8 papers
Machine Learning for Complex Systems Dynamics: Detecting Bifurcations in Dynamical Systems with Deep Neural Networks
Swadesh Pal, Roderick Melnik
Critical transitions are the abrupt shifts between qualitatively different states of a system, and they are crucial to understanding tipping points in complex dynamical systems acr…
Adaptive modelling of anti-tau treatments for neurodegenerative disorders based on the Bayesian approach with physics-informed neural networks
Swadesh Pal, Roderick Melnik
Alzheimer's disease (AD) is a complex neurodegenerative disorder characterized by the accumulation of amyloid-beta (A) and phosphorylated tau (p-tau) proteins, leading to cogni…
Analysis of the impact of fear in the presence of additional food and prey refuge with nonlocal predator-prey models
Sangeeta Saha, Swadesh Pal, Roderick Melnik
There are many positive and negative factors present in the predator-prey interaction which affect the net growth of the species. Fear of predation is one such factor that creates…
Nonlocal Models in Biology and Life Sciences: Sources, Developments, and Applications
Swadesh Pal, Roderick Melnik
Nonlocality is important in realistic mathematical models of physical and biological systems when local models fail to capture the essential dynamics and interactions that occur ov…
Innate behavioural mechanisms and defensive traits in ecological models of predator-prey types
Sangeeta Saha, Swadesh Pal, Roderick Melnik
There are various examples of phenotypic plasticity in ecosystems that serve as the basis for a wide range of inducible defences against predation. These strategies include camoufl…
The role of inducible defence in ecological models: Effects of nonlocal intraspecific competitions
Sangeeta Saha, Swadesh Pal, Roderick Melnik
Phenotypic plasticity is a key factor in driving the evolution of species in the predator-prey interaction. The natural environment is replete with phenotypic plasticity, which is…