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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …