Stability and bifurcation analysis in a predator–prey system with Michaelis–Menten type predator harvesting

D Hu, H Cao - Nonlinear Analysis: Real World Applications, 2017 - Elsevier
The stability and bifurcation analysis for a predator–prey system with the nonlinear Michaelis–
Menten type predator harvesting are taken into account. The existence and stability of …

[HTML][HTML] Bifurcation analysis of modified Leslie–Gower predator–prey model with Michaelis–Menten type prey harvesting

RP Gupta, P Chandra - Journal of Mathematical Analysis and Applications, 2013 - Elsevier
In the present paper we discuss bifurcation analysis of a modified Leslie–Gower prey–
predator model in the presence of nonlinear harvesting in prey. We give a detailed …

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 …

[HTML][HTML] Predator–prey interaction with harvesting: mathematical study with biological ramifications

S Chakraborty, S Pal, N Bairagi - Applied Mathematical Modelling, 2012 - Elsevier
In this article, we study a simple predator–prey interaction where predator population is
subjected to harvesting. Our qualitative analysis shows different outcomes including …

Multiple bifurcations in a predator–prey system of Holling and Leslie type with constant-yield prey harvesting

J Huang, Y Gong, J Chen - International Journal of Bifurcation and …, 2013 - World Scientific
The bifurcation analysis of a predator–prey system of Holling and Leslie type with constant-
yield prey harvesting is carried out in this paper. It is shown that the model has a Bogdanov …

Bifurcation analysis of a Leslie-type predator–prey system with simplified Holling type IV functional response and strong Allee effect on prey

Z Shang, Y Qiao - Nonlinear Analysis: Real World Applications, 2022 - Elsevier
In this paper, a Leslie-type predator–prey system with simplified Holling type IV functional
response and strong Allee effect on prey is proposed. The dissipativity of the system and the …

Dynamics analysis of a predator–prey system with harvesting prey and disease in prey species

XY Meng, NN Qin, HF Huo - Journal of biological dynamics, 2018 - Taylor & Francis
In this paper, a predator–prey system with harvesting prey and disease in prey species is
given. In the absence of time delay, the existence and stability of all equilibria are …

[HTML][HTML] Bifurcation, invariant curve and hybrid control in a discrete-time predator–prey system

LG Yuan, QG Yang - Applied Mathematical Modelling, 2015 - Elsevier
In this study, complex dynamics of a classical discrete-time predator–prey system are
investigated. Rigorous results on the existence and stability of fixed points of this system are …

[HTML][HTML] Saddle-node-Hopf bifurcation in a modified Leslie–Gower predator-prey model with time-delay and prey harvesting

R Yuan, W Jiang, Y Wang - Journal of Mathematical Analysis and …, 2015 - Elsevier
From the saddle-node-Hopf bifurcation point of view, this paper considers a modified Leslie–
Gower predator-prey model with time delay and the Michaelis–Menten type prey harvesting …

Stability and bifurcation analysis of a discrete predator–prey model with nonmonotonic functional response

Z Hu, Z Teng, L Zhang - Nonlinear Analysis: Real World Applications, 2011 - Elsevier
The paper studies the dynamical behaviors of a discrete predator–prey system with
nonmonotonic functional response. The local stability of equilibria of the model is obtained …