activity
20212024
collaborators

5 papers

math.DS2024

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, D K K Vamsi

In this study, we investigate a prey-predator model exhibiting Holling type-III functional response among mutually interfering predators to assess the effects of provision of addit…

math.OC2023

Time-Optimal Control Studies for Additional Food provided Prey-Predator Systems involving Holling Type-III and Holling Type-IV Functional Responses

D Bhanu Prakash, D K K Vamsi

In recent years, time-optimal control studies on additional food provided prey-predator systems have gained significant attention from researchers in the field of mathematical biol…

math.OC2023

A Study of Qualitative Correlations Between Crucial Bio-markers and the Optimal Drug Regimen of Type-I Lepra Reaction: A Deterministic Approach

Dinesh Nayak, A. V. Sangeetha, D. K. K. Vamsi

Mycobacterium leprae is a bacteria that causes the disease Leprosy (Hansen's disease), which is a neglected tropical disease. More than 200000 cases are being reported per year wor…

math.DS2022

A Comprehensive and Detailed Within-Host Modeling Study involving crucial Bio markers and Optimal Drug regimen for Lepra Type-I Reaction : A Deterministic Approach

Dinesh Nayak, Bishal Chhetri, D. K. K. Vamsi +2

Leprosy (Hansen's disease) is an infectious, neglected tropical disease caused by the Mycobacterium Leprae (M. Leprae). Each year there are approximately 2,02,189 new cases are det…

math.DS2021

Time Optimal Control Studies on COVID-19 Incorporating Adverse Events of the Antiviral Drugs

Bishal Chhetri, Vijay M. Bhagat, Swapna Muthusamy +3

In this study, we first develop SIV model by incorporating the intercellular time delay and analyze the stability of the equilibrium points. The model dynamics admits disease-free…