Unveiling the Link Between Cholera Transmission and Plankton: A Mathematical Modeling Perspective

Strategic Insights -

A new report from the Department of Mathematics at Barrackpore Rastraguru Surendranath College presents a mathematical model of cholera disease transmission within the human population, focusing on the consumption of zooplankton as a food source. The model incorporates a time delay to account for the period it takes for a susceptible individual to develop the disease after being infected. Numerical simulations are conducted to improve understanding of the proposed system, revealing the crucial role of transmission rate in stabilizing the system.

Key Takeaways:

  • The study presents a cholera disease transmission model within the human population, focusing on the consumption of zooplankton as a food source.
  • The model identifies various equilibrium points and conducts local stability and global sensitivity analysis.
  • Transmission rate of cholera disease plays a crucial role in stabilizing the system, and a time delay is incorporated to account for the period it takes for a susceptible individual to develop the disease.
  • Numerical simulations are conducted to improve understanding of the proposed system.
  • The study employs the normal form method and center manifold theorem to assess the characteristics of the Hopf bifurcation at the coexistence equilibrium point.
  • The mathematical model aims to provide a deeper understanding of the link between cholera transmission and plankton consumption.
  • The study includes the work of researchers Anal Chatterjee, Dibyendu Ghosh, and Ajoy Jana from the Department of Mathematics at Barrackpore Rastraguru Surendranath College.
  • The study focuses on cholera, a digestive system disease caused by the bacterium Vibrio cholerae, which is commonly transmitted through contaminated water or food.
  • The study incorporates a time delay to account for the period it takes for a susceptible individual to develop the disease after being infected.

Statistics:

  • The study focuses on the consumption of zooplankton as a food source in cholera disease transmission.
  • The model incorporates a time delay to account for the period it takes for a susceptible individual to develop the disease after being infected (4-5 days).
  • Numerical simulations are conducted to improve understanding of the proposed system.
  • The study employs the normal form method and center manifold theorem to assess the characteristics of the Hopf bifurcation at the coexistence equilibrium point.
  • The study aims to provide a deeper understanding of the link between cholera transmission and plankton consumption.

Sources:

  • NewsRx. Recent Findings from Department of Mathematics Provides New Insights into Cholera (Unveiling the Link Between Cholera Transmission and Plankton: a Mathematical Modeling Perspective). World Disease Weekly. November 4, 2025; p 46.
  • Unveiling the Link Between Cholera Transmission and Plankton: a Mathematical Modeling Perspective. International Journal of Biomathematics, 2025.
  • International Journal of Biomathematics can be contacted at: World Scientific Publ Co Pte Ltd, 5 Toh Tuck Link, Singapore 596224, Singapore. (World Scientific Publishing - www.worldscientific.com/; International Journal of Biomathematics - www.worldscinet.com/ijb/ijb.shtml)