Coexistence of triple, quadruple attractors and Wada basin boundaries in a predator–prey model with additional food for predators

S Garai, S Karmakar, S Jafari, N Pal - Communications in Nonlinear …, 2023 - Elsevier
In biological control programs, the provision of additional food is regarded as one of the
most useful tools for species conservation and pest management. In a system, providing …

Dynamics in the biparametric spaces of a three-species food chain model with vigilance

M Hossain, R Kumbhakar, N Pal - Chaos, Solitons & Fractals, 2022 - Elsevier
In nature, vigilance is a common anti-predator strategy prey individuals employ to protect
themselves from a possible attack. It gives them sufficient time to take cover or flee. Yet this …

Organized periodic structures and coexistence of triple attractors in a predator–prey model with fear and refuge

S Garai, NC Pati, N Pal, GC Layek - Chaos, Solitons & Fractals, 2022 - Elsevier
We report the existence of periodic structures viz., Arnold tongues, and shrimp-shaped
structures in the transitional and chaotic regimes in bi-parameter spaces of a predator–prey …

An investigation of the parameter space in a tri-trophic food chain model with refuge

R Kumbhakar, M Hossain, S Karmakar, N Pal - … and Computers in …, 2024 - Elsevier
Aside from humans, the instinct to run and hide from dangerous situations is ingrained in
individuals of many other species. Taking refuge is a very common precautionary strategy …

Chaos, periodic structures, and multistability: Complex dynamical behaviors of an eco-epidemiological model in parameter planes

S Garai, M Hossain, S Karmakar, N Pal - Chaos: An Interdisciplinary …, 2023 - pubs.aip.org
The environmental characteristics of a biological system are imbibed in some particular
parameters of that system. Significant changes in any system parameter exert influence on …

Novel organizational patterns of stability phases in a single-species population model: chiral tree, spikes adding-doubling complexification cascade

BK Hou, JS Gao, XB Rao, SL Ding - Nonlinear Dynamics, 2024 - Springer
We numerically investigate the complex dynamic behavior of a single-species population
model with stage structure, considering the influence of the birth rate and birth pulse …

Chaos and extinction risks of sexually reproductive generalist top predator in a seasonally forced food chain system with Allee effect

S Mandal, N Sk, P Kumar Tiwari… - … Journal of Nonlinear …, 2024 - pubs.aip.org
This paper investigates the dynamics of a tritrophic food chain model incorporating an Allee
effect, sexually reproductive generalist top predators, and Holling type IV and Beddington …

Dynamical analysis of a prey–predator model in toxic habitat with weak Allee effect and additional food

P Akhtar, S Karmakar, D Sahoo, G Samanta - International Journal of …, 2024 - Springer
The relationship between predator and prey in mathematical ecology is a fundamental
natural occurrence that significantly impacts community organization and the preservation of …

Multiple bifurcations in a discrete Bazykin predator–prey model with predator intraspecific interactions and ratio-dependent functional response

D Hu, X Yu, Z Zheng, C Zhang, M Liu - Qualitative Theory of Dynamical …, 2023 - Springer
A discrete Bazykin predator–prey model with predator intraspecific interactions and ratio-
dependent functional response is proposed and investigated. A brief mathematical analysis …

A stochastic hormesis Ricker model and its application to multiple fields

D Yan, M He, RA Cheke, Q Zhang, S Tang - Chaos, Solitons & Fractals, 2024 - Elsevier
Random noise pervades ecosystems and has the potential for having major impacts on the
growth processes of pest populations. In this paper, we aim to investigate the impact of …