Spatio-temporal dynamics in a delayed prey–predator model with nonlinear prey refuge and harvesting

N Sarif, A Kumar, S Sarwardi, B Dubey - Chaos, Solitons & Fractals, 2024 - Elsevier
In the current study, we introduce a model for the temporal and spatial interactions between
prey and predator. The model incorporates a nonlinear refuge mechanism for prey, along …

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 analysis of a fast slow modified Leslie–Gower predator–prey model with constant harvest and stochastic factor

Z Li, Y Zhang - Mathematics and Computers in Simulation, 2024 - Elsevier
In this paper, the dynamic properties of a fast slow modified Leslie–Gower predator–prey
model with constant harvest are discussed. The results show that the system appears …

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 …

Dynamic complexity of a discretized predator-prey system with Allee effect and herd behaviour

Y Javaid, S Jawad, R Ahmed, AH Ali… - Applied Mathematics in …, 2024 - Taylor & Francis
This paper investigates the dynamics of a discrete-time predator-prey system in which the
prey population is impacted by the Allee effect. Possible fixed points in the system are …

Effect of discontinuous harvesting on a diffusive predator-prey model

X Zhang, S Li, Y Yuan, Q An - Nonlinearity, 2024 - iopscience.iop.org
The management of predator-prey systems, particularly those with discontinuous harvesting,
plays a crucial role in maintaining ecological balance and ensuring the sustainable use of …

Complex dynamics of a discrete-time Leslie–Gower predator–prey system with herd behavior and slow–fast effect on predator population

N Tahir, R Ahmed, NA Shah - International Journal of …, 2024 - researchgate.net
This work examines a discrete Leslie–Gower predator–prey system with herd behavior,
focusing on the influence of the slow–fast effect on predator dynamics. We analyze the …

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 …