D Bhanu Prakash - Personal Portfolio

The Academic Arc

Timeline: March 2021 - Sept 2025

Doctor of Phiolosophy (PhD) Completed

Hello everyone, I have successfully defended my doctoral thesis on September 19, 2025, culminating in the award of my PhD degree. My research focused on Deterministic and Stochastic Dynamics and Control of Additional Food Provided Prey-Predator Systems, contributing new insights to Mathematical Ecology. I thank Prof. Olcay Akman and Prof. Mini Ghosh for reviewing my thesis. This milestone reflects years of rigorous study, experimentation, and scholarly dedication, and I look forward to advancing research and knowledge in my discipline.

Timeline: June 2025 - Ongoing

Assistant Professor in Mathematics

Hello everyone, I’m delighted to share that I have joined the Vignan's Foundation for Science, Technology and Research, Guntur, Andhra Pradesh, India as an Assistant Professor in the Department of Mathematics and Statistics. As part of my teaching responsibilities, I will be offering the following courses in this semester.

Excited to embark on this new journey of learning and teaching!

Timeline: March 2021 - May 2025

Submitted PhD Thesis

Submitted my PhD thesis titled “Dynamics and Control of Additional Food Provided Prey-Predator Systems: A Deterministic and Stochastic Study with reference to Holling Type-III/IV Responses Incorporating Mutual Interference and Intraspecific Competition” under the supervision of Dr. Krishna Kiran Vamsi Dasu. The research was conducted at Sri Sathya Sai Institute of Higher Learning, India, focusing on mathematical modeling and ecological dynamics. Thesis submission was completed in May, 2025, marking a major step in my doctoral journey.

Timeline: May 8-10, 2025

Resource Person for FDP at MITE

Invited as a resource person for a Faculty Development Program on “Statistical Process Design using R & Python” at Mangalore Institute of Technology & Engineering (MITE), Karnataka in May 8-10, 2025. Conducted a 4-hour lecture and hands-on session on Stochastic Processes and Multivariate Analysis. It was a meaningful opportunity to contribute to faculty enrichment and peer learning at MITE.

Timeline: October 2021 - September 2024

Completed 3-Year NBHM Research Project

Successfully completed a 3-year Research Fellowship under the project titled "Time Optimal Control Studies and Bifurcation Analysis of Coupled Nonlinear Dynamical Systems with Applications to Pest Management" by Department of Atomic Energy - National Board of Higher Mathematics (DAE-NBHM), Government of India at Sri Sathya Sai Institute of Higher Learning. The fellowship, from October 2021 to September 2024, involved in-depth work in mathematical modeling and ecological dynamics. The experience deepened my expertise in nonlinear dynamical systems and resulted in 2 journal publications, 3 international conference talks and findings related to pest management strategies.

Recent Publications

Deterministic and Stochastic Studies on Additional Food Provided Prey-Predator Systems with Group Defence among Prey and Mutual Interference among Predators

D Bhanu Prakash and D K K Vamsi. (2025). Under review.

The influence of competition and additional food on prey-predator dynamics has attracted considerable interest from mathematical biology researchers in recent times. In this study, we consider an additional food provided prey-predator model exhibiting Holling type-IV functional response among mutually interferring predators. We show that the findings of these deterministic and stochastic dynamics and control studies have the potential to be applied to a variety of problems in pest management.
Preprint on arXiv
Global dynamics and time-optimal control studies for additional food provided holling type-III mutually interfering prey-predator systems with applications to pest management

D Bhanu Prakash and D K K Vamsi. (2025). Discover Applied Sciences, Springer Nature.

We develop and analyze a prey–predator model with Holling type-III functional response, incorporating additional food and mutual interference among predators. Our work investigates how external food supplementation and predator competition affect pest dynamics and predator efficiency under optimal control frameworks. We establish the model’s positivity, boundedness, equilibria, stability, and explore global dynamics through numerical simulations. Using time-optimal control, we demonstrate that strategic food provisioning can drive prey elimination, offering insights for sustainable pest management.
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Stochastic time-optimal control and sensitivity studies for additional food provided prey-predator systems involving Holling type-IV functional response

D Bhanu Prakash and D K K Vamsi. (2025). Frontiers in Applied Mathematics and Statistics

This paper presents a comprehensive study on the stochastic time-optimal control of additional food provided prey-predator systems exhibiting Holling type-IV functional response and intra-specific competition among predators. We investigate the sensitivity of the system to various parameters and provide insights into the optimal management of such ecological models.
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