Bifurcation and stability analysis of a ratio-dependent predator-prey model with predator harvesting rate

Z Lajmiri, RK Ghaziani, I Orak - Chaos, Solitons & Fractals, 2018 - Elsevier
In this paper, we study the bifurcation and stability of a ratio-dependent predator-prey model
with nonconstant predator harvesting rate. The analysis is carried out both analytically and …

Bifurcations of a ratio-dependent predator-prey system with constant rate harvesting

D Xiao, LS Jennings - SIAM Journal on Applied Mathematics, 2005 - SIAM
The ratio-dependent predator-prey model exhibits rich interesting dynamics due to the
singularity of the origin. The objective of this paper is to study the dynamical properties of the …

Dynamics in a ratio-dependent predator–prey model with predator harvesting

D Xiao, W Li, M Han - Journal of mathematical analysis and applications, 2006 - Elsevier
The objective of this paper is to study systematically the dynamical properties of a ratio-
dependent predator–prey model with nonzero constant rate predator harvesting. It is shown …

[HTML][HTML] Hopf bifurcation and non-hyperbolic equilibrium in a ratio-dependent predator–prey model with linear harvesting rate: Analysis and computation

M Xiao, J Cao - Mathematical and Computer Modelling, 2009 - Elsevier
In this paper, we propose a ratio-dependent predator–prey model with linear harvesting rate,
which can describe the real predator–prey system better than the previously published …

Codimension-2 bifurcation in a discrete predator–prey system with constant yield predator harvesting

A Singh, VS Sharma - International Journal of Biomathematics, 2023 - World Scientific
This work investigates the bifurcation analysis in a discrete-time Leslie–Gower predator–
prey model with constant yield predator harvesting. The stability analysis for the fixed points …

Bifurcations and simulations of two predator–prey models with nonlinear harvesting

Y Lv, Y Pei, Y Wang - Chaos, Solitons & Fractals, 2019 - Elsevier
We propose and investigate a predator-prey model with selective nonlinear harvesting for
the prey and predator, such harvesting increases smoothly to a limit value when the density …

Hopf and steady state bifurcation analysis in a ratio-dependent predator–prey model

L Zhang, J Liu, M Banerjee - Communications in Nonlinear Science and …, 2017 - Elsevier
In this paper, we perform spatiotemporal bifurcation analysis in a ratio-dependent predator–
prey model and derive explicit conditions for the existence of non-constant steady states that …

Bifurcation analysis in a predator–prey system with an increasing functional response and constant-yield prey harvesting

Z Shang, Y Qiao, L Duan, J Miao - Mathematics and Computers in …, 2021 - Elsevier
In this paper, a Gause type predator–prey system with constant-yield prey harvesting and
monotone ascending functional response is proposed and investigated. We focus on the …

Stability and Neimark–Sacker bifurcation of a ratio‐dependence predator–prey model

AQ Khan - Mathematical Methods in the Applied Sciences, 2017 - Wiley Online Library
In this paper, stability and bifurcation of a two‐dimensional ratio‐dependence predator–prey
model has been studied in the close first quadrant. It is proved that the model undergoes a …

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 …