T. MEGALA

@researcher

Research Scholar, Department of Mathematics
Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore, INDIA.

T. MEGALA


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https://researchid.co/megala_princess_369
Ph.D in Mathematics

RESEARCH, TEACHING, or OTHER INTERESTS

Modeling and Simulation, Hepatology, Ecological Modeling, Applied Mathematics
6

Scopus Publications

35

Scholar Citations

5

Scholar h-index

Scopus Publications

  • Dynamics of re-infection in a Hepatitis B Virus epidemic model with constant vaccination and preventive measures
    Thangavel Megala, Thangaraj Nandha Gopal, Manickasundaram Siva Pradeep, Muthurathinam Sivabalan, Arunachalam Yasotha
    Journal of Applied Mathematics and Computing, 2025
  • Dynamical Behaviorism of Hepatitis B Epidemic Model with Crowley-Martin Perspective
    Thangavel Megala, Thangaraj Nandha Gopal, Yasir Khan, Manicksindaram Siva Pradeep, Muthuradhinam Sivabalan, et al.
    Boletim Da Sociedade Paranaense De Matematica, 2025
    Hepatitis B Virus (HBV) poses a significant global health threat due to its ability to cause chronic liver inflammation, leading to severe complications such as cirrhosis and liver cancer. This study presents a novel epidemic model of Hepatitis B virus that integrates a constant vaccination strategy alongside the Crowley-Martin perspective. In this study, we investigate the dynamic properties of a hepatitis B epidemic model, focusing on key metrics such as the basic reproduction number (RN), which indicates the average number of secondary infections produced by one infected individual in a fully susceptible population. We analyze stability characteristics to determine how the system behaves over time, ensuring that populations remain bounded and non-negative. Using the Bendixson theorem, we confirm that the disease-free equilibrium point is globally asymptotically stable, meaning that if the system starts without the disease, it will remain disease-free over time. Our analysis also reveals a transcritical bifurcation at RN = 1, indicating a critical threshold where the dynamics of the system change; below this threshold, the disease cannot sustain itself, while above it, the disease can persist. For RN > 1, we establish the globally asymptotic stability of the endemic equilibrium point, where the disease persists in the population, using Dulac’s criteria. To validate our theoretical findings, weemploy numerical simulations using the Non-Standard Finite Difference (NSFD) scheme. The phaseplane analysis at h = 0:1 demonstrates superior efficiency and high accuracy in establishing the globalasymptotic stability of E∗, outperforming traditional methods such as the Runge-Kutta (RK4) and Eulermethods.
  • Biodiversity and ecosystem stability in a four-species prey-predator food chain with meta-communities
    Ramakrishnan Geetha, Muthurathinam Sivabalan, Mehmet Yavuz, Thangavel Megala, Manickasundaram Siva Pradeep, et al.
    Aims Bioengineering, 2025
  • A role of fear on diseased food web model with multiple functional response
    Thangavel Megala, Manickasundaram Siva Pradeep, Mehmet Yavuz, Thangaraj Nandha Gopal, Muthuradhinam Sivabalan
    Physical Biology, 2025
    In this paper, we analyze the role of fear in a three-species non-delayed ecological model that examines the interactions among susceptible prey, infectious (diseased) prey, and predators within a food web. The prey population grows in a logistic manner until it achieves a carrying capacity, reflecting common population dynamics in the absence of predators. Diseased prey is assumed to transmit infection to healthful prey by the use of a Holling type II reaction. Predators, alternatively, are modeled to consume their prey using Beddington–DeAngelis and Crowley–Martin response features. This evaluation specializes in ensuring the non-negativity of solutions, practical constraints on population dynamics, and long-term stability of the system. Each biologically possible equilibrium point is tested to understand the environmental stable states. Local stability is assessed through eigenvalue analysis, while global stability of positive equilibria is evaluated by the use of Lyapunov features to determine the overall stability of the model. Furthermore, Hopf bifurcation is explored primarily based on infection rate ɛ. Numerical simulations are carried out to validate the theoretical effects and offer practical insights into the model behaviour under specific conditions.
  • Dynamical Analysis of a Three-Species Diseased Food Web Model with Different Functional Responses
    T. Megala, T. Nandha Gopal, M. Siva Pradeep, M. Sivabalan, A. Yasotha
    Springer Proceedings in Physics, 2024
  • An Eco-Epidemiological Model Involving Prey Refuge and Prey Harvesting with Beddington–DeAngelis, Crowley–Martin and Holling Type II Functional Responses †
    Megala Thangavel, Nandha Gopal Thangaraj, Siva Pradeep Manickasundaram, Yasotha Arunachalam
    Engineering Proceedings, 2023
    Presented at the 4th International Electronic Conference on Applied Sciences, 27 October–10 November 2023

RECENT SCHOLAR PUBLICATIONS

  • Bifurcation Analysis of Tri-Trophic Predator Prey Model with Behavioral Fear Effects
    K Akshaya, S Muthukumar, M Siva Pradeep, T Megala, A Yasotha, N Raja
    Indian Journal of Natural Sciences 16 (93), 1-13 , 2026
    2026.0
  • Modelling Rabies Transmission with Vaccination: Incorporating Pharmaceutical and Particle Processing for Pre-Exposure Prophylaxis Optimization
    K Anjali, T Nandha Gopal, T Megala, AR Ashwin, A Yasotha
    Engineering Proceedings , 2025
    2025.0
  • Nonlinear Dynamics of a Soil Nutrient–Plant Biomass Interaction Model for Agricultural Systems
    T Megala, T Nandha Gopal, M SIVABALAN, PM SIVA, A YASOTHA, ...
    2025.0
  • Integrating Pharmaceutical Processing into Hepatitis Virus Treatment Model: Optimizing Drug Release and Therapeutic Response
    T Megala, M SIVABALAN, PM SIVA, A YASOTHA, N RAJA
    MDPI , 2025
    2025.0
  • Dynamical Behaviorism of Hepatitis B Epidemic Model with Crowley-Martin Perspective
    T Megala, T Nandha Gopal, Y Khan, M Siva Pradeep, M Sivabalan, ...
    Boletim da Sociedade Paranaense de Matematica 43 (3), 1-17 , 2025
    2025.0
  • Dynamics of re-infection in a Hepatitis B Virus epidemic model with constant vaccination and preventive measures: T. Megala et al.
    T Megala, T Nandha Gopal, M Siva Pradeep, M Sivabalan, A Yasotha
    Journal of Applied Mathematics and Computing 71 (4), 5669-5695 , 2025
    2025.0
    Citations: 8
  • The Role of Interferon Therapy in Stabilizing Metabolic Liver Diseases
    T Megala, T Nandha Gopal, M SIVABALAN, A YASOTHA, N RAJA
    2025.0
  • Biodiversity and ecosystem stability in a four-species prey-predator food chain with meta-communities
    R Geetha, MYM Sivabalan, T Megala, MS Pradeep
    AIMS Bioengineering 12 (4), 530-555 , 2025
    2025.0
    Citations: 5
  • A role of fear on diseased food web model with multiple functional response
    T Megala, MS Pradeep, M Yavuz, TN Gopal, M Sivabalan
    Physical Biology 22 (1), 016004 , 2025
    2025.0
    Citations: 7
  • Exploring the Dynamics of Forest Biodiversity: Perspectives from a Four–Species Disease–Food Web Model
    T Megala, M Siva Pradeep, T Nandha Gopal, A Yasotha, T Aasaithambi
    Environmental and Earth Sciences Proceedings 31 (1), 9 , 2024
    2024.0
    Citations: 1
  • A diseased three-species harvesting food web model with various response functions
    T Megala, T Nandha Gopal, M Siva Pradeep, A Yasotha
    Biology and Life Sciences Forum 30 (1), 17 , 2024
    2024.0
    Citations: 5
  • Dynamical Analysis of a Three-Species Diseased Food Web Model with Different Functional Responses
    T Megala, T Nandha Gopal, M Siva Pradeep, M Sivabalan, A Yasotha
    Springer Proceedings in Physics, 235-252 , 2024
    2024.0
    Citations: 3
  • Bifurcation Analysis of Tri-Trophic Predator Prey Model with Behavioral Fear Effects
    K Akshaya, S Muthukumar, M Siva Pradeep, T Megala, A Yasotha, N Raja
    Indian Journal of Natural Sciences , 2024
    2024.0
  • An eco-epidemiological model involving prey refuge and prey harvesting with Beddington–DeAngelis, Crowley–Martin and Holling Type II functional responses
    M Thangavel, NG Thangaraj, SP Manickasundaram, Y Arunachalam
    Engineering Proceedings 56 (1), 325 , 2023
    2023.0
    Citations: 5
  • An Eco-epidemiological Model Involving Prey Refuge and Prey Harvesting with Beddington-DeAngelis, Crowley Martin and Holling type II Functional Responses
    T Megala, T NandhaGopal, M SivaPradeep, A Yasotha
    Engineering Proceedings , 2023
    2023.0
    Citations: 1
  • Analysis of Diseased One Prey Two Predator Model with Prey Harvesting in Holling type-II Functional Response
    K Akshaya, S Muthukumar, T Megala, MS Pradeep, N Raja
    Tuijin Jishu/Journal of Propulsion Technology 47 (01), 2026 , 0

MOST CITED SCHOLAR PUBLICATIONS

  • Dynamics of re-infection in a Hepatitis B Virus epidemic model with constant vaccination and preventive measures: T. Megala et al.
    T Megala, T Nandha Gopal, M Siva Pradeep, M Sivabalan, A Yasotha
    Journal of Applied Mathematics and Computing 71 (4), 5669-5695 , 2025
    2025.0
    Citations: 8
  • A role of fear on diseased food web model with multiple functional response
    T Megala, MS Pradeep, M Yavuz, TN Gopal, M Sivabalan
    Physical Biology 22 (1), 016004 , 2025
    2025.0
    Citations: 7
  • Biodiversity and ecosystem stability in a four-species prey-predator food chain with meta-communities
    R Geetha, MYM Sivabalan, T Megala, MS Pradeep
    AIMS Bioengineering 12 (4), 530-555 , 2025
    2025.0
    Citations: 5
  • A diseased three-species harvesting food web model with various response functions
    T Megala, T Nandha Gopal, M Siva Pradeep, A Yasotha
    Biology and Life Sciences Forum 30 (1), 17 , 2024
    2024.0
    Citations: 5
  • An eco-epidemiological model involving prey refuge and prey harvesting with Beddington–DeAngelis, Crowley–Martin and Holling Type II functional responses
    M Thangavel, NG Thangaraj, SP Manickasundaram, Y Arunachalam
    Engineering Proceedings 56 (1), 325 , 2023
    2023.0
    Citations: 5
  • Dynamical Analysis of a Three-Species Diseased Food Web Model with Different Functional Responses
    T Megala, T Nandha Gopal, M Siva Pradeep, M Sivabalan, A Yasotha
    Springer Proceedings in Physics, 235-252 , 2024
    2024.0
    Citations: 3
  • Exploring the Dynamics of Forest Biodiversity: Perspectives from a Four–Species Disease–Food Web Model
    T Megala, M Siva Pradeep, T Nandha Gopal, A Yasotha, T Aasaithambi
    Environmental and Earth Sciences Proceedings 31 (1), 9 , 2024
    2024.0
    Citations: 1
  • An Eco-epidemiological Model Involving Prey Refuge and Prey Harvesting with Beddington-DeAngelis, Crowley Martin and Holling type II Functional Responses
    T Megala, T NandhaGopal, M SivaPradeep, A Yasotha
    Engineering Proceedings , 2023
    2023.0
    Citations: 1
  • Bifurcation Analysis of Tri-Trophic Predator Prey Model with Behavioral Fear Effects
    K Akshaya, S Muthukumar, M Siva Pradeep, T Megala, A Yasotha, N Raja
    Indian Journal of Natural Sciences 16 (93), 1-13 , 2026
    2026.0
  • Modelling Rabies Transmission with Vaccination: Incorporating Pharmaceutical and Particle Processing for Pre-Exposure Prophylaxis Optimization
    K Anjali, T Nandha Gopal, T Megala, AR Ashwin, A Yasotha
    Engineering Proceedings , 2025
    2025.0
  • Nonlinear Dynamics of a Soil Nutrient–Plant Biomass Interaction Model for Agricultural Systems
    T Megala, T Nandha Gopal, M SIVABALAN, PM SIVA, A YASOTHA, ...
    2025.0
  • Integrating Pharmaceutical Processing into Hepatitis Virus Treatment Model: Optimizing Drug Release and Therapeutic Response
    T Megala, M SIVABALAN, PM SIVA, A YASOTHA, N RAJA
    MDPI , 2025
    2025.0
  • Dynamical Behaviorism of Hepatitis B Epidemic Model with Crowley-Martin Perspective
    T Megala, T Nandha Gopal, Y Khan, M Siva Pradeep, M Sivabalan, ...
    Boletim da Sociedade Paranaense de Matematica 43 (3), 1-17 , 2025
    2025.0
  • The Role of Interferon Therapy in Stabilizing Metabolic Liver Diseases
    T Megala, T Nandha Gopal, M SIVABALAN, A YASOTHA, N RAJA
    2025.0
  • Bifurcation Analysis of Tri-Trophic Predator Prey Model with Behavioral Fear Effects
    K Akshaya, S Muthukumar, M Siva Pradeep, T Megala, A Yasotha, N Raja
    Indian Journal of Natural Sciences , 2024
    2024.0
  • Analysis of Diseased One Prey Two Predator Model with Prey Harvesting in Holling type-II Functional Response
    K Akshaya, S Muthukumar, T Megala, MS Pradeep, N Raja
    Tuijin Jishu/Journal of Propulsion Technology 47 (01), 2026 , 0