Existence of Hopf-Bifurcation in a Mathematical Model on Depletion of Grassland under the Catastrophic Effect of Invasive Species in Kaziranga National Park (KNP), Assam, India

A mathematical model demonstrates the existence of Hopf-bifurcation, revealing how invasive species can trigger catastrophic shifts in grassland ecosystems within Kaziranga National Park. This phenomenon explains sudden transitions from stable states to chaotic dynamics, accelerating grassland depletion under invasive pressure. The study employs nonlinear dynamical systems theory to analyze interactions between native and invasive species, providing insights into the mathematical mechanisms driving ecological collapse. These findings underscore the need for proactive management strategies to mitigate biodiversity loss in UNESCO-listed sites facing invasion threats.

(Ed.). (2020). EXISTENCE OF HOPF-BIFURCATION IN A MATHEMATICAL MODEL ON DEPLETION OF GRASSLAND UNDER THE CATASTROPHIC EFFECT OF INVASIVE SPECIES IN KAZIRANGA NATIONAL PARK (KNP), ASSAM, INDIA. Advances in Mathematics: Scientific Journal, 9(11), 9401–9415. https://doi.org/10.37418/amsj.9.11.45