Dynamic analysis of a predator-prey system with nonlinear prey harvesting and square root functional response

MG Mortuja, MK Chaube, S Kumar - Chaos, Solitons & Fractals, 2021 - Elsevier
In this work, the dynamics of a predator-prey system considering square root type functional
response for prey herd behaviour and nonlinear prey harvesting has been analyzed. The …

Spatiotemporal patterns in a diffusive predator-prey model with protection zone and predator harvesting

F Souna, A Lakmeche, S Djilali - Chaos, Solitons & Fractals, 2020 - Elsevier
In this paper, a diffusive predator-prey model subject to the zero flux boundary conditions is
considered, in which the prey population exhibits social behavior and the harvesting …

Chaotic behavior of predator-prey model with group defense and non-linear harvesting in prey

S Kumar, H Kharbanda - Chaos, Solitons & Fractals, 2019 - Elsevier
We discuss the stability and bifurcation analysis of predator-prey model in the presence of
group defense and non-linear harvesting in prey. Mathematically, we analyze the dynamics …

[HTML][HTML] Effect of herd shape in a diffusive predator-prey model with time delay

S Djilali - Journal of Applied Analysis & Computation, 2019 - jaac-online.com
In this paper, we deal with the effect of the shape of herd behavior on the interaction
between predator and prey. The model analysis was studied in three parts. The first, The …

Bifurcation analysis for a double age dependence epidemic model with two delays

S Bentout, S Djilali, TM Touaoula, A Zeb… - Nonlinear …, 2022 - Springer
In recent research, we are interested in analyzing a double age dependence SIRS model.
Our main interest is to seek the influence of the incubation period and the immunity period …

[HTML][HTML] 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 …

Impact of discontinuous harvesting on a diffusive predator–prey model with fear and Allee effect

X Zhang, H Zhao, Y Yuan - Zeitschrift für angewandte Mathematik und …, 2022 - Springer
In this paper, we investigate a diffusive predator–prey model with discontinuous harvesting.
The model's boundedness is explored, as well as the presence and stability of equilibria …

Rich dynamics of a reaction–diffusion Filippov Leslie–Gower predator–prey model with time delay and discontinuous harvesting

X Jiao, L Liu, X Yu - Mathematics and Computers in Simulation, 2025 - Elsevier
To reflect the harvesting effect, a nonsmooth Filippov Leslie–Gower predator–prey model is
proposed. Unlike traditional Filippov models, the time delay and reaction–diffusion under the …

[HTML][HTML] Cross-diffusion-driven instability in a predator-prey system with fear and group defense

M Francesca Carfora, I Torcicollo - Mathematics, 2020 - mdpi.com
In this paper, a reaction-diffusion prey-predator system including the fear effect of predator
on prey population and group defense has been considered. The conditions for the onset of …

Analysis of Bogdanov–Takens bifurcation of codimension 2 in a Gause-type model with constant harvesting of both species and delay effect

N Sarif, S Sarwardi - Journal of Biological Systems, 2021 - World Scientific
In this paper, we investigate the dynamics of a system in which both prey and predator are
harvested with constant rate. Our main objective is to find the effects of harvesting on …