Hopf bifurcation and control for the bioeconomic predator–prey model with square root functional response and nonlinear prey harvesting

H Guo, J Han, G Zhang - Mathematics, 2023 - mdpi.com
In this essay, we introduce a bioeconomic predator–prey model which incorporates the
square root functional response and nonlinear prey harvesting. Due to the introduction of …

Complex dynamics of a predator-prey system with Gompertz growth and herd behavior

R Ahmed, MB Almatrafi - International Journal of Analysis and …, 2023 - etamaths.com
The complex dynamics of a predator-prey system in discrete time are studied. In this system,
we consider the prey's Gompertz growth and the square-root functional response. The …

Dynamic complexity of a slow-fast predator-prey model with herd behavior

A Suleman, R Ahmed, FS Alshammari… - AIMS …, 2023 - aimspress.com
The complex dynamics of a slow-fast predator-prey interaction with herd behavior are
examined in this work. We investigate the presence and stability of fixed points. By …

An analysis of the stability and bifurcation of a discrete-time predator–prey model with the slow–fast effect on the predator

R Ahmed, N Tahir, N Ali Shah - Chaos: An Interdisciplinary Journal of …, 2024 - pubs.aip.org
In many environments, predators have significantly longer lives and meet several
generations of prey, or the prey population reproduces rapidly. The slow–fast effect can best …

Analysis of a stochastic model for a prey–predator system with an indirect effect

L Torkzadeh, M Fahimi, H Ranjbar… - International Journal of …, 2024 - Taylor & Francis
In the current work, we develop and analyse a prey–predator model as a semi-Kolmogorov
population model in which the predator has an indirect effect on the prey. The functional …

Predator–Prey Model Considering Implicit Marine Reserved Area and Linear Function of Critical Biomass Level

A Hasibuan, AK Supriatna, E Rusyaman, MHA Biswas - Mathematics, 2023 - mdpi.com
In this work, we examine a predator–prey model that considers the implicit marine reserve in
prey species and a linear function of critical biomass level. The model's basic properties …

Demand-induced regime shift in fishery: A mathematical perspective

N Bairagi, S Bhattacharya, B Sarkar - Mathematical Biosciences, 2023 - Elsevier
Though overfishing and climate change are the primary reasons for a regime shift in the
fishery, we demonstrate here a different reason for the regime shift, not reported earlier to …

Dynamic complexity of a discrete predator-prey model with prey refuge and herd behavior

MA Shahzad, R Ahmed - VFAST Transactions on Mathematics, 2023 - vfast.org
This paper examines a discrete predator-prey model's complex dynamics. Using bifurcation
and center manifold theory, we study period-doubling and Neimark-Sacker bifurcations at …

Complex dynamics of a stage structured prey-predator model with parental care in prey

PS Harine, A Kumar, SK Sasmal - Nonlinear Dynamics, 2024 - Springer
Parental care is a behavioral strategy observed in many living organisms, where parents
devote time and resources to ensuring their offspring's survival, growth, and well-being …

Bifurcation analysis of a discrete type prey-predator model with Michaelis–Menten harvesting in predator

MG Mortuja, MK Chaube, S Kumar - Zeitschrift für Naturforschung A, 2023 - degruyter.com
A discrete predator–prey model with square root functional response describing prey herd
behavior and nonlinear predator harvesting has been considered in the present work. Three …