Bifurcation and Stability of a dynamical system with threshold prey harvesting

I Agmour, M Bentounsi, N Achtaich… - International Journal …, 2021 - inderscienceonline.com
In this study, a predator-prey interaction model with Holling type II functional response is
studied. As the continuous threshold prey harvesting is introduced, the proposed model …

[HTML][HTML] Two types of predator–prey models with harvesting: Non-smooth and non-continuous

Y Lv, R Yuan, Y Pei - Journal of computational and applied mathematics, 2013 - Elsevier
This article investigates continuous and impulsive threshold harvesting strategies on the
predator which needs to be applied only when the predator population is above or reaches …

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 …

The complex dynamical behavior of a prey-predator model with Holling type-III functional response and non-linear predator harvesting

P Majumdar, S Debnath, S Sarkar… - International Journal of …, 2022 - Taylor & Francis
In the present paper we have investigated the impact of predator harvesting in a two-
dimensional prey–predator model with Holling type III functional response. The main …

Hopf bifurcation analysis of a predator–prey model with Holling-II type functional response and a prey refuge

Y Zhou, W Sun, Y Song, Z Zheng, J Lu, S Chen - Nonlinear Dynamics, 2019 - Springer
In this paper, a predator–prey model with Holling-II type functional response and a prey
refuge is considered. The existence of Hopf bifurcations at the positive fixed point is …

The dynamics of a harvested predator–prey system with Holling type IV functional response

X Liu, Q Huang - Biosystems, 2018 - Elsevier
The paper aims to investigate the dynamical behavior of a predator–prey system with
Holling type IV functional response in which both the species are subject to capturing. We …

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 …

Bifurcation analysis of a two-dimensional predator–prey model with Holling type IV functional response and nonlinear predator harvesting

U Ghosh, P Majumdar, JK Ghosh - Journal of Biological Systems, 2020 - World Scientific
The aim of this paper is to investigate the dynamical behavior of a two-species predator–
prey model with Holling type IV functional response and nonlinear predator harvesting. The …

Bifurcation analysis and simulations of a modified Leslie–Gower predator–prey model with constant‐type prey harvesting

X Jia, M Zhao, K Huang - Mathematical Methods in the Applied …, 2023 - Wiley Online Library
The paper discusses the effects of constant prey harvesting on the dynamics of a modified
Leslie–Gower predator–prey model. Prey harvesting will lead to enriched dynamics to help …

Global bifurcation analysis in a predator–prey system with simplified Holling IV functional response and antipredator behavior

Y Yang, F Meng, Y Xu - Mathematical Methods in the Applied …, 2023 - Wiley Online Library
In this paper, we study a predator–prey system with the simplified Holling IV functional
response and antipredator behavior such that the adult prey can attack vulnerable …