Editorial for the Special Issue: Recent trends in mathematical Biology – Theory, methods, and applications

List of Guest Editors:

Lead Guest Editor

Dr. Krishna Kiran Vamsi Dasu

Coordinator, Centre for Excellence in Mathematical Biology (CEMB), Sri Sathya Sai Institute of Higher Learning (SSSIHL), India – coordinator.cemb@sssihl.edu.in

Department of Mathematics and Computer Science, Sri Sathya Sai Institute of Higher Learning (SSSIHL), India – dkkvamsi@sssihl.edu.in

Guest Editors

Dr. Muthu Poosan Moopanar, Department of Mathematics, National Institute of Technology (N.I.T.), India – pm@nitw.ac.in

Dr. Jai Prakash Tripathi, Department of Mathematics, Central University of Rajasthan, India – jaiprakash_math@curaj.ac.in

Dr. Ram Singh, School of Engineering and Technology, BGSB University, India – rsingh@bgsbu.ac.in

Scope of the Special Issue

The special issue Recent Trends in Mathematical Biology – Theory, Methods, and Applications delves into the latest developments at the intersection of mathematics and biology. As biological systems become more complex and the available data are more abundant, the role of mathematical modeling, computational tools, and quantitative approaches is pivotal in unraveling the intricacies of life sciences. This issue invites contributions that bridge theoretical advancements with real-world applications, offering new perspectives on critical biological phenomena.

The “National Conference on Recent Trends in Mathematical Biology – Theory, Methods, and Applications” is being organized by the Department of Mathematics and Computer Science (DMACS), Sri Sathya Sai Institute of Higher Learning (SSSIHL), A.P., India during July 20–22, 2023 at the Prasanthi Nilayam Campus.

The main focus of this In-Person conference is to provide a stage for the sharing of knowledge regarding the development of mathematical models in biological systems, tools, and techniques used for the qualitative study of the systems.

This conference will provide a vibrant platform to bring together the scientists, researchers, educators, and PG students across academia, corporate organization and industry to exchange valuable ideas and impart guidelines on technical research and developments. Thus, the conference intends to bring together the best minds across the country to cover all the aspects of biomathematics from a multi-disciplinary perspective, in view of NEP-2020.

Based on talks to be presented in this conference, research articles pertaining to these talks will also be published in this special issue.

Key areas of focus include the following:

• Mathematical Biology

• Mathematical Modelling: Ecology and Epidemiology

• Computational Modelling

• Parameter Estimation

• Predicative Analytics

• Uncertainty

Table of Contents

1. “Behaviour of solutions of a discrete population model with mutualistic interaction” by Sibi C. Babu, D. S. Dilip, Smitha Mary Mathew

   https://doi.org/10.1515/cmb-2023-0121

2. “Influence of media campaigns efforts to control spread of COVID-19 pandemic with vaccination: A modelling study” by Sandhya Rani Verma, Vinay Verma, Rachana Pathak, Manju Agarwal, Ram Naresh

   https://doi.org/10.1515/cmb-2023-0107

3. “Optimal control and bifurcation analysis of SEIHR model for COVID-19 with vaccination strategies and mask efficiency” by Poosan Moopanar Muthu, Anagandula Praveen Kumar

   https://doi.org/10.1515/cmb-2023-0113

4. “A mathematical study of the adrenocorticotropic hormone as a regulator of human gene expression in adrenal glands” by A. Manickam, A. Benevatho Jaison, D. Lakshmi, Ram Singh, C. T. Dora Pravina

   https://doi.org/10.1515/cmb-2023-0122

5. “On building machine learning models for medical dataset with correlated features” by Debismita Nayak, Sai Lakshmi Radhika Tantravahi

   https://doi.org/10.1515/cmb-2023-0124

6. “Analysis and numerical simulation of fractional-order blood alcohol model with singular and non-singular kernels” by Amit Prakash, Neha Kalyan, Sanjeev Ahuja

   https://doi.org/10.1515/cmb-2024-0001

7. “Stability and bifurcation analysis of a nested multi-scale model for COVID-19 viral infection” by Bishal Chhetri, Krishna Kiran Vamsi Dasu

   https://doi.org/10.1515/cmb-2024-0006

8. “Augmenting heart disease prediction with explainable AI: A study of classification models” by Raja Rani Titti, Shalini Pukkella, Tantravahi Sai Lakshmi Radhika

   https://doi.org/10.1515/cmb-2024-0004

9. “Robust H__∞ filter based functional observer design for descriptor systems: An application to Cardiovascular system monitoring” by Pabitra Tunga, Juhi Jaiswal, and Nutan K. Tomar

   https://doi.org/10.1515/cmb-2024-0013

10. “Plankton interaction model: Effect of prey refuge and harvesting” by Poulomi Basak, Satish Kumar Tiwari, Jai Prakash Tripathi, Vandana Tiwari, Ratnesh Kumar Mishra

    https://doi.org/10.1515/cmb-2024-0011

11. “Modelling the leadership role of police in controlling COVID-19” by Vikram Singh, Shikha Kapoor, Sandeep kumar Gupta, Sandeep Sharma

    https://doi.org/10.1515/cmb-2024-0010

Conclusion

This special issue showcases how mathematical frameworks and tools continue to drive breakthroughs in biological research. By integrating theory with experimental data and real-world applications, these papers push the boundaries of what we can achieve through interdisciplinary collaboration. We are confident that the ideas and methodologies presented here will inspire future research and foster further connections between mathematics and life sciences.