Bifurcation analysis of a predator-prey model with predator intraspecific interactions and ratio-dependent functional response

C Arancibia-Ibarra, P Aguirre, J Flores… - Applied Mathematics and …, 2021 - Elsevier
We study the Bazykin predator-prey model with predator intraspecific interactions and ratio-
dependent functional response and show the existence and stability of two interior …

Relaxation oscillations in a slow–fast predator–prey model with weak Allee effect and Holling-IV functional response

L Zhao, J Shen - Communications in Nonlinear Science and Numerical …, 2022 - Elsevier
By using geometric singular perturbation theory and a new entry–exit function, this paper is
concerned with the number and stability of relaxation oscillations in a slow–fast predator …

A modified Leslie–Gower model incorporating Beddington–DeAngelis functional response, double Allee effect and memory effect

E Rahmi, I Darti, A Suryanto, Trisilowati - Fractal and Fractional, 2021 - mdpi.com
In this paper, a modified Leslie–Gower predator-prey model with Beddington–DeAngelis
functional response and double Allee effect in the growth rate of a predator population is …

Impact of selective grazing on the dynamics of a diffusive plankton model with component Allee effect and additional food

Y Yang, M Fan - Chaos, Solitons & Fractals, 2023 - Elsevier
In order to explore the pattern formation of non-toxic phytoplankton, toxin-producing
phytoplankton, and zooplankton, a spatiotemporal plankton model is formulated by …

Canards and homoclinic orbits in a slow-fast modified May-Holling-Tanner predator-prey model with weak multiple Allee effect

L Zhao, J Shen - Discrete and Continuous Dynamical Systems-B, 2022 - aimsciences.org
This paper studies bifurcations of canards and homoclinic orbits in a slow-fast modified May-
Holling-Tanner predator-prey model with weak multiple Allee effect. Based on geometric …

Bifurcation and stability analysis of a discrete predator–prey model with alternative prey

C Lei, X Han, W Wang - Qualitative Theory of Dynamical Systems, 2024 - Springer
In this paper, we investigate the dynamics of a class of discrete predator–prey model with
alternative prey. We prove the boundedness of the solution, the existence and local/global …

Analysis of the stability of a predator-prey model including the memory effect, double Allee effect and Holling type-I functional response

K Ramesh, A Khan, T Abdeljawad - PloS one, 2025 - journals.plos.org
This study proposes and analyses a revised predator-prey model that accounts for a twofold
Allee impact on the rate of prey population expansion. Employing the Caputo fractional …

Bifurcation analysis of a modified May–Holling–Tanner predator–prey model with Allee effect

MJ Khanghahi, RK Ghaziani - Bulletin of the Iranian Mathematical Society, 2022 - Springer
In this paper, we investigate the dynamical behavior of a modified May–Holling–Tanner
predator–prey model by considering the Allee effect in the prey and alternative food sources …

Temporal and spatio-temporal dynamics in predator-prey models

CA Arancibia-Ibarra - 2020 - eprints.qut.edu.au
This thesis analyses temporal and spatio-temporal modified Holling-Tanner predator-prey
models with alternative food for predators. Different types of functional responses and a …

Bifurcation analysis of a prey-predator model with predator intra-specific interactions and ratio-dependent functional response

C Arancibia-Ibarra, P Aguirre, J Flores… - arXiv preprint arXiv …, 2019 - arxiv.org
We study the Bazykin predator-prey model with predator intraspecific interactions and ratio-
dependent functional response and show the existence and stability of two interior …