikanta Kumar Sahoo, Aseem Aneja, Ramachandran Thulasiram, Nikhil Govil, Shoyimkulov Asror, Anorgul Ashirova, P. Jeyanthi
Published Online: 27 Oct 2026DOI: 10.47974/JIM-2814 In this paper: In the field of high dimensional computer vision problems, the feature redundancy, high computation complexity and multidimensional structural loss are responsible for low recognition rates. This stud...
Open Access
Research Article·pp. 3009–3020·Vol. 29, Issue 10Oct 2026
Ritesh Shrivastav, Mukesh G. Ghogare, Ashwini Rajendra Pawar, Nilima Patil, Nair Pratap Premchandran, Dilmurod Turaev, Abdullayeva Nilufar
Published Online: 27 Oct 2026DOI: 10.47974/JIM-2815 In this paper: With the increasing popularity of human–robot interaction (HRI), control systems are becoming more and more interesting and complicated because they need to coordinate continuous human movements and d...
Open Access
Research Article·pp. 3021–3032·Vol. 29, Issue 10Oct 2026
Vikramsinha V. Mane, Kapil Mundada, Manoj I. Patel, Danish Kundra, Shubhi Goyal, Bathala Balaji, Shailesh Solanki
Published Online: 27 Oct 2026DOI: 10.47974/JIM-2816 In this paper: Rotor–fuselage coupling is a fundamental phenomenon that is essential for understanding helicopter dynamic behaviour, vibration characteristics, flight stability and integrity under various operating...
Open Access
Research Article·pp. 3033–3046·Vol. 29, Issue 10Oct 2026
Tanveer Ahmad Wani, Nitish Bhardwaj, Smita Tolani, Sanjay Oli, Praveen Priyaranjan Nayak, Loganathan, S. R. Likhith
Published Online: 27 Oct 2026DOI: 10.47974/JIM-2817 In this paper: With the increasing popularity of human–robot interaction (HRI), control systems are becoming more and more interesting and complicated because they need to coordinate continuous human movements and d...
Open Access
Research Article·pp. 3047–3058·Vol. 29, Issue 10Oct 2026
Anusha Sreeram, Bipin Sule, Honganur Raju Manjunath, Prerak Sudan Chitkara University, Puneet Kumar Yadav, Anorgul Ashirova, Khayrilla Kurbonov
Published Online: 27 Oct 2026DOI: 10.47974/JIM-2818 In this paper: In the field of scientific and engineering applications, as well as biomedical and artificial intelligence applications, high-dimensional clustering analysis is very important in order to extract mean...
Open Access
Research Article·pp. 3059–3070·Vol. 29, Issue 10Oct 2026
Aravindan Munusamy Kalidhas, Nittin Sharma, Vimal Bibhu, Shailesh Kulkarni
Published Online: 27 Oct 2026DOI: 10.47974/JIM-2819 In this paper: Digital, computational and engineering applications use the powerful framework of discrete dynamical systems on finite state spaces to model efficiently processes with deterministic or rule based dyna...
Open Access
Research Article·pp. 3071–3082·Vol. 29, Issue 10Oct 2026
Takveer Singh, Samaksh Goyal, Pramod Reddy
Published Online: 27 Oct 2026DOI: 10.47974/JIM-2820 In this paper: The continuity and compactness properties do not directly characterize finite adjacency structures, making the problems of fixed point analysis in finite discrete spaces challenging. This paper puts f...
Open Access
Research Article·pp. 3083–3095·Vol. 29, Issue 10Oct 2026
D. Ganesh, M. Sudharsan, I. Katharaj, Samir N. Ajani, Saksham Sood, Rupesh Mishra
Published Online: 27 Oct 2026DOI: 10.47974/JIM-2821 In this paper: Attack surfaces are becoming dynamic, communications are increasingly encrypted and coordinated attacks are growing in complexity, creating more challenges for modern network security; traditional gra...
Open Access
Research Article ·pp. 3097–3107·Vol. 29, Issue 10Oct 2026
S. Pugazhendhi, Neha Rana, Chidambar Jalkute, Vikas Dilliwar, Kapil Mundada, Ayush Gandhi, M. Gayathri
Published Online: 27 Oct 2026DOI: 10.47974/JIM-2822 In this paper: The mathematical modelling of biological systems with multiple components provides a systematic solution to the study of the nonlinear interactions, regulatory mechanisms and dynamic behaviours of tho...
Open Access
Research Article·pp. 3109–3121·Vol. 29, Issue 10Oct 2026
Vaishali Latke, Radha Chauhan, Chandrashekhar Ramesh Ramtirthkar, Mayank Srivastava, Dikshit Sharma, A. Saravanan, Bogolu Rupa
Published Online: 27 Oct 2026DOI: 10.47974/JIM-2823 In this paper: The dynamics of biological populations is a complex process that includes selection, mutation, inheritance, migration and random genetic variation, and predicting the dynamics is difficult. The issue...
Open Access
Research Article·pp. 3123–3134·Vol. 29, Issue 10Oct 2026
Pallavi Vilas Mhaske, Namrata Gawande, Mehru Salahuddin Tahsildar, Rahuk Kumar Singh, Jyotsna Suryavanshi, P. Sumasree, Indresh Yadav
Published Online: 27 Oct 2026DOI: 10.47974/JIM-2824 In this paper: Growth of tumors is a complex process that is regulated by cellular proliferation, the availability of nutrients and the development of blood vessels, as well as by the tumor’s environment. This resea...
Open Access
Research Article·pp. 3135–3148·Vol. 29, Issue 10Oct 2026
Bipin Sule, Mahendra Alate, Uma Bhardwaj, Kavita Prasad, Vinay Shivajirao Nalawade, Sorabh Sharma, Brijeshkumar M. Patel
Published Online: 27 Oct 2026DOI: 10.47974/JIM-2825 In this paper: Comparative genomic analysis is hindered by the ability to identify conserved regions, variations in evolution, and functional differences in the genome in large and heterogeneous sequence datasets. I...
Open Access
Research Article·pp. 3149–3159·Vol. 29, Issue 10Oct 2026
Rohit P Jadhav, Deepak Pandey, Ergashev Nuriddin, Pulatova Shaxzoda, Dildora Abdumadjidova, Pawan Wawage, A Phani Bhaskar
Published Online: 27 Oct 2026DOI: 10.47974/JIM-2826 In this paper: Decision-making is a basic cognitive function that includes alternative assessment, the incorporation of information and choosing an appropriate action when uncertainty exists. In this study, the math...
Open Access
Research Article·pp. 3161–3172·Vol. 29, Issue 10Oct 2026
Vasundhara V. Ghorpade, Suhas Gupta, Chinmay Chandrakar, Subramanian Karthick, Vinay Shivajirao Nalawade, Kumel K. Nagori
Published Online: 27 Oct 2026DOI: 10.47974/JIM-2827 In this paper: In the contemporary healthcare landscape, mathematics is integral, offering systematic solutions and frameworks for modeling biological processes, analyzing clinical data, optimizing treatment strateg...
Open Access
Research Article·pp. 3173–3182·Vol. 29, Issue 10Oct 2026
Lakhwinder Kaur, K. Prakash, Tannmay Gupta, H. D. Raghavendra Prasad, Soatmurod Boykobilov, Ilhamdjan Asamovich Karimdjanov
Published Online: 27 Oct 2026DOI: 10.47974/JIM-2828 In this paper: Population dynamics are used to give a mathematical explanation to changes in biological populations where they grow, compete, are limited by resources and affected by the environment. In this study,...
Open Access
Research Article·pp. 3183–3194·Vol. 29, Issue 10Oct 2026
D. Sathis Kumar, Rameshwar D. Chintamani, Dheeraj Kalra, Satyadharma Bharti, Pallavi M. Tekade, Romya Singh, Shwetambari Pandurang Katake
Published Online: 27 Oct 2026DOI: 10.47974/JIM-2829 In this paper: A growing need in the field of cognitive science is to develop mathematical tools that relate the functioning of the brain to perception, memory, learning and decision making. In this study, an integr...
Open Access
Research Article·pp. 3195–3206·Vol. 29, Issue 10Oct 2026
Vasundhara V. Ghorpade, Suraj Bhan, Shobhit Goyal, Namrata Verma, Sachin Mittal, Gujjala Srinath, Vikram V. Patel
Published Online: 27 Oct 2026DOI: 10.47974/JIM-2830 In this paper: Quantitative modeling, analysis, prediction and interpretation are valuable interdisciplinary tools for understanding complex biological systems that can be provided by mathematics. This study is dedi...
Open Access
Research Article·pp. 3207–3218·Vol. 29, Issue 10Oct 2026
R. Harshini, Amit Gaurav, Suhas Bhise, Nimesh Raj, Bhawna Janghel Rajput, S. Gayathri
Published Online: 27 Oct 2026DOI: 10.47974/JIM-2831 In this paper: Mathematical approaches are increasingly used in the field of computational biology to describe, analyze, and predict complex biological phenomena at molecular, cellular and population scales. This st...
Open Access
Research Article·pp. 3219–3229·Vol. 29, Issue 10Oct 2026
Supriya Kumbhar, Shriraghavan Madbushi, Shraddha Gugulothu, B. Yamuna, Varsha Yadav, Jyotsna Suryavanshi, M. Sreenivasa Reddy
Published Online: 27 Oct 2026DOI: 10.47974/JIM-2832 In this paper: Interactions occur between vehicle density, velocity, traffic demand and roadway capacity, creating complex, nonlinear traffic flow dynamics. This research proposes a mathematical modelling and simula...
Open Access
Research Article·pp. 3231–3243·Vol. 29, Issue 10Oct 2026
Amanveer Singh, Chirag R. Trivedi, Samir N. Ajani, V. Selva Sharmila, Vaishali Sunilsingh Bayas, Shweta Bandhekar, Delsy Jyothi
Published Online: 27 Oct 2026DOI: 10.47974/JIM-2833 In this paper: The behavior of nonlinear dynamical systems is complex and demands systematic mathematical tools to understand their stability, transitions and the dependence of the behavior on the parameters of the...
Open Access
Research Article·pp. 3245–3256·Vol. 29, Issue 10Oct 2026
Kailas Datkhile, Mrudul Y. Jani, S. Deepthi, Senthil Jayapalan, D. Anandhi, Deo Narayan Dewangan, N. Selvamalar
Published Online: 27 Oct 2026DOI: 10.47974/JIM-2834 In this paper: Epidemic outbreaks are characterized by complex nonlinear dynamics, with the effects of transmission, recovery, population interactions and interventions. This study introduces a framework for the mod...
Open Access
Research Article·pp. 3257–3268·Vol. 29, Issue 10Oct 2026
Tanveer Ahmad Wani, Satish V. Kakade, Manjusha Tomar, Sanjay G. Sakharwade, Mridula Gupta, M. Raghavendra, A. Saravanan
Published Online: 27 Oct 2026DOI: 10.47974/JIM-2835 In this paper: The spread of an epidemic is a complex nonlinear process that is affected by the process of transmission, the process of recovery, the interaction of the population and the temporal variation in the e...
Open Access
Research Article·pp. 3269–3280·Vol. 29, Issue 10Oct 2026
Swapnali Makdey, Avinash B. Raut, Mahadev N. Chougule, Machindranath B. Diwate, Vijaya Sagvekar, Ninad More
Published Online: 27 Oct 2026DOI: 10.47974/JIM-2810 In this paper: By introducing finite propagation speeds and wave-like magnetic transport effects, hyperbolic partial differential equation (PDE) models are very useful in describing the behaviour of the magnetic fie...
