D Bhanu Prakash
PhD in Applied Mathematics, Sri Sathya Sai Institute of Higher Learning, India
The Academic Arc
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
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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 -
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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