Bistability and tristability in a deterministic prey–predator model: Transitions and emergent patterns in its stochastic counterpart

N Sk, B Mondal, AA Thirthar, MA Alqudah… - Chaos, Solitons & …, 2023‏ - Elsevier
The paper focuses on studying the global dynamics of a simple prey–predator model. The
model incorporates cooperative hunting behavior among predators and takes into account …

Bistability in modified Holling II response model with harvesting and Allee effect: Exploring transitions in a noisy environment

S Mandal, N Sk, PK Tiwari, J Chattopadhyay - Chaos, Solitons & Fractals, 2024‏ - Elsevier
Here, we explore the complex dynamics of a predator–prey system with a modified Holling
type II functional response and the Allee effect that accounts for a reduced hunting efficiency …

Schooling behavior in a generalist predator–prey system: exploring fear, refuge and cooperative strategies in a stochastic environment

S Mandal, PK Tiwari - The European Physical Journal Plus, 2024‏ - epjplus.epj.org
Our research investigates the dynamic interactions within a predator–prey system,
considering factors like fear, carry-over effects, refuge use, and cooperative hunting. We …

Environmental stochasticity driving the extinction of top predators in a food chain chemostat model

A Yang, S Yuan, T Zhang - Journal of Nonlinear Science, 2024‏ - Springer
Understanding the process of extinction in natural populations is crucial for the preservation
of ecosystem stability and biodiversity, both theoretically and practically. The risk of …

[HTML][HTML] Lévy noise versus Gaussian-noise-induced transitions in the Ghil–Sellers energy balance model

V Lucarini, L Serdukova… - Nonlinear processes in …, 2022‏ - npg.copernicus.org
We study the impact of applying stochastic forcing to the Ghil–Sellers energy balance
climate model in the form of a fluctuating solar irradiance. Through numerical simulations …

Tip** points, multistability, and stochasticity in a two-dimensional traffic network dynamics

S Narayan Chattopadhyay… - Chaos: An Interdisciplinary …, 2024‏ - pubs.aip.org
Mitigating traffic jams is a critical step for the betterment of the urban transportation system,
which comprises a large number of interconnected routes to form an intricate network. To …

Noise-induced switching in dynamics of oscillating populations coupled by migration

L Ryashko, A Belyaev, I Bashkirtseva - Chaos: An Interdisciplinary …, 2023‏ - pubs.aip.org
The problem of identifying the sources of switching in the dynamics of nonlinear coupled
systems and their mathematical prediction is considered. We study a metapopulation system …

Unveiling critical transition in a transport network model: stochasticity and early warning signals

SN Chattopadhyay, AK Gupta - Nonlinear Dynamics, 2025‏ - Springer
Abrupt shifts between stable states frequently occur in complex systems, from natural
phenomena like ecosystem collapse to engineered systems namely traffic flow. These …

[HTML][HTML] Deterministic and stochastic plankton dynamics: Effects of contamination, refuge, and additional food sources

B Mondal, S Mandal, PK Tiwari, H Wang… - Ecological Complexity, 2025‏ - Elsevier
Studying plankton systems encompasses different interests, including understanding
ecological cycles and develo** sustainable strategies in aquaculture research regarding …

Adjoint-based projections for uncertainty quantification near stochastically perturbed limit cycles and tori

Z Ahsan, H Dankowicz, C Kuehn - arxiv preprint arxiv:2404.13429, 2024‏ - arxiv.org
This paper presents a new boundary-value problem formulation for quantifying uncertainty
induced by the presence of small Brownian noise near transversally stable periodic orbits …