6 citations · 16 across the 14 of their papers we have counts for
15 papers
Deterministic and Stochastic Studies on Additional Food Provided Prey-Predator Systems with Group Defence among Prey and Mutual Interference among Predators
D Bhanu Prakash, D K K Vamsi
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,…
Dynamics and Control of Additional Food Provided Prey-Predator Systems exhibiting Holling Type-III Functional Response and Intra-specific Competition among Predators
D Bhanu Prakash, D K K Vamsi
The dynamics of predator-prey systems influenced by intra-specific competition and additional food resources have increasingly become a subject of rigorous study in the realm of ma…
Role of Intra-specific Competition and Additional Food on Prey-Predator Systems exhibiting Holling Type-IV Functional Response
D Bhanu Prakash, D K K Vamsi
In recent years, the study on the impact of competition on additional food provided prey-predator systems have gained significant attention from researchers in the field of mathema…
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…
A Study of Quantitative Correlations Between Crucial Bio-markers and the Optimal Drug Regimen of Type-I Lepra Reaction
CH Ramanjaneyulu, Dinesh Nayak, D K K Vamsi
Leprosy (Hansen's) is a disease caused by Mycobacterium leprae. This disease slowly leads to occurrence of leprae reactions which mainly damage peripheral nervous system which caus…
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…
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…
Stochastic Time-Optimal Control Studies for Additional Food provided Prey-Predator Systems involving Holling Type-IV Functional Response
D Bhanu Prakash, D K K Vamsi
We consider an additional food provided prey-predator model exhibiting Holling type IV functional response with combined continuous white noise and discontinuous Lévy noise. We pro…
Stochastic Optimal and Time-Optimal Control Studies for Additional Food provided prey-predator Systems involving Holling Type-III Functional Response
D. Bhanu Prakash, D. K. K. Vamsi
This paper consists of a detailed and novel stochastic optimal control analysis of a coupled non-linear dynamical system. The state equations are modeled as additional food provide…
A Mathematical Modeling Study of COVID-19 With Reference to Immigration from Urban to Rural Population
D. K. K. Vamsi, C. Bishal Chhetri, D. Bhanu Prakash +2
In this study, we have formulated and analyzed a non-linear compartmental model (SEIR) for the dynamics of COVID-19 with reference to immigration from urban to rural population in…
A Nested Multi-Scale Model for COVID-19 Viral Infection
Bishal Chhetri, D. K. K Vamsi, Carani Sanjeevi
In this study, we develop and analyze a nested multi-scale model for COVID -19 disease that integrates within-host scale and between-host scale sub-models. First, the well-posednes…
The Impact of Temperature and Isolation on COVID-19 in India: A Mathematical Modelling approach
D Bhanu Prakash, Bishal Chhetri, D K K Vamsi +2
The dynamics of COVID-19 in India are captured using a set of delay differential equations by dividing a constant population into six compartments. The equilibrium points are calcu…
Control Intervention Strategies for Within-Host, Between-Host and their Efficacy in the Treatment, Spread of COVID-19 : A Multi Scale Modeling Approach
Bhanu Prakash D, D. K. K. Vamsi, D. Bangaru Rajesh +1
The COVID-19 pandemic has resulted in more than 14.5 million infections and 6,04,917 deaths in 212 countries over the last few months. Different drug intervention acting at multipl…
Optimal Drug Regimen and Combined Drug Therapy and its Efficacy in the Treatment of COVID-19 : An Within-Host Modeling Study
Bishal Chhetri, Vijay M. Bhagat, D. K. K. Vamsi +5
The COVID-19 pandemic has resulted in more than 30.35 million infections and 9, 50, 625 deaths in 212 countries over the last few months. Different drug intervention acting at mult…
Crucial Inflammatory Mediators and Efficacy of Drug Interventions in Pneumonia Inflated COVID-19: An Invivo Mathematical Modelling Study
Bishal Chhetri, D. K. K. Vamsi, Vijay M. Bhagat +5
The virus SARS-COV-2 caused disease COVID-19 has been declared a pandemic by WHO. Currently, over 210 countries and territories have been affected. Careful, well-designed drugs and…