[PDF][PDF] Bifurcation analysis in a predator-prey model with constant-yield predator harvesting

J Huang, Y Gong, S Ruan - Discrete Contin. Dyn. Syst., Ser. B, 2013 - math.miami.edu
In this paper we study the effect of constant-yield predator harvesting on the dynamics of a
Leslie-Gower type predator-prey model. It is shown that the model has a Bogdanov-Takens …

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 …

Bogdanov-Takens bifurcation in a Leslie-Gower predator-prey model with prey harvesting

Y Gong, J Huang - Acta Mathematicae Applicatae Sinica, English Series, 2014 - Springer
This paper discuss the cusp bifurcation of codimension 2 (ie Bogdanov-Takens bifurcation)
in a Leslie-Gower predator-prey model with prey harvesting, which was not revealed by Zhu …

Bifurcations of a Holling-type II predator–prey system with constant rate harvesting

G Peng, Y Jiang, C Li - International Journal of Bifurcation and …, 2009 - World Scientific
The objective of this paper is to study the dynamical properties of a Holling-type II predator–
prey system with constant rate harvesting. It is shown that the model has at most three …

[PDF][PDF] Bogdanov-Takens bifurcation of codimension 3 in a predator-prey model with constant-yield predator harvesting

J Huang, S Liu, S Ruan, X Zhang - Commun. Pure Appl. Anal, 2016 - math.miami.edu
Recently, we (J. Huang, Y. Gong and S. Ruan, Discrete Contin. Dynam. Syst. B 18 (2013),
2101-2121) showed that a Leslie-Gower type predator-prey model with constant-yield …

[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 …

Hopf bifurcation and stability analysis in a harvested one-predator–two-prey model

S Kumar, SK Srivastava, P Chingakham - Applied mathematics and …, 2002 - Elsevier
In this paper, Hopf bifurcation is demonstrated in an interacting one-predator–two-prey
model with harvesting of the predator at a constant rate. Here harvest rate is used as a …

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 …

Hopf bifurcation analysis for a predator-prey system of Holling and Leslie type

SB Hsu, TW Hwang - Taiwanese Journal of Mathematics, 1999 - projecteuclid.org
HOPF BIFURCATION ANALYSIS FOR A PREDATOR-PREY SYSTEM OF HOLLING AND
LESLIE TYPE Sze-Bi Hsu and Tzy-Wei Hwang 1. Introduction In Page 1 TAIWANESE …

Bifurcation analysis in a predator–prey system with stage-structure and harvesting

Y Qu, J Wei - Journal of the Franklin Institute, 2010 - Elsevier
In this paper, we consider a predator–prey model with stage-structure and harvesting. This
model is the same as the one developed by Kar and Pahari (2007)[9], but we make …